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<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
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<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
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<issn pub-type="epub">2296-424X</issn>
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<article-id pub-id-type="publisher-id">1771484</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2026.1771484</article-id>
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<subj-group subj-group-type="heading">
<subject>Original Research</subject>
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<title-group>
<article-title>Temporal trends and reliability of computed tomography scanner failures: evidence from a real-world time-series analysis</article-title>
<alt-title alt-title-type="left-running-head">Luan et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphy.2026.1771484">10.3389/fphy.2026.1771484</ext-link>
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<name>
<surname>Luan</surname>
<given-names>Xiaoxiao</given-names>
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<sup>1</sup>
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<sup>&#x2020;</sup>
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<given-names>Sujuan</given-names>
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<surname>Yin</surname>
<given-names>Shaohua</given-names>
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<given-names>Zhenlin</given-names>
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<surname>Tian</surname>
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<surname>Li</surname>
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<aff id="aff1">
<label>1</label>
<institution>Department of Medical Engineering, Peking University Third Hospital</institution>, <city>Beijing</city>, <country country="CN">China</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Department of Orthopedics, Peking University Third Hospital</institution>, <city>Beijing</city>, <country country="CN">China</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>Center for Reproductive Medicine, Department of Obstetrics and Gynecology, Peking University Third Hospital</institution>, <city>Beijing</city>, <country country="CN">China</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Xiaoxiao Luan, <email xlink:href="mailto:luanxiaoxiao@bjmu.edu.cn">luanxiaoxiao@bjmu.edu.cn</email>; Yun Tian, <email xlink:href="mailto:tiany@bjmu.edu.cn">tiany@bjmu.edu.cn</email>
</corresp>
<fn fn-type="equal" id="fn001">
<label>&#x2020;</label>
<p>These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-10">
<day>10</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>14</volume>
<elocation-id>1771484</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>22</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>01</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Luan, Yu, Yin, Liu, Wang, Xiao, Pan, Jia, Xu, Tian and Li.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Luan, Yu, Yin, Liu, Wang, Xiao, Pan, Jia, Xu, Tian and Li</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-10">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Objective</title>
<p>We aimed to characterize temporal and component-specific patterns of CT malfunctions and identifying optimal monitoring intervals are critical to strengthening preventive maintenance and informed equipment management.</p>
</sec>
<sec>
<title>Methods</title>
<p>This study collected failure data from three CT scanners (uCT790, uCT860, uCT960&#x2b;) at a tertiary hospital, collecting from installation through December 2024. Time-series analysis was used to characterized annual and monthly failure counts, and Pie charts visualized component-level contributions. Reliability performance was quantified using mean time between failures (MTBF), mean time to repair (MTTR), mean time between maintenance (MTBM), mean repair time (MTR), mean maintenance time (MMT), and mean logistics delay time (MLDT). A multi-granularity time-series Poisson-Prophet model (monthly, bi-weekly, weekly) was performed to evaluate predictive accuracy using mean absolute error (MAE).</p>
</sec>
<sec>
<title>Results</title>
<p>From 2019 to 2024, failure trajectories differed across CT scanners. The uCT790 showed a rise to five failures in 2023 followed by a decline to two in 2024. The uCT860 showed a steady increase, reaching six failures in 2024. The uCT960&#x2b; increased annually to seven failures in 2024. Failures were concentrated in the scanning table, power supply, and X-ray tube. Reliability analysis showed that the uCT790 achieved the highest MTBF (8554.03 h), the uCT860 the shortest MTTR (6.60 h), and the uCT960&#x2b; the lowest MLDT (3.47 h). Across forecasting granularities, predictive accuracy improved with finer granularity: monthly MAE 0.33&#x2013;1.50, biweekly 0&#x2013;0.33, and weekly 0&#x2013;0.17.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Through integrated reliability assessment and time-series forecasting, this study delineated the distinct failure patterns of three CT scanners and identified bi-weekly forecasting as the most cost-effective temporal resolution, balancing predictive accuracy with resource efficiency.</p>
</sec>
</abstract>
<kwd-group>
<kwd>computed tomography</kwd>
<kwd>hardware failure</kwd>
<kwd>predictive maintenance</kwd>
<kwd>reliability</kwd>
<kwd>time-series forecasting</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. The study was supported by the National Key Research and Development Program of China (2023YFC2413900) and the Peking University Third Hospital (MSAF-2024-002).</funding-statement>
</funding-group>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="9"/>
<ref-count count="21"/>
<page-count count="00"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Medical Physics and Imaging</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Computed tomography (CT) scanners are the crucial imaging tool for clinical diagnosis, treatment planning, and disease monitoring [<xref ref-type="bibr" rid="B1">1</xref>]. Their high-resolution cross-sectional images has revolutionized medical practice [<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>], enabling physicians to detect disease at earlier stages and to make timely, evidence-based therapeutic decisions. Given the essential role, structural complexity, and intensive utilization of CT, its reliability is a critical determinant of clinical workflow. Hardware failure, therefore, is a usual occurrence that can affect the patient healthcare and service efficiency. Accurate prediction of CT hardware failures and proactive maintenance are therefore not merely a technical matter, but critical requirements for safeguarding patient safety and the quality of healthcare delivery.</p>
<p>In recent years, predicting and preventing equipment failures has raised increasing concerns within the field of medical engineering. Traditional strategies, such as Failure Mode and Effects Analysis, provide a structured framework to identify potential sources of malfunction and their consequences [<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B5">5</xref>]. Time-series analysis was used to analyze historical maintenance records and estimate probabilities of future breakdowns [<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>]. Machine-learning algorithms support vector machines, and artificial neural networks&#x2014;have been used to assess nonlinear associations within complex datasets and improve predictive accuracy [<xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B10">10</xref>]. These models address overall failure rates without identifying component-specific vulnerabilities, thus limiting their precision in guiding targeted maintenance. Moreover, predictive performance may deteriorate when models are applied across CT scanners with varying configurations and usage patterns, even within a single manufacturer, reflecting challenges in adaptability to real-world diversity.</p>
<p>Using longitudinal data retrieving from maintenance and repair work orders for CT scanners at Peking University Third Hospital, we systematically investigated the causes of hardware failure and quantified the component-level risk. A predictive model was developed to improve the accuracy of forecasting hardware failure counts. This study not only enhances the methodological rigor of equipment reliability research, but also provides practical evidence to inform proactive maintenance strategies, minimize downtime, and strengthen the resilience of radiology services in high-demand clinical environments.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>Methods</title>
<sec id="s2-1">
<title>Data source and collection</title>
<p>This study was conducted at Peking University Third Hospital, a large tertiary public hospital in Beijing, China. Three CT scanners manufactured by United Imaging Healthcare Co., Ltd. (Shanghai, China) were included: the uCT790, installed in January 2019, primarily used for routine examinations such as chest, spine, and maxillofacial imaging, with an average daily operating time of 18 h; the uCT960&#x2b;, installed in February 2022, also serving routine examinations including vascular, chest, and pelvic studies, with an average daily operation of 14 h; and the uCT860, installed in November 2023, dedicated to emergency examinations, operating 24 h per day and most frequently used for pelvic, head, and chest imaging. Collectively, these devices represent a spectrum of routine and emergency clinical applications, capturing diverse operational and workload conditions. A failure event refers to the event where equipment parts are replaced.</p>
<p>Maintenance and repair records were retrieved from the hospital&#x2019;s equipment management database, covering the period from installation to December 2024. Each record of service work order included the following information: work-order type, report time, dispatch time, engineer-arrival time, service-completion time, and failure description. These records were reviewed and cleaned to ensure consistency. Failure events were coded as 1 and non-failure maintenance events as 0. To construct failure time series, data were aggregated at three temporal resolutions&#x2014;monthly, bi-weekly, and weekly&#x2014;allowing assessment of model robustness across different time scales.</p>
</sec>
<sec id="s2-2">
<title>Variable definitions and outcome assessment</title>
<sec id="s2-2-1">
<title>Reliability parameters</title>
<p>Reliability of the CT scanners was assessed using a set of internationally recognized indicators [<xref ref-type="bibr" rid="B11">11</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>]. The mean time between failures (MTBF) was defined as the total accumulated uptime divided by the number of observed failures, reflecting the average operational period between two consecutive failures. The mean time to repair (MTTR) represented the average duration of active repair work following a failure, while the mean time between maintenance (MTBM) captured the average interval between any type of maintenance event. The mean repair time (MTR) further quantified the average duration of both corrective and preventive maintenance tasks. In addition, equipment availability was evaluated through three indices: inherent availability (A<sub>inh</sub>), achieved availability (A<sub>a</sub>), and operational availability (A<sub>0</sub>), each reflecting the proportion of time the equipment was functional under increasingly comprehensive operational conditions. Together, these measures provided a detailed characterization of equipment reliability in routine clinical practice.</p>
<p>The calculation of each parameter follows the formulas provided below:<disp-formula id="equ1">
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<mml:mo>&#x3d;</mml:mo>
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<mml:math id="m3">
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<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
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</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mtext>MTBM</mml:mtext>
<mml:mrow>
<mml:mtext>MTBM</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mtext>avr</mml:mtext>
<mml:mo>,</mml:mo>
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<disp-formula id="equ4">
<mml:math id="m4">
<mml:mrow>
<mml:mtext>MTBM</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mtext>pm</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>Here, <inline-formula id="inf1">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the equipment&#x2019;s cumulative operating time under normal conditions, <inline-formula id="inf2">
<mml:math id="m6">
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> counts the number of failures occurring within that operating period, <inline-formula id="inf3">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mtext>pm</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the mean interval between preventive maintenance actions, <inline-formula id="inf4">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mtext>avr</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is an intermediate variable influenced by accessibility, alignment, and repair times, and <inline-formula id="inf5">
<mml:math id="m9">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mtext>avr</mml:mtext>
<mml:mo>,</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is an intermediate variable influenced by mean repair time, supply delay, and maintenance delay.</p>
</sec>
<sec id="s2-2-2">
<title>Maintainability and supportability</title>
<p>Maintainability was evaluated using the mean maintenance time (MMT), which reflects the average time required to complete a maintenance task, independent of external logistical delays. Supportability, by contrast, was captured by the mean logistics delay time (MLDT), which quantifies the time lost due to external factors such as spare parts supply, transportation, or administrative delays. While reliability indicators primarily reflect equipment performance under normal use, maintainability and supportability parameters emphasize the efficiency of repair processes and the effectiveness of logistical support systems.</p>
</sec>
<sec id="s2-2-3">
<title>Statistical analysis</title>
<p>To account for the sparse and discrete distribution of failure events, we used a Poisson-Prophet approach model, modifying Prophet by replacing its default Gaussian likelihood with a Poisson likelihood, while retaining model&#x2019;s additive framework. At each time point t, the observed failure count y_t was modeled as:<disp-formula id="equ5">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x223c;</mml:mo>
<mml:mtext>&#x2009;Poisson</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bb;</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>Prophet models the time series <inline-formula id="inf6">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> as the sum of three additive components:<disp-formula id="equ6">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bb;</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>where g(t) captures long-term trend (piecewise linear with sparse priors), s(t) represents seasonal variation (Fourier terms with annual and weekly periods), h(t) denotes holiday or special-event effects, and &#x3b5;<sub>t</sub> is the error term. Model training was performed using Bayesian inference in Stan, with Hamiltonian Monte Carlo sampling to obtain posterior predictive distributions.<disp-formula id="equ7">
<mml:math id="m13">
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
</mml:msup>
<mml:mi mathvariant="normal">&#x3b4;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="normal">&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>Sparse priors <inline-formula id="inf7">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x223c;</mml:mo>
<mml:mi mathvariant="script">L</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> are used to control over&#x2212;fitting; larger <inline-formula id="inf8">
<mml:math id="m15">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> allows greater flexibility.</p>
<p>The seasonal component <inline-formula id="inf9">
<mml:math id="m16">
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is represented by a finite-order Fourier series:<disp-formula id="equ8">
<mml:math id="m17">
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">&#x3c0;</mml:mi>
<mml:mtext>nt</mml:mtext>
</mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">&#x3c0;</mml:mi>
<mml:mtext>nt</mml:mtext>
</mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The annual period is set to P &#x3d; 365.25 days and the weekly period to P &#x3d; 7 days, with coefficients{a<sub>n</sub>, b<sub>n</sub>}&#x223c; <inline-formula id="inf10">
<mml:math id="m18">
<mml:mrow>
<mml:mi mathvariant="script">N</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The event component <inline-formula id="inf11">
<mml:math id="m19">
<mml:mrow>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is constructed by creating dummy variables for a predefined list of holidays{D<sub>i</sub>}:<disp-formula id="equ9">
<mml:math id="m20">
<mml:mrow>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#xb7;</mml:mo>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x223c;</mml:mo>
<mml:mi mathvariant="script">N</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The error term <inline-formula id="inf12">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x223c;</mml:mo>
<mml:mi mathvariant="script">N</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>Full Bayesian inference is performed using Stan&#x2019;s Hamiltonian Monte Carlo to obtain the predictive distribution.</p>
<p>The binary failure sequences (coded as 0 or 1) at each temporal granularity were entered into the Poisson-Prophet count forecasting model, with time indices mapped to continuous calendar dates. No external covariates were included. For each forecast horizon, the model produced the Poisson mean of the Poisson distribution, representing the expected number of failures, together with associated 80% credible interval for the subsequent six time segments.</p>
<p>Models were trained at three temporal scales&#x2014;monthly (train: installation&#x2013;June 2024; test: July&#x2013;December 2024), bi-weekly (train: installation&#x2013;September 2024; test: October&#x2013;December 2024), and weekly (train: installation&#x2013;week 47th, 2024; test: week 48th&#x2013;53rd, 2024).</p>
<p>Paired t-tests were used to compare the time-based reliability parameters between any two scanners, and rank-sum tests were used for comparisons of average time parameters. The predictive performance of the Poisson-prophet count forecasting model was evaluated using the mean absolute error (MAE). Interpretation of MAE was performed relative to the mean of the observed failure counts, with MAE values &#x3c; 10&#x2013;20% of the mean indicating good predictive performance, values of approximately 30%&#x2013;50% indicating moderate performance, and values &#x3e; 50% indicating poor performance. All analyses were performed using SPSS 25.0 (SPSS Inc., Chiago, IL, United States), and a two-sided <italic>P</italic> &#x3c; 0.05 was considered significant.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec id="s3-1">
<title>Baseline of CT hardware failure</title>
<p>For the reliability analysis, data from the second full calendar year following each scanners&#x2019; installation were examined. In 2020, the uCT790 generated one repair record and one preventive-maintenance record. In 2024, the uCT860 produced ten repair records and two preventive-maintenance records. In 2023, The uCT960&#x2b; generated eleven repair records and five preventive-maintenance records. For failure forecasting, data from installation through 2024 were analyzed. Across this period, the uCT790 generated fifteen hardware-related repairs records, the uCT860 produced nine, and the uCT960&#x2b; yielded eighteen.</p>
<p>The three CT scanners showed distinct temporal patterns of hardware failures (<xref ref-type="fig" rid="F1">Figure 1</xref>). The uCT790 showed an inverted-V trajectory, rising from one failure in 2019 to a peak of five in 2023, then declining to two in 2024; the most concentrated activity occurred in July 2023, when three failures were recorded. The uCT860 showed a steady upward trend, increasing from three failures in 2023 to six in 2024, with its highest monthly count of three failures in March 2024. The uCT960&#x2b; showed relative stabilization, recording four failures in 2022 and plateauing at seven failures annually in 2023 and 2024. Within these years, recurrent monthly peaks of two failures were observed, notably in July 2023 and repeatedly throughout 2024.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Annual and monthly trends in hardware failure counts for the three CT scanners (uCT790, uCT860, and uCT960&#x2b;). <bold>(A&#x2013;C)</bold> present the annual failure counts from installation through 2024. <bold>(D&#x2013;F)</bold> present the corresponding monthly failure patterns.</p>
</caption>
<graphic xlink:href="fphy-14-1771484-g001.tif">
<alt-text content-type="machine-generated">Six line charts display failure counts for uCT790, uCT860, and uCT960+models by year (top row) and by month (bottom row). Each graph trends fluctuations in failure counts over time.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> illustrated the marked differences in the hardware-failure profiles of the three scanners. For the uCT790, failures were dispersed, with the optical coupler (27%), X-ray tube (20%), and power-related issues (20%) being the most common, alongside contributions from the balance-correcting scanning bed and the temperature control unit. By contrast, the uCT860 showed a highly concentrated failure pattern, with scanning-table faults accounting for more than half of all failures (56%), while other issues&#x2014;including image artifacts, keypad faults, respiratory-detection module errors, and electrostatic wrist-strap problems&#x2014;each constitute only 11%. The uCT960 &#x2b; showed a relatively even distribution of faults, with the scanning bed (28%), respiratory monitoring module (22%), power-related faults (17%) being predominant, while remaining components such as the camera, heat sink, laser light, and leads contribute a certain proportion.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Distribution of hardware failure causes and their proportions in the three CT scanners (uCT790, uCT860, and uCT960&#x2b;). Each pie chart displays the relative contribution of different hardware components to total failure events for the corresponding CT scanner.</p>
</caption>
<graphic xlink:href="fphy-14-1771484-g002.tif">
<alt-text content-type="machine-generated">Three labeled pie charts compare component percentages in uCT790,uCT860, and uCT960&#x2b; devices. Main segments: scanning table in uCT860 at 56 percent,scanning table in uCT960&#x2b; at 28 percent, and X-ray tube in uCT790 at 27 percent. Eachchart uses color-coded categories indicated in the legend with percentages shown inside slices.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<title>Reliability analysis of the CT</title>
<p>The main reliability and maintenance metrics for the three CT systems are shown in <xref ref-type="table" rid="T1">Table 1</xref>. The uCT960&#x2b; had short cumulative downtime (278.11 h) but the highest number of failures of 11 incidents. The uCT860 accumulated the longest downtime (300.4 h) despite a moderate failure count of 10 incidents. The uCT790 had the both the shortest downtime (205.97 h) and the fewest failures (only one incident). In terms of MTBF, the uCT790 performed best (8554.03 h), while the uCT960&#x2b; ranked lowest (771.08 h); however, the differences among the three scanners were not statistically significant (all <italic>P</italic>-values &#x3e;0.05). Regarding repair efficiency, the uCT860 had the shortest MTTR (6.595 h) and the lowest MMT (6.686 h). The uCT960&#x2b; demonstrated the fastest support response, as indicated by the shortest MLDT (3.471 h).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Reliability metrics of the three CT scanners during the second full year of operation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Reliability metrics</th>
<th align="center">uCT790 (2020)</th>
<th align="center">uCT860 (2024)</th>
<th align="center">uCT960&#x2b;(2023)</th>
<th align="center">
<italic>P</italic>-value (uCT790 vs. uCT960&#x2b;)</th>
<th align="center">
<italic>P</italic>-value (uCT860 vs. uCT960&#x2b;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Total downtime</td>
<td align="center">205.97</td>
<td align="center">300.4</td>
<td align="center">278.11</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Number of failures within the observation period</td>
<td align="center">1</td>
<td align="center">10</td>
<td align="center">11</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">MTBF</td>
<td align="center">8554.033</td>
<td align="center">845.960</td>
<td align="center">771.080</td>
<td align="center">0.440</td>
<td align="center">0.878</td>
</tr>
<tr>
<td align="center">MTTR</td>
<td align="center">103.967</td>
<td align="center">6.595</td>
<td align="center">13.630</td>
<td align="center">0.167</td>
<td align="center">0.073</td>
</tr>
<tr>
<td align="center">MTBM</td>
<td align="center">4269.950</td>
<td align="center">703.776</td>
<td align="center">522.475</td>
<td align="center">0.440</td>
<td align="center">0.782</td>
</tr>
<tr>
<td align="center">MTR</td>
<td align="center">110.050</td>
<td align="center">26.224</td>
<td align="center">25.025</td>
<td align="center">0.167</td>
<td align="center">0.860</td>
</tr>
<tr>
<td align="center">MMT</td>
<td align="center">59.050</td>
<td align="center">6.686</td>
<td align="center">17.014</td>
<td align="center">0.209</td>
<td align="center">0.157</td>
</tr>
<tr>
<td align="center">MLDT</td>
<td align="center">22</td>
<td align="center">19.445</td>
<td align="center">3.471</td>
<td align="center">0.167</td>
<td align="center">0.307</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Total downtime is reported in hours; the number of failures indicates the total count of malfunction events. MTBF (mean time between failures), MTTR (mean time to repair), MTBM (mean time between maintenance), MTR (mean time to restoration), MMT (mean maintenance time), and MLDT (mean logistical delay time) are expressed in hours. &#x201c;-&#x201d; indicates <italic>P</italic>-value not applicable.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>For the uCT790, observed and predicted failure counts were almost always zero, with only minor deviations in September and December, yielding an MAE of 0.33 (MAE/mean &#x3e;50%). The uCT860 had low observed failures but highly variable predictions&#x2014;for example, three predicted failures in July versus zero observed, and two observed failures in October versus zero predicted&#x2014;resulting in a higher MAE of 1.5 (MAE/mean &#x3d; 45.4%). The uCT960&#x2b; consistently showed observed and predicted counts close to one, achieving an MAE of 0.33 (MAE/mean &#x3d; 39.9%) and demonstrating the highest predictive accuracy (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Observed and predicted counts of CT hardware failure, July&#x2013;December 2024.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Month</th>
<th colspan="4" align="center">uCT790</th>
<th colspan="4" align="center">uCT860</th>
<th colspan="4" align="center">uCT960&#x2b;</th>
</tr>
<tr>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2024&#x2013;07</td>
<td align="center">0</td>
<td align="center">0</td>
<td rowspan="6" align="center">0.33</td>
<td rowspan="6" align="center">&#x3e;50%</td>
<td align="center">0</td>
<td align="center">3</td>
<td rowspan="6" align="center">1.5</td>
<td rowspan="6" align="center">45.4%</td>
<td align="center">1</td>
<td align="center">1</td>
<td rowspan="6" align="center">0.33</td>
<td rowspan="6" align="center">39.9%</td>
</tr>
<tr>
<td align="center">2024&#x2013;08</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">2024&#x2013;09</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">2024&#x2013;10</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">2</td>
<td align="center">0</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">2024&#x2013;11</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">2</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">2024&#x2013;12</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The value indicates the observed and predicted count of malfunction events. The predictive performance of the Poisson&#x2013;Prophet count forecasting model was evaluated using the mean absolute error (MAE).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>During October&#x2013;December 2024, the uCT790 recorded zero failures in all observed and predicted half-month intervals, yielding an MAE of 0 (MAE/mean &#x3c;10%). The uCT860 showed a one-count over-prediction in the second half of October 2024 (MAE 0.33; MAE/mean &#x3e;50%), while the first half of November matched exactly (MAE 0; MAE/mean &#x3c; 10%). The uCT960&#x2b; deviated only in the second half of December 2024, where one observed failure was under-predicted (MAE 0.17; MAE/mean &#x3e;50%); all other intervals matched exactly (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Observed and predicted counts of CT hardware failure, October&#x2013;December 2024.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Month, bi-weeks</th>
<th colspan="4" align="center">uCT790</th>
<th colspan="4" align="center">uCT860</th>
<th colspan="4" align="center">uCT960&#x2b;</th>
</tr>
<tr>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2024&#x2013;10 (first half)</td>
<td align="center">0</td>
<td align="center">0</td>
<td rowspan="6" align="center">0</td>
<td rowspan="6" align="center">&#x3c;10%</td>
<td align="center">0</td>
<td align="center">0</td>
<td rowspan="6" align="center">0.33</td>
<td rowspan="6" align="center">&#x3e;50%</td>
<td align="center">0</td>
<td align="center">0</td>
<td rowspan="6" align="center">0.17</td>
<td rowspan="6" align="center">&#x3e;50%</td>
</tr>
<tr>
<td align="left">2024&#x2013;10 (second half)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">2024&#x2013;11 (first half)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="left">2024&#x2013;11 (second half)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">2024&#x2013;12 (first half)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">2024&#x2013;12 (second half)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The value indicates the observed and predicted count of malfunction events. The predictive performance of the Poisson&#x2013;Prophet count forecasting model was evaluated using the mean absolute error (MAE).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across week 48th to 53rd of 2024, observed and predicted counts remained stable (<xref ref-type="table" rid="T4">Table 4</xref>). The uCT790 and uCT860 had zero failures throughout, yielding an MAE of 0 and indicating perfect predictive accuracy (MAE/mean &#x3c;10%). The uCT960&#x2b; matched zero for week 48th&#x2013;52th, with a slight under-prediction of one failure in week 53rd (MAE 0.17; MAE/mean &#x3e;50%).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Observed and predicted counts of CT hardware failure, 48th&#x2013;53rd week, 2024.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Month, week<sup>&#x2a;</sup>
</th>
<th colspan="4" align="center">uCT790</th>
<th colspan="4" align="center">uCT860</th>
<th colspan="4" align="center">uCT960&#x2b;</th>
</tr>
<tr>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
<th align="center">Observed</th>
<th align="center">Predicted</th>
<th align="center">MAE</th>
<th align="center">MAE/mean observed</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2024&#x2013;11 (48th week)</td>
<td align="center">0</td>
<td align="center">0</td>
<td rowspan="6" align="center">0</td>
<td rowspan="6" align="center">&#x3c;10%</td>
<td align="center">0</td>
<td align="center">0</td>
<td rowspan="6" align="center">0</td>
<td rowspan="6" align="center">&#x3c;10%</td>
<td align="center">0</td>
<td align="center">0</td>
<td rowspan="6" align="center">0.17</td>
<td rowspan="6" align="center">&#x3e;50%</td>
</tr>
<tr>
<td align="center">2024&#x2013;12 (49th week)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">2024&#x2013;12 (50th week)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">2024&#x2013;12 (51st week)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">2024&#x2013;12 (52<sup>th</sup> week)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">2024&#x2013;12 (53rd week)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;Week 48th&#x2013;53rd of 2024 correspond to the following calendar periods: week 48th (November 25&#x2013;December 1), week 49th (December 2&#x2013;8), week 50th (December 9&#x2013;15), week 51st (December 16&#x2013;22), week 52th (December 23&#x2013;29), and week 53rd (December 30&#x2013;31). The value indicates the observed and predicted count of malfunction events. The predictive performance of the Poisson&#x2013;Prophet count forecasting model was evaluated using the mean absolute error (MAE).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>This study systematically assessed the reliability, hardware-failure patterns, and predictive performance of three CT systems (uCT790, uCT860, and uCT960&#x2b;) installed at a large public tertiary hospital in China. Our findings showed that there was substantial difference in failure frequency, downtime, and maintenance efficiency across the three CT scanners, but the overall predictive models demonstrated relative agreement between observed and expected values, with small MAEs across different time scales. These findings suggest that the models are robust for forecasting system performance and may provide practical value for optimizing maintenance strategies.</p>
<sec id="s4-1">
<title>Temporal trend and components of hardware failures</title>
<p>Our results were consistent with the findings from previous studies emphasizing the susceptibility of CT systems to hardware degradation under high workloads. For instance, X-ray tubes and slip ring assemblies are frequently considered as primary failure-prone components due to heat accumulation and continuous electrical transmission [<xref ref-type="bibr" rid="B14">14</xref>]. Similar to our finding in the uCT790, which despite the highest MTBF still experienced frequent X-ray tube failures, this highlights the importance of complementing system-level reliability metrics with component-level analysis. The uCT790 showed a fluctuating increase in failures from 2019 through 2023, peaking in 2023 before declining in 2024. This trajectory likely reflects the cumulative burden of operating hours, with progressive aging and prolonged use gradually exposing latent weaknesses, while the 2024 decline suggests the benefits of recent maintenance or component replacements. The uCT790 is frequently used for chest imaging, where the X-ray tube must continuously adjust its output power to accommodate variable tissue densities, leading to heat accumulation and accelerated wear.</p>
<p>The uCT860s high rate of scanning-table failures mirrors earlier showed that mechanical subsystems, especially patient couches subjected to frequent motion and more frequently. The uCT860, used exclusively for emergency examinations, showed a steady year-on-year increase, reaching six failures in 2024. This escalation reflects its round-the-clock, high-intensity workload, with scanning-table failures accounting for 56% of the total and highlighting the substantial stress imposed by continuous patient throughput [<xref ref-type="bibr" rid="B15">15</xref>]. The predominance of pelvic examinations further contributes to repeated mechanical and electrical strain on the scanning bed, accelerating its wear. In many vascular CT/MRI imaging protocols, performance depends heavily on auxiliary systems such as respiratory monitoring modules and ECG gating. Movement control and peripheral monitoring are among the more failure-prone subsystems in high-use settings. The relatively stable performance of the uCT960&#x2b;, followed by a rise in failures in later years, reflects progressive wear of auxiliary components such as respiratory monitoring modules, corroborating earlier observations of peripheral system vulnerabilities in vascular imaging protocols [<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>].</p>
<p>The uCT960&#x2b;, used mainly for routine rather than emergency imaging, showed relative stability in 2022 and 2023, followed by a sharp rise to seven failures in 2024. This pattern is most plausibly attributable to the combined effects of increasing service duration and progressive component degradation. The uCT960&#x2b;, often used for vascular detection, also strains components like the respiratory monitoring module. Generally, equipment failure frequency and causes are greatly influenced by usage patterns. To enhance operational efficiency and reliability, customized maintenance and improvement measures should be implemented based on each device&#x2019;s characteristics and failure patterns.</p>
</sec>
<sec id="s4-2">
<title>Reliability metrics</title>
<p>The reliability analysis showed that the uCT790 had the lowest MTBF (602.9 h) compared with the uCT860 (809.1 h) and the uCT960&#x2b; (670.2 h), indicating shorter operating intervals between failures, most plausibly reflecting its longer service duration and cumulative aging effects. By contrast, the higher MTBF of the uCT860 suggested greater inherent stability, likely due to more advanced design, improved manufacturing quality, or implementation of robust preventive maintenance programs [<xref ref-type="bibr" rid="B18">18</xref>]. In terms of MTTR, the uCT90 required the longest repair time (19.4 h), exceeding the uCT860 (18.7 h) and the uCT960&#x2b; (13.63 h), suggesting that prolonged repair time of the uCT790 may be attributable to hard-to-source components or more complex service procedures. By comparison, despite a higher failure count, the uCT960&#x2b; achieved the shortest MTTR, reflecting efficient corrective maintenance, probably facilitated by robust diagnostics or a modular architecture that enabled rapid part replacement [<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B20">20</xref>].</p>
<p>In forecasting analyses, the uCT860 showed a markedly higher monthly MAE (1.5 h) compared with the uCT790 and uCT960&#x2b;. This poorer performance is largely explained by its short installation history (since late 2023), which limited the training set and precluded detection of long-term failure patterns, as well as the stochastic nature of failures arising from its continuous emergency use. By contrast, the uCT790 and uCT960&#x2b; had longer operational histories and more regular workload patterns, allowing the model to capture steadier trends and achieve lower MAE values. As temporal resolution increased from monthly to bi-weekly and then to weekly, the MAE decreased across CT scanners. Finer time steps reduced data volatility and randomness, enabling the model to capture short-term failure patterns with greater precision. For example, the uCT860s MAE declined from 1.5 (monthly) to 0.33 (bi-weekly) and 0.17 (weekly), demonstrating improved predictive accuracy for stochastic events at shorter intervals. Overall, predictive accuracy varied strongly by temporal granularity: weekly forecasts achieved the highest precision, bi-weekly forecasts were intermediate, and monthly forecasts were least accurate. However, weekly predictions were dominated by zeros, raising concerns about zero-inflation bias and increased labor costs for model updating. A balanced assessment of predictive stability and resource expenditure indicated that bi-weekly forecasts provided the most cost-effective approach. Although the MAE/mean observed of the groups is greater than 50%, due to the extremely sparse nature of the data, the relative error ratio naturally increases. At this point, the absolute error MAE is more practically valuable.</p>
</sec>
<sec id="s4-3">
<title>Limitations and strengths</title>
<p>This study has several limitations. First, the historical failure records were relatively short for some systems&#x2014;particularly the uCT860 and uCT960&#x2b;&#x2014;which may have constrained the accuracy and stability of failure forecasts. Second, although we examined key reliability and maintainability metrics, the analysis did not incorporate all contextual variables that may influence equipment performance, such as differences in operator practices, variations in maintenance staff expertise, or supply-chain delays for spare parts. Third, the prediction model was applied to a single institution and a single manufacturer&#x2019;s CT systems, which may limit the generalizability of findings to other vendors, institutions, or health system contexts. Finally, the forecasting models, while useful for short-term trend prediction, are inherently data-driven and do not explicitly account for unobserved clinical or environmental shocks, such as sudden changes in workload during epidemics. The study has strengths. To our knowledge, this is one of the large-scale investigations to integrate reliability metrics, failure patterns, and predictive modeling across multiple CT scanners within a real-world tertiary hospital. The analysis not only identified distinct equipment-level failure trajectories but also linked these to component-level vulnerabilities and usage patterns, offering mechanistic insights beyond simple failure counts. Moreover, by reparameterizing Prophet into a Poisson-Prophet framework, we adapted a widely used forecasting tool to accommodate the sparse and discrete nature of medical device failure data, thereby enhancing methodological rigor [<xref ref-type="bibr" rid="B21">21</xref>]. Finally, the combination of system-level reliability metrics with predictive modeling provides actionable evidence to guide proactive maintenance scheduling, resource allocation, and long-term equipment management in high-demand clinical environments.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>This study provides a comprehensive evaluation of the reliability, hardware-failure dynamics, and predictive modeling of three CT systems in a large tertiary hospital setting. By integrating reliability metrics with detailed failure statistics and adapting a Poisson-Prophet forecasting framework, we demonstrated that each scanner exhibits distinct temporal trajectories and component-level vulnerabilities. Importantly, the analysis identified bi-weekly forecasting as the most cost-effective temporal resolution, balancing predictive accuracy with resource efficiency. These findings contribute to a deeper understanding of CT system reliability and provide actionable evidence to inform proactive maintenance scheduling, optimize spare-part inventory, and guide institutional strategies for equipment lifecycle management.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors on request.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>XL: Conceptualization, Visualization, Writing &#x2013; original draft. SuY: Resources, Validation, Writing &#x2013; original draft. ShY: Formal Analysis, Methodology, Validation, Writing &#x2013; original draft. ZL: Conceptualization, Validation, Writing &#x2013; review and editing. DW: Supervision, Validation, Writing &#x2013; review and editing. YX: Methodology, Validation, Writing &#x2013; review and editing. RP: Supervision, Validation, Writing &#x2013; review and editing. BJ: Supervision, Validation, Writing &#x2013; review and editing. FX: Conceptualization, Supervision, Writing &#x2013; review and editing. YT: Conceptualization, Resources, Supervision, Writing &#x2013; review and editing. RL: Conceptualization, Supervision, Writing &#x2013; review and editing.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>We are grateful to Ziquan Wang of United Imaging Healthcare Co., Ltd. (Shanghai, China) for providing the critical opinions to this study.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2012507/overview">Valdir Sabbaga Amato</ext-link>, University of S&#xe3;o Paulo, Brazil</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3169140/overview">Yuening Zhang</ext-link>, University of Oklahoma University College, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2298811/overview">Enwu Liu</ext-link>, Flinders University, Australia</p>
</fn>
</fn-group>
<fn-group>
<fn fn-type="abbr" id="abbrev1">
<label>Abbreviations:</label>
<p>MTBF: Mean time between failures; MTTR: Mean time to repair; MTBM: Mean time between maintenance; MTR: Mean repair time; MMT: Mean maintenance time; MLDT: Mean logistics delay time; MAE: Mean absolute error; CT: Computed tomography.</p>
</fn>
</fn-group>
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