{"product_id":"monte-carlo-simulation-in-dependability-analysis-hardback-9781836690320","title":"Monte Carlo Simulation in Dependability Analysis (Hardback) 9781836690320","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMonte Carlo Simulation in Dependability Analysis\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eFranck Bayle (Author), Laurent Denis (Author), Adrien Gigliati (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781836690320, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 22 November 2025\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e304 pages\u003cbr\u003e23.5 x 15.6 x 2 cm, 0.68 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eSystem dependability is a complex task to grasp and analyze since it encompasses reliability, maintainability, availability, failure mode analysis and feared events. For operational safety analyses, reliability is a quantitative basis for the other disciplines of maintainability, availability and safety. Reliability metrics such as failure rate or MTBF are often misused as they are only valid for low-maintenance applications, and wrongly for others, as MTBF is only relevant for availability. In addition, in operational safety, many equations do not have explicit solutions, and Monte Carlo simulations are a little-used way of obtaining and\/or confirming the solution obtained by numerical methods.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eMonte Carlo Simulation in Dependability Analysis\u003c\/i\u003e fills this gap as best as we can. This task is a difficult one, since operational safety is a cross-disciplinary activity in the engineering sciences – cross-disciplinary in that it must be present throughout a product’s life cycle.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eForeword by \u003ci\u003ePhilippe Bogdanik\u003c\/i\u003e xi\u003cbr\u003eForeword by \u003ci\u003eGilles Zwingelstein\u003c\/i\u003e xiii\u003cbr\u003eList of Notations xv\u003cbr\u003eList of Acronyms xvii\u003cbr\u003eDefinitions xix\u003cbr\u003eIntroduction xxi\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1. Reliability 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1. Predictive Reliability 3\u003c\/b\u003e\u003cbr\u003e1.1. Concept of predictive reliability 3\u003cbr\u003e1.2. FIDES methodology 4\u003cbr\u003e1.3. Application example 7\u003cbr\u003e1.4. Maintaining a reliability specification 11\u003cbr\u003e1.5. Summary 12\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Statistical Characteristics of Exponential and Weibull Distributions 13\u003c\/b\u003e\u003cbr\u003e2.1. Refresher about exponential and Weibull distributions 13\u003cbr\u003e2.2. Parameter estimation for a reliability model using the maximum likelihood method 14\u003cbr\u003e2.3. Estimator properties 17\u003cbr\u003e2.4. Simulation of failure times by inverting the probability of failure 19\u003cbr\u003e2.5. Impact of temperature 21\u003cbr\u003e2.6. Relative bias and coefficient of variation of the Weibull parameters 22\u003cbr\u003e2.7. Simulation scenarios considered from the different parameters 26\u003cbr\u003e2.8. Summary 31\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. System Reliability 33\u003c\/b\u003e\u003cbr\u003e3.1. Assumptions 34\u003cbr\u003e3.2. Maintenance-free systems 34\u003cbr\u003e3.3. Maintenance-free systems 45\u003cbr\u003e3.4. Series\/parallel system 73\u003cbr\u003e3.5. Parallel\/serial system 78\u003cbr\u003e3.6. Use cases 86\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4. Impact of Temperature on Reliability 97\u003c\/b\u003e\u003cbr\u003e4.1. Arrhenius law 97\u003cbr\u003e4.2. Operational life profile 98\u003cbr\u003e4.3. Sedyakin's principle 98\u003cbr\u003e4.4. Consequences for reliability estimates 100\u003cbr\u003e4.5. Taking the effect of maintenance into consideration 107\u003cbr\u003e4.6. Summary 114\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5. Aging Tests 115\u003c\/b\u003e\u003cbr\u003e5.1. Accelerated aging test 117\u003cbr\u003e5.2. Aging test design 118\u003cbr\u003e5.3. Sequential test at two constant temperatures 121\u003cbr\u003e5.4. Constant-level parallel testing 124\u003cbr\u003e5.5. Constant-level mixed testing 125\u003cbr\u003e5.6. Summary 125\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6. Application of the Noncentral Beta Distribution 127\u003c\/b\u003e\u003cbr\u003e6.1. Context 127\u003cbr\u003e6.2. The \"noncentral beta\" probability distribution 129\u003cbr\u003e6.3. Measurement modeling 130\u003cbr\u003e6.4. Rejection method 132\u003cbr\u003e6.5. Confidence interval for noncentral beta distribution 136\u003cbr\u003e6.6. Rationale for the choice of the noncentral beta distribution 137\u003cbr\u003e6.7. Summary 139\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7. Statistical Characteristics of HPP and PLP Processes 141\u003c\/b\u003e\u003cbr\u003e7.1. Reminders about Poisson processes 141\u003cbr\u003e7.2. HPP homogeneous Poisson process 141\u003cbr\u003e7.3. PLP power process 143\u003cbr\u003e7.4. Summary 148\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2. Maintainability 151\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8. Maintainability 153\u003c\/b\u003e\u003cbr\u003e8.1. Average number of failures 153\u003cbr\u003e8.2. Serial system 154\u003cbr\u003e8.3. Parallel system 159\u003cbr\u003e8.4. k\/n system 162\u003cbr\u003e8.5. Avionics system 164\u003cbr\u003e8.6. Summary 165\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3. Availability 167\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9. System Availability 169\u003c\/b\u003e\u003cbr\u003e9.1. Assumptions 169\u003cbr\u003e9.2. Uptime and repair time: exponential distributions 171\u003cbr\u003e9.3. Exponential distribution uptime and constant repair time 174\u003cbr\u003e9.4. Exponential distribution uptime and uniform distribution repair time 176\u003cbr\u003e9.5. Exponential distribution uptimes and normal distribution repair times 178\u003cbr\u003e9.6. Uptimes exponential distribution and repair times Weibull distribution 182\u003cbr\u003e9.7. Serial system 183\u003cbr\u003e9.8. Parallel system 186\u003cbr\u003e9.9. k-out-of-n redundancy 189\u003cbr\u003e9.10. Series\/parallel system 192\u003cbr\u003e9.11. Parallel\/serial system 193\u003cbr\u003e9.12. Energy conversion 194\u003cbr\u003e9.13. Summary 200\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 4. Safety 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10. FMEA Concurrent Failure Mechanisms 205\u003c\/b\u003e\u003cbr\u003e10.1. Maintenance-free industrial applications 209\u003cbr\u003e10.2. Industrial applications with maintenance 211\u003cbr\u003e10.3. Consideration of physical contributions 215\u003cbr\u003e10.4. Summary 219\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11. Feared Events (FTA) 221\u003c\/b\u003e\u003cbr\u003e11.1. Introduction 221\u003cbr\u003e11.2. Regulatory aspects 222\u003cbr\u003e11.3. Probability of the occurrence of a feared event 228\u003cbr\u003e11.4. Practical application 235\u003cbr\u003e11.5. Summary 239\u003c\/p\u003e \u003cp\u003eAppendices 241\u003cbr\u003eReferences 249\u003cbr\u003eIndex 251\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52446825808152,"sku":"9781836690320","price":114.55,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781836690320.jpg?v=1785114857","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/monte-carlo-simulation-in-dependability-analysis-hardback-9781836690320","provider":"Freshly Printed Books","version":"1.0","type":"link"}