{"id":100165,"date":"2026-02-15T20:21:57","date_gmt":"2026-02-15T20:21:57","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100165"},"modified":"2026-07-12T22:35:58","modified_gmt":"2026-07-12T22:35:58","slug":"mtbf-mttr-availability","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/hu\/calculators\/mtbf-mttr-availability\/","title":{"rendered":"Repairable-Item Uptime and Steady-State Availability Worksheet"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Repairable-Item Uptime and Steady-State Availability Worksheet\",\"description\":\"Separate aggregated observation estimates from a documented two-state renewal model for MTBF,mean time to restoration and steady-state availability.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/mtbf-mttr-availability\/\",\"applicationCategory\":\"Engineering 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17px;border:1px solid #e8cf91;border-radius:10px;background:var(--warn);color:#624b13}.av-section{margin-top:18px;padding:22px 24px}.av-section p{margin:8px 0;color:var(--muted)}.av-section ul{margin:10px 0 0;padding-left:22px;color:var(--muted)}.av-code{font-family:ui-monospace,SFMono-Regular,Consolas,monospace;color:#113d62}.av-table{width:100%;border-collapse:collapse;margin-top:12px}.av-table th,.av-table td{padding:10px;border:1px solid var(--line);text-align:left;vertical-align:top}.av-table th{background:var(--soft)}.av-section a{color:var(--blue2)}@media(max-width:680px){.av-grid,.av-rgrid{grid-template-columns:1fr}.av-wide{grid-column:auto}.av-hero{padding:26px 20px}.av-panel,.av-section{padding:19px}.av-rhead{display:block}.av-rsub{text-align:left;margin-top:5px}}@media print{.av-wrap{max-width:none}.av-hero,.av-panel,.av-section{box-shadow:none}}\n<\/style>\n<div class=\"av-wrap\">\n<header class=\"av-hero\"><div class=\"av-kicker\">Repairable item \u00b7 explicit time boundary \u00b7 observation separated from model<\/div><h1>Repairable-Item Uptime and Steady-State Availability Worksheet<\/h1><p class=\"av-lead\">Estimate operating-time and restoration measures from one documented observation window,or evaluate a two-state steady-state model from documented mean up and down times. The worksheet does not turn a reciprocal mean into an instantaneous hazard rate.<\/p><div class=\"av-badges\"><span class=\"av-badge\">IEC terminology<\/span><span class=\"av-badge\">MTTR=restoration<\/span><span class=\"av-badge\">No universal availability grade<\/span><span class=\"av-badge\">Starts blank<\/span><\/div><\/header>\n<main class=\"av-main\"><section class=\"av-panel\"><h2>Define the data basis<\/h2><p class=\"av-note\">Use one repairable item or a documented homogeneous population. Define exactly which intervals are up,down,externally disabled,preventive,administrative or excluded;different boundaries produce different availability measures.<\/p><form id=\"av-form\" novalidate><div class=\"av-grid\">\n<div class=\"av-field\"><label class=\"av-label\" for=\"av-basis\">Calculation basis<\/label><select class=\"av-select\" id=\"av-basis\"><option value=\"\">Select\u2026<\/option><option value=\"aggregated-observation\">Aggregated observation window<\/option><option value=\"documented-two-state-means\">Documented two-state renewal means<\/option><\/select><\/div>\n<div class=\"av-field\"><label class=\"av-label\" for=\"av-unit\">Time unit<\/label><select class=\"av-select\" id=\"av-unit\"><option value=\"\">Select\u2026<\/option><option value=\"second\">seconds<\/option><option value=\"minute\">minutes<\/option><option value=\"hour\">hours<\/option><option value=\"day\">days<\/option><\/select><\/div>\n<div class=\"av-field\" id=\"av-uptime-field\" hidden><label class=\"av-label\" for=\"av-uptime\">Total included up\/operating time U<\/label><input class=\"av-input\" id=\"av-uptime\" inputmode=\"decimal\" autocomplete=\"off\"><\/div>\n<div class=\"av-field\" id=\"av-downtime-field\" hidden><label class=\"av-label\" for=\"av-downtime\">Total included down\/restoration time D<\/label><input class=\"av-input\" id=\"av-downtime\" inputmode=\"decimal\" autocomplete=\"off\"><span class=\"av-help\">May be zero;do not silently omit delays that belong to the selected down-state boundary.<\/span><\/div>\n<div class=\"av-field\" id=\"av-failures-field\" hidden><label class=\"av-label\" for=\"av-failures\">Observed failures N<sub>f<\/sub><\/label><input class=\"av-input\" id=\"av-failures\" inputmode=\"numeric\" autocomplete=\"off\"><span class=\"av-help\">Whole count,including zero for a right-censored no-failure window.<\/span><\/div>\n<div class=\"av-field\" id=\"av-restorations-field\" hidden><label class=\"av-label\" for=\"av-restorations\">Completed restorations N<sub>r<\/sub><\/label><input class=\"av-input\" id=\"av-restorations\" inputmode=\"numeric\" autocomplete=\"off\"><span class=\"av-help\">Separate count prevents an open final outage from being averaged as completed restoration.<\/span><\/div>\n<div class=\"av-field\" id=\"av-mean-up-field\" hidden><label class=\"av-label\" for=\"av-mean-up\">Documented mean up\/operating time \u03bc<sub>U<\/sub><\/label><input class=\"av-input\" id=\"av-mean-up\" inputmode=\"decimal\" autocomplete=\"off\"><\/div>\n<div class=\"av-field\" id=\"av-mean-down-field\" hidden><label class=\"av-label\" for=\"av-mean-down\">Documented mean down\/restoration time \u03bc<sub>D<\/sub><\/label><input class=\"av-input\" id=\"av-mean-down\" inputmode=\"decimal\" autocomplete=\"off\"><span class=\"av-help\">May be zero only when the source\/model genuinely defines zero down time.<\/span><\/div>\n<div class=\"av-field av-wide\"><label class=\"av-label\" for=\"av-boundary\">Item,population and state-boundary record<\/label><input class=\"av-input\" id=\"av-boundary\" maxlength=\"600\" autocomplete=\"off\" placeholder=\"Repairable item\/population;window;required function;up\/down definitions;included\/excluded delays,maintenance and censoring\"><\/div>\n<div class=\"av-field av-wide\"><label class=\"av-label\" for=\"av-source\">Data\/model source and uncertainty record<\/label><textarea class=\"av-textarea\" id=\"av-source\" maxlength=\"2400\" placeholder=\"CMMS\/test\/source and edition;failure\/restoration event rules;exposure aggregation;population homogeneity;censoring;confidence\/uncertainty;for a model,renewal\/two-state assumptions and applicability\"><\/textarea><\/div>\n<\/div><p class=\"av-error\" id=\"av-error\" role=\"alert\"><\/p><\/form>\n<section class=\"av-results\" id=\"av-results\" hidden data-json=\"\"><div class=\"av-rhead\"><div class=\"av-rtitle\">Uptime and renewal arithmetic<\/div><div class=\"av-rsub\" id=\"av-summary\">\u2014<\/div><\/div><div class=\"av-rgrid\">\n<article class=\"av-card\"><h3>Observed up-time fraction<\/h3><div class=\"av-val\" id=\"av-r-observed\">\u2014<\/div><div class=\"av-unit\">U\/(U+D);observation basis only<\/div><\/article>\n<article class=\"av-card\"><h3>Steady-state availability model<\/h3><div class=\"av-val\" id=\"av-r-modeled\">\u2014<\/div><div class=\"av-unit\">\u03bcU\/(\u03bcU+\u03bcD) under stated conditions<\/div><\/article>\n<article class=\"av-card\"><h3>MTBF \/ mean operating time<\/h3><div class=\"av-val\" id=\"av-r-mtbf\">\u2014<\/div><div class=\"av-unit\">repairable item;operating time between failures<\/div><\/article>\n<article class=\"av-card\"><h3>Mean time to restoration<\/h3><div class=\"av-val\" id=\"av-r-mttr\">\u2014<\/div><div class=\"av-unit\">IEC MTTR term;not merely hands-on repair time<\/div><\/article>\n<article class=\"av-card\"><h3>Observed failure frequency<\/h3><div class=\"av-val\" id=\"av-r-frequency\">\u2014<\/div><div class=\"av-unit\">Nf\/U;not instantaneous failure intensity<\/div><\/article>\n<article class=\"av-card\"><h3>Included total time<\/h3><div class=\"av-val\" id=\"av-r-total\">\u2014<\/div><div class=\"av-unit\">U+D for observation;not calendar time unless defined so<\/div><\/article>\n<article class=\"av-card\"><h3>Failure\/restoration counts<\/h3><div class=\"av-val\" id=\"av-r-counts\">\u2014<\/div><div class=\"av-unit\">different counts disable cycle-equivalence claim<\/div><\/article>\n<article class=\"av-card\"><h3>Calculation basis<\/h3><div class=\"av-val\" id=\"av-r-basis\">\u2014<\/div><div class=\"av-unit\">observation estimate or documented model<\/div><\/article>\n<article class=\"av-card\"><h3>State boundary<\/h3><div class=\"av-val\" id=\"av-r-boundary\">\u2014<\/div><div class=\"av-unit\">verbatim evidence;not automatically interpreted<\/div><\/article>\n<\/div><\/section>\n<div class=\"av-alert\"><strong>Decision boundary:<\/strong> no availability percentage is universally \u201cworld-class,\u201d\u201cgood\u201d or acceptable. Targets depend on required function,demand,mission,safety,redundancy,maintenance\/support and economic consequences. This worksheet does not predict an individual failure,fit a lifetime distribution,estimate confidence intervals,prove a constant hazard,or approve maintenance or safety decisions.<\/div><\/section><\/main>\n<section class=\"av-section\"><h2>Equations and interpretation<\/h2><table class=\"av-table\"><thead><tr><th>Basis<\/th><th>Equation<\/th><th>Meaning<\/th><\/tr><\/thead><tbody><tr><td>Aggregated observation<\/td><td><span class=\"av-code\">up fraction=U\/(U+D)<\/span><br><span class=\"av-code\">MTBF estimate=U\/Nf<\/span><br><span class=\"av-code\">MTTR estimate=D\/Nr<\/span><br><span class=\"av-code\">frequency=Nf\/U<\/span><\/td><td>Descriptive estimates for the entered window. Zero failures yields no finite MTBF point estimate;an open\/censored restoration is not a completed restoration.<\/td><\/tr><tr><td>Documented two-state means<\/td><td><span class=\"av-code\">Ass=\u03bcU\/(\u03bcU+\u03bcD)<\/span><br><span class=\"av-code\">reciprocal mean=1\/\u03bcU<\/span><\/td><td>Steady-state\/asymptotic availability only under an applicable alternating up\/down renewal model with finite means.<\/td><\/tr><\/tbody><\/table><p>When the observation contains equal positive failure and restoration counts and the same complete cycles,substitution makes <span class=\"av-code\">(U\/N)\/(U\/N+D\/N)=U\/(U+D)<\/span>. The equality is not asserted when counts or state boundaries differ. All time inputs use the same selected unit;percentages are dimensionless.<\/p><\/section>\n<section class=\"av-section\"><h2>IEC definitions and standard boundary<\/h2><p><a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=192-01-23&amp;openform=\" target=\"_blank\" rel=\"noopener\">IEC IEV192-01-23<\/a> defines availability and requires all relevant intervals to be assigned to up\/down states or excluded;it notes effects from reliability,maintainability,supportability,maintenance and delays. <a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=192-08-07&amp;openform=\" target=\"_blank\" rel=\"noopener\">IEV192-08-07<\/a> defines steady-state availability and says that under certain conditions it can be expressed as mean up time divided by mean up plus mean down time.<\/p><p><a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=192-05-13&amp;openform=\" target=\"_blank\" rel=\"noopener\">IEV192-05-13<\/a> defines MTBF as the expectation of operating time between failures and restricts it to repairable items. This differs from <a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=192-05-03&amp;openform=\" target=\"_blank\" rel=\"noopener\">time between failures,IEV192-05-03<\/a>,which includes up and down time. <a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=192-07-23&amp;openform=\" target=\"_blank\" rel=\"noopener\">IEV192-07-23<\/a> defines MTTR as mean time to restoration and marks \u201cmean time to repair\u201d deprecated.<\/p><p><a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=192-05-08&amp;openform=\" target=\"_blank\" rel=\"noopener\">IEV192-05-08<\/a> defines instantaneous failure intensity through a limiting expected event count. Therefore the observed ratio <span class=\"av-code\">Nf\/U<\/span> or reciprocal mean is not labeled \u03bb or an instantaneous hazard. <a href=\"https:\/\/webstore.iec.ch\/en\/publication\/25646\" target=\"_blank\" rel=\"noopener\">IEC61703:2016,Edition2<\/a>,valid with stability date2028,provides mathematical expressions and models for IEC60050-192 measures. Exact model clauses and additional conditions remain <span class=\"av-code\">NEEDS_LICENSED_SOURCE<\/span>.<\/p><\/section>\n<section class=\"av-section\"><h2>Data safeguards<\/h2><ul><li>Define the required function and observation exposure. Calendar duration,enabled time,operating time and up time are not automatically interchangeable.<\/li><li>Specify whether fault-detection,administrative,logistic,preventive-maintenance and externally disabled intervals are in D or excluded.<\/li><li>Use separate failure and completed-restoration counts. A window can begin\/end inside a cycle;right censoring and an unresolved final outage affect naive means.<\/li><li>For pooled assets,justify a homogeneous population and exposure aggregation. A fleet event count divided by one asset&#8217;s time is invalid.<\/li><li>Report uncertainty\/confidence and distribution\/model checks separately. A mean alone does not describe ageing,bathtub behavior,repair queues,redundancy or common-cause failures.<\/li><\/ul><\/section>\n<section class=\"av-section\"><h2>What was corrected<\/h2><p>The former input was labeled total operating time,but code subtracted total repair time before dividing by failures while the FAQ stated operating time\/failures. It also silently treated blank repair time as zero,used one failure count for both failure and restoration means,called1\/MTBF a failure rate \u03bb,and assigned universal90\/95\/99% quality grades.<\/p><p>The replacement starts blank,requires a state\/source record,separates aggregated observations from a documented steady-state model,and uses distinct failure\/restoration counts. Zero failures\/restorations and censored windows return not evaluated where a finite mean cannot be estimated. Presets,prefix parsing,automatic grades,innerHTML and ambiguous \u201cmean time to repair\u201d language were removed.<\/p><\/section>\n<\/div>\n<script>(function(){'use strict';function $(id){return document.getElementById(id)}var UNITS={second:'s',minute:'min',hour:'h',day:'d'};function num(s){s=String(s).trim();if(!s||s.includes('.')&&s.includes(',')||!\/^[+-]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)(?:[eE][+-]?\\d+)?$\/.test(s))return NaN;var n=Number(s.replace(',','.'));return Number.isFinite(n)&&Math.abs(n)<=1e100?n:NaN}function whole(s){s=String(s).trim();if(!\/^\\d+$\/.test(s))return NaN;var n=Number(s);return Number.isSafeInteger(n)?n:NaN}function fmt(n){if(n===0)return'0';var a=Math.abs(n);return a>=1e12||a<1e-8?n.toExponential(9):Number(n.toPrecision(12)).toLocaleString('en-US',{maximumFractionDigits:20})}function 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