Details

Handbook of Safety Principles


Handbook of Safety Principles


Wiley Series in Operations Research and Management Science, Band 9 1. Aufl.

von: Niklas Möller, Sven Ove Hansson, Jan-Erik Holmberg, Carl Rollenhagen

132,99 €

Verlag: Wiley
Format: EPUB
Veröffentl.: 08.01.2018
ISBN/EAN: 9781118950715
Sprache: englisch
Anzahl Seiten: 832

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Beschreibungen

<p><b>Presents recent breakthroughs in the theory, methods, and applications of safety and risk analysis for safety engineers, risk analysts, and policy makers</b></p> <p>Safety principles are paramount to addressing structured handling of safety concerns in all technological systems. This handbook captures and discusses the multitude of safety principles in a practical and applicable manner. It is organized by five overarching categories of safety principles: Safety Reserves; Information and Control; Demonstrability; Optimization; and Organizational Principles and Practices. With a focus on the structured treatment of a large number of safety principles relevant to all related fields, each chapter defines the principle in question and discusses its application as well as how it relates to other principles and terms. This treatment includes the history, the underlying theory, and the limitations and criticism of the principle. Several chapters also problematize and critically discuss the very concept of a safety principle. The book treats issues such as: What are safety principles and what roles do they have? What kinds of safety principles are there? When, if ever, should rules and principles be disobeyed? How do safety principles relate to the law; what is the status of principles in different domains? The book also features:</p> <p>• Insights from leading international experts on safety and reliability</p> <p>• Real-world applications and case studies including systems usability, verification and validation, human reliability, and safety barriers</p> <p>• Different taxonomies for how safety principles are categorized</p> <p>• Breakthroughs in safety and risk science that can significantly change, improve, and inform important practical decisions</p> <p>• A structured treatment of safety principles relevant to numerous disciplines and application areas in industry and other sectors of society</p> <p>• Comprehensive and practical coverage of the multitude of safety principles including maintenance optimization, substitution, safety automation, risk communication, precautionary approaches, non-quantitative safety analysis, safety culture, and many others</p> <p><i>The Handbook of Safety Principles</i> is an ideal reference and resource for professionals engaged in risk and safety analysis and research. This book is also appropriate as a graduate and PhD-level textbook for courses in risk and safety analysis, reliability, safety engineering, and risk management offered within mathematics, operations research, and engineering departments.</p> <p><b>NIKLAS MÖLLER, PhD, </b>is Associate Professor at the Royal Institute of Technology in Sweden. The author of approximately 20 international journal articles, Dr. Möller's research interests include the philosophy of risk, metaethics, philosophy of science, and epistemology.</p> <p><b>SVEN OVE HANSSON, PhD, </b>is Professor of Philosophy at the Royal Institute of Technology. He has authored over 300 articles in international journals and is a member of the Royal Swedish Academy of Engineering Sciences. Dr. Hansson is also a Topical Editor for the Wiley Encyclopedia of Operations Research and Management Science.</p> <p><b>JAN-ERIK HOLMBERG, PhD, </b>is Senior Consultant at Risk Pilot AB and Adjunct Professor of Probabilistic Riskand Safety Analysis at the Royal Institute of Technology. Dr. Holmberg received his PhD in Applied Mathematics from Helsinki University of Technology in 1997.</p> <p><b>CARL ROLLENHAGEN, PhD, </b>is Adjunct Professor of Risk and Safety at the Royal Institute of Technology. Dr. Rollenhagen has performed extensive research in the field of human factors and MTO (Man, Technology, and Organization) with a specific emphasis on safety culture and climate, event investigation methods, and organizational safety assessment.</p>
<p><b>Preface xxv</b></p> <p><b>List of Contributors xxvii</b></p> <p><b>1 Introduction 1<br /> </b><i>Niklas M</i><i>öller, Sven Ove Hansson, Jan-Erik Holmberg, and Carl Rollenhagen</i></p> <p>1.1 Competition, Overlap, and Conflicts 1</p> <p>1.2 A New Level in the Study of Safety Principles 2</p> <p>1.3 Metaprinciples of Safety 3</p> <p>1.4 Other Ways to Characterize Safety Principles 5</p> <p>1.5 Conflicts Between Safety Principles 7</p> <p>1.6 When Can Safety Principles Be Broken? 8</p> <p>1.7 Safety in Context 9</p> <p>References 10</p> <p><b>2 Preview 11<br /> </b><i>Niklas Möller, Sven Ove Hansson, Jan-Erik Holmberg, and Carl Rollenhagen</i></p> <p>2.1 Part I: Safety Reserves 12</p> <p>2.2 Part II: Information and Control 13</p> <p>2.3 Part III: Demonstrability 16</p> <p>2.4 Part IV: Optimization 17</p> <p>2.5 Part V: Organizational Principles and Practices 20</p> <p><b>Part I Safety Reserves 23</b></p> <p><b>3 Resilience Engineering and the Future of Safety Management 25<br /> </b><i>Erik Hollnagel</i></p> <p>3.1 On the Origins of Resilience 25</p> <p>3.2 The Resilience Engineering Understanding of “Resilience” 27</p> <p>3.3 The Four Potentials for Resilience Performance 29</p> <p>3.4 Safety Management Systems 31</p> <p>3.5 Developing Definitions of Resilience 33</p> <p>3.6 Managing the Potentials for Resilient Performance 34</p> <p>3.7 Resilience Management: LP-HI OR HP-LI? 37</p> <p>References 39</p> <p><b>4 Defense-In-Depth 42<br /> </b><i>Jan-Erik Holmberg</i></p> <p>4.1 Introduction 42</p> <p>4.2 Underlying Theory and Theoretical Assumptions 43</p> <p>4.3 Redundancy, Diversity, and Separation Principles 44</p> <p>4.4 Use and Implementation 53</p> <p>4.5 Empirical Research on use and Efficiency 57</p> <p>4.6 Weaknesses, Limitations, and Criticism 57</p> <p>4.7 Relations to Other Safety Principles 59</p> <p>References 60</p> <p>Further Reading 61</p> <p><b>5 Safety Barriers 63<br /> </b><i>Lars Harms-Ringdahl and Carl Rollenhagen</i></p> <p>5.1 Introduction 63</p> <p>5.2 Origin and Theoretical Background 65</p> <p>5.3 Definitions and Terminology 67</p> <p>5.4 Classification of Barriers 71</p> <p>5.5 Methods for Analysis of Safety Barriers 75</p> <p>5.6 Quality and Efficiency of Barriers 79</p> <p>5.7 Discussion and Conclusions 82</p> <p>References 84</p> <p><b>6 Factors and Margins of Safety 87<br /> </b><i>Neelke Doorn and Sven Ove Hansson</i></p> <p>6.1 Introduction 87</p> <p>6.2 Origin and History 91</p> <p>6.3 Definitions and Terminology 92</p> <p>6.4 Underlying Theory and Theoretical Assumptions 94</p> <p>6.5 Use and Implementation 98</p> <p>6.6 Empirical Research on Use and Efficiency 101</p> <p>6.7 Weaknesses, Limitations, and Criticism 103</p> <p>6.8 Relations to Other Safety Principles 105</p> <p>Acknowledgment 108</p> <p>References 108</p> <p>Further Reading 114</p> <p><b>Part II Information and Control 115</b></p> <p><b>7 Experience Feedback 117<br /> </b><i>Urban Kjell</i><i>én</i></p> <p>7.1 Introduction 117</p> <p>7.2 Origin and History 118</p> <p>7.3 Definitions 121</p> <p>7.4 Underlying Theories and Assumptions 122</p> <p>7.5 Use and Implementation 127</p> <p>7.6 Empirical Research on Use and Efficiency 135</p> <p>7.7 Relations to Other Safety Principles 137</p> <p>References 138</p> <p>Further Reading 141</p> <p><b>8 Risk and Safety Indicators 142<br /> </b><i>Drew Rae</i></p> <p>8.1 Introduction 142</p> <p>8.2 Origin and History 143</p> <p>8.3 Definitions and Terminology 145</p> <p>8.4 Underlying Theory and Theoretical Assumptions 146</p> <p>8.5 Use and Implementation 152</p> <p>8.6 Empirical Research on Use and Efficacy 154</p> <p>8.7 Weaknesses, Limitations, and Criticism 155</p> <p>8.8 Relations to Other Safety Principles 158</p> <p>References 159</p> <p><b>9 Principles of Human Factors Engineering 164<br /> </b><i>Leena Norros and Paula Savioja</i></p> <p>9.1 Introduction 164</p> <p>9.2 Principle 1: HFE is Design Thinking 167</p> <p>9.3 Principle 2: HFE Studies Human as a Manifold Entity 172</p> <p>9.4 Principle 3: HFE Focuses on Technology in Use 177</p> <p>9.5 Principle 4: Safety is Achieved Through Continuous HFE 182</p> <p>9.6 Relation to Other Safety Principles 187</p> <p>9.7 Limitations 188</p> <p>9.8 Conclusions 189</p> <p>References 190</p> <p>Further Reading 195</p> <p><b>10 Safety Automation 196<br /> </b><i>Björn Wahlström</i></p> <p>10.1 Introduction 196</p> <p>10.2 Origin and History 201</p> <p>10.3 Definitions and Terminology 205</p> <p>10.4 Underlying Theories and Assumptions 211</p> <p>10.5 Use and Implementation 215</p> <p>10.6 Research on Use and Efficiency 220</p> <p>10.7 Weaknesses, Limitations, and Criticism 222</p> <p>10.8 Relations to Other Safety Principles 225</p> <p>10.9 Summary and Conclusions 228</p> <p>References 229</p> <p><b>11 Risk Communication 235<br /> </b><i>Jan M. Gutteling</i></p> <p>11.1 Introduction 235</p> <p>11.2 The Origin and History of Risk Communication as Academic Field 238</p> <p>11.3 Underlying Assumptions, Concepts and Empirical Data on Risk Communication Models 241</p> <p>11.4 Weaknesses, Limitations, and Criticism 250</p> <p>11.5 Final Word 252</p> <p>References 252</p> <p>Further Reading 257</p> <p><b>12 The Precautionary Principle 258<br /> </b><i>Sven Ove Hansson</i></p> <p>12.1 Introduction 258</p> <p>12.2 History and Current Use 259</p> <p>12.3 Definitions 263</p> <p>12.4 Underlying Theory 267</p> <p>12.5 Research on Use and Efficiency 271</p> <p>12.6 Weaknesses, Limitations, and Criticism 271</p> <p>12.7 Relation to Expected Utility and Probabilistic Risk Assessment 273</p> <p>12.8 Relations to Other Safety Principles 276</p> <p>Acknowledgment 279</p> <p>References 279</p> <p>Further Reading 283</p> <p><b>13 Operating Procedure 284<br /> </b><i>Jinkyun Park</i></p> <p>13.1 Introduction 284</p> <p>13.2 Manual, Guideline, and Procedure 286</p> <p>13.3 Existing Principles for Developing a Good Procedure 288</p> <p>13.4 Additional Principle to Develop a Good Procedure 292</p> <p>13.5 Concluding Remarks 299</p> <p>References 301</p> <p>Further Reading 304</p> <p><b>14 Human</b>-<b>Machine System 305<br /> </b><i>Anna-Lisa Osvalder and H</i><i>åkan Alm</i></p> <p>14.1 Human–Machine System 306</p> <p>14.2 Complex Systems 307</p> <p>14.3 To Control a Complex System 307</p> <p>14.4 Operator Demands 308</p> <p>14.5 Performance-Shaping Factors 313</p> <p>14.6 User Interface Design 315</p> <p>14.7 Demands on the Environment 322</p> <p>14.8 Handling Complexity 327</p> <p>References 329</p> <p><b>Part III Demonstrability 331</b></p> <p><b>15 Quality Principles and Their Applications To Safety 333<br /> </b><i>Bo Bergman</i></p> <p>15.1 Introduction 333</p> <p>15.2 Improvement Knowledge and its Application to Safety 338</p> <p>15.3 Health-Care Improvement and Patient Safety 349</p> <p>15.4 Weaknesses, Limitations, and Criticism 351</p> <p>15.5 Some Personal Experiences 352</p> <p>15.6 Relations to Other Safety Principles 353</p> <p>References 355</p> <p>Further Reading 360</p> <p><b>16 Safety Cases 361<br /> </b><i>Tim Kelly</i></p> <p>16.1 Introduction 361</p> <p>16.2 Origins and History 361</p> <p>16.3 Definitions and Terminology 364</p> <p>16.4 Underlying Theory 367</p> <p>16.5 Empirical Research on Use and Efficiency 377</p> <p>16.6 Weaknesses, Limitations, and Criticisms 377</p> <p>16.7 Relationship to Other Principles 382</p> <p>References 383</p> <p>Further Reading 385</p> <p><b>17 Inherently Safe Design 386<br /> </b><i>Rajagopalan Srinivasan and Mohd Umair Iqbal</i></p> <p>17.1 Introduction 386</p> <p>17.2 Origin and History of the Principle 387</p> <p>17.3 Definitions and Terminology 388</p> <p>17.4 Use and Implementation 389</p> <p>17.5 Empirical Research on Use and Efficiency 392</p> <p>17.6 Weaknesses, Limitation, and Criticism 393</p> <p>17.7 Relation to Other Principles 394</p> <p>References 394</p> <p><b>18 Maintenance, Maintainability, and Inspectability 397<br /> </b><i>Torbjörn Ylip</i><i>ää, Anders Skoogh, and Jon Bokrantz</i></p> <p>18.1 Introduction 397</p> <p>18.2 Origin and History 399</p> <p>18.3 Underlying Theory, Theoretical Assumptions, Definition, and Terminology 400</p> <p>18.4 Use and Implementation 405</p> <p>18.5 Empirical Research on Use and Efficiency 408</p> <p>18.6 Weaknesses, Limitations, and Criticism 409</p> <p>18.7 Relations to Other Safety Principles 410</p> <p>References 410</p> <p>Further Reading 413</p> <p><b>Part IV Optimization 415</b></p> <p><b>19 On the Risk-Informed Regulation for the Safety Against External Hazards 417<br /> </b><i>Pieter van Gelder</i></p> <p>19.1 Introduction 417</p> <p>19.2 Risk-Regulation in Safety Against Environmental Risks 421</p> <p>19.3 Dealing with Uncertainties in Risk-Informed Regulation 422</p> <p>19.4 Limitations of the Current Risk Measures 424</p> <p>19.5 Spatial Risk 426</p> <p>19.6 Temporal Risk 429</p> <p>19.7 Conclusions and Recommendations 431</p> <p>Acknowledgment 432</p> <p>References 432</p> <p><b>20 Quantitative Risk Analysis 434<br /> </b><i>Jan-Erik Holmberg</i></p> <p>20.1 Introduction 434</p> <p>20.2 Origin and History 435</p> <p>20.3 Underlying Theory and Theoretical Assumptions 438</p> <p>20.4 Use and Implementation 449</p> <p>20.5 Empirical Research on Use and Efficiency 456</p> <p>20.6 Weaknesses, Limitations, and Criticism 456</p> <p>20.7 Relations to Other Safety Principles 458</p> <p>References 458</p> <p>Further Reading 460</p> <p><b>21 Qualitative Risk Analysis 463<br /> </b><i>Risto Tiusanen</i></p> <p>21.1 Introduction 463</p> <p>21.2 Origin and History of the Principle 464</p> <p>21.3 Definitions 465</p> <p>21.4 Underlying Theory and Theoretical Assumptions 466</p> <p>21.5 Use and Implementation 471</p> <p>21.6 Strengths, Weaknesses, Limitations and Criticism 480</p> <p>21.7 Experiences of Preliminary Hazard Identification Methods 482</p> <p>21.8 Experiences of Hazop Studies 482</p> <p>21.9 Experiences of Risk Estimation Methods 483</p> <p>21.10 Summary of Strengths and Limitations 484</p> <p>21.11 Experiences from Complex Machinery Applications 484</p> <p>21.12 Relations to Other Safety Principles 491</p> <p>References 491</p> <p><b>22 Principles and Limitations of Cost</b>–<b>Benefit Analysis for Safety Investments 493<br /> </b><i>Genserik Reniers and Luca Talarico</i></p> <p>22.1 Introduction 493</p> <p>22.2 Principles of Cost–Benefit Analysis 495</p> <p>22.3 CBA Methodologies 497</p> <p>22.4 Conclusions 511</p> <p>References 512</p> <p><b>23 Rams Optimization Principles 514<br /> </b><i>Yan-Fu Li and Enrico Zio</i></p> <p>List of Acronyms 514</p> <p>23.1 Introduction to Reliability, Availability, Maintainability, and Safety (RAMS) Optimization 515</p> <p>23.2 Multi-Objective Optimization 516</p> <p>23.3 Solution Methods 519</p> <p>23.4 Performance Measures 523</p> <p>23.5 Selection of Preferred Solutions 524</p> <p>23.6 Guidelines for Implementation and Use 525</p> <p>23.7 Numerical Case Study 527</p> <p>23.8 Discussion 536</p> <p>23.9 Relations to Other Principles 536</p> <p>References 537</p> <p>Further Reading 539</p> <p><b>24 Maintenance Optimization and Its Relation to Safety 540<br /> </b><i>Roger Flage</i></p> <p>24.1 Introduction 540</p> <p>24.2 Related Principles and Terms 541</p> <p>24.3 Maintenance Optimization 547</p> <p>24.4 Discussion and Conclusions 556</p> <p>Further Reading 559</p> <p>References 561</p> <p><b>25 Human Reliability Analysis 565<br /> </b><i>Luca Podofillini</i></p> <p>25.1 Introduction with Examples 565</p> <p>25.2 Origin and History of the Principle 569</p> <p>25.3 Underlying Theory and Theoretical Assumptions 572</p> <p>25.4 Use and Implementation 576</p> <p>25.5 Empirical Research on Use and Efficiency 578</p> <p>25.6 Weaknesses, Limitations, and Criticism 583</p> <p>25.7 Relationship with Other Principles 585</p> <p>References 586</p> <p><b>26 Alara, Bat, and the Substitution Principle 593<br /> </b><i>Sven Ove Hansson</i></p> <p>26.1 Introduction 593</p> <p>26.2 Alara 594</p> <p>26.3 Best Available Technology 601</p> <p>26.4 The Substitution Principle 606</p> <p>26.5 Comparative Discussion 615</p> <p>Acknowledgment 618</p> <p>References 618</p> <p>Further Reading 624</p> <p><b>Part V Organizational Principles and Practices 625</b></p> <p><b>27 Safety Management Principles 627<br /> </b><i>Gudela Grote</i></p> <p>27.1 Introduction 627</p> <p>27.2 Origin and History of the Principle 629</p> <p>27.3 Definitions 629</p> <p>27.4 Underlying Theory and Theoretical Assumptions 630</p> <p>27.5 Use and Implementation 633</p> <p>27.6 Empirical Research on Use and Efficiency 634</p> <p>27.7 Weaknesses, Limitations, and Criticism 640</p> <p>27.8 Relations to Other Safety Principles 642</p> <p>References 642</p> <p>Further Reading 646</p> <p><b>28 Safety Culture 647<br /> </b><i>Teemu Reiman and Carl Rollenhagen</i></p> <p>28.1 Introduction 647</p> <p>28.2 Origin and History 652</p> <p>28.3 Definitions and Terminology 656</p> <p>28.4 Underlying Theory and Theoretical Assumptions 658</p> <p>28.5 Empirical Research 662</p> <p>28.6 Use and Implementation 663</p> <p>28.7 Weaknesses and Critique 667</p> <p>28.8 Main Messages and What the Concept Tells About Safety 670</p> <p>References 671</p> <p><b>29 Principles of Behavior-Based Safety 677<br /> </b><i>Steve Roberts and E. Scott Geller</i></p> <p>29.1 Introduction 677</p> <p>29.2 Origin and History of BBS 678</p> <p>29.3 Leadership 680</p> <p>29.4 Physical Environment/Conditions 683</p> <p>29.5 Systems 683</p> <p>29.6 Behaviors 689</p> <p>29.7 Employee Involvement and Ownership 695</p> <p>29.8 Person States 699</p> <p>29.9 The Benefits of Behavior-Based Safety 701</p> <p>29.10 Weaknesses, Limitations, and Criticisms 703</p> <p>29.11 Relationship with Other Principles 705</p> <p>References 707</p> <p>Further Reading 710</p> <p><b>30 Principles of Emergency Plans and Crisis Management 711<br /> </b><i>Ann Enander</i></p> <p>30.1 Introduction 711</p> <p>30.2 Origin and History 716</p> <p>30.3 Definitions and Terminology 717</p> <p>30.4 Underlying Theory and Theoretical Assumptions 720</p> <p>30.5 Use and Implementation 721</p> <p>30.6 Empirical Research on Use and Efficiency 722</p> <p>30.7 Weaknesses, Limitations, and Criticism 723</p> <p>30.8 Relations to Other Safety Principles 725</p> <p>References 726</p> <p>Further Reading 731</p> <p><b>31 Safety Standards: Chronic Challenges and Emerging Principles 732<br /> </b><i>Ibrahim Habli</i></p> <p>31.1 Introduction 732</p> <p>31.2 Definitions and Terminology 734</p> <p>31.3 Organization of Safety Standards 734</p> <p>31.4 Domain Specific Principles 736</p> <p>31.5 Development of Standards 742</p> <p>31.6 Rationale in Standards 743</p> <p>31.7 Chapter Summary 744</p> <p>References 744</p> <p>Further Reading 746</p> <p><b>32 Managing the Unexpected 747<br /> </b><i>Jean-Christophe Le Coze</i></p> <p>32.1 Introduction 747</p> <p>32.2 Defining the Unexpected 750</p> <p>32.3 Thirty Years of Research on the Unexpected 754</p> <p>32.4 Managing the Unexpected 766</p> <p>32.5 Relation to Other Principles: Further Reading 771</p> <p>32.6 Conclusion 772</p> <p>References 772</p> <p>Index 777</p>
<p><b> NIKLAS MÖLLER, PhD,</b> is Associate Professor at the Royal Institute of Technology in Sweden. The author of approximately 20 international journal articles, Dr. Möller's research interests include the philosophy of risk, metaethics, philosophy of science, and epistemology. <p><b> SVEN OVE HANSSON, PhD,</b> is Professor of Philosophy at the Royal Institute of Technology. He has authored over 300 articles in international journals and is a member of the Royal Swedish Academy of Engineering Sciences. Dr. Hansson is also a Topical Editor for the <i>Wiley Encyclopedia of Operations Research and Management Science. </i> <p><b> JAN-ERIK HOLMBERG, PhD,</b> is Senior Consultant at Risk Pilot AB and Adjunct Professor of Probabilistic Risk and Safety Analysis at the Royal Institute of Technology. Dr. Holmberg received his PhD in Applied Mathematics from Helsinki University of Technology in 1997. <p><b> CARL ROLLENHAGEN, PhD,</b> is Adjunct Professor of Risk and Safety at the Royal Institute of Technology. Dr. Rollenhagen has performed extensive research in the field of human factors and MTO (Man, Technology, and Organization) with a specific emphasis on safety culture and climate, event investigation methods, and organizational safety assessment.
<p><b> Presents recent breakthroughs in the theory, methods, and applications of safety and risk analysis for safety engineers, risk analysts, and policy makers </b> <p> Safety principles are paramount to addressing structured handling of safety concerns in all technological systems. This handbook captures and discusses the multitude of safety principles in a practical and applicable manner. It is organized by five overarching categories of safety principles: Safety Reserves; Information and Control; Demonstrability; Optimization; and Organizational Principles and Practices. With a focus on the structured treatment of a large number of safety principles relevant to all related fields, each chapter defines the principle in question and discusses its application as well as how it relates to other principles and terms. This treatment includes the history, the underlying theory, and the limitations and criticism of the principle. Several chapters also problematize and critically discuss the very concept of a safety principle. The book treats issues such as: What are safety principles and what roles do they have? What kinds of safety principles are there? When, if ever, should rules and principles be disobeyed? How do safety principles relate to the law; what is the status of principles in different domains? The book also features: <ul> <li>Insights from leading international experts on safety and reliability</li> <li>Real-world applications and case studies including systems usability, verification and validation, human reliability, and safety barriers</li> <li>Different taxonomies for how safety principles are categorized</li> <li>Breakthroughs in safety and risk science that can significantly change, improve, and inform important practical decisions</li> <li>A structured treatment of safety principles relevant to numerous disciplines and application areas in industry and other sectors of society</li> <li>Comprehensive and practical coverage of the multitude of safety principles including maintenance optimization, substitution, safety automation, risk communication, precautionary approaches, non-quantitative safety analysis, safety culture, and many others</li> </ul> <br> <p> The <i>Handbook of Safety Principles</i> is an ideal reference and resource for professionals engaged in risk and safety analysis and research. This book is also appropriate as a graduate and PhD-level textbook for courses in risk and safety analysis, reliability, safety engineering, and risk management offered within mathematics, operations research, and engineering departments.

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