Preface |
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xv | |
Acknowledgments |
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xix | |
Authors |
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xxi | |
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1 Engineering Risk Management |
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1 | (14) |
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1 | (5) |
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1.1.1 Boston's Central Artery/Tunnel Project |
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2 | (4) |
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1.2 Objectives and Practices |
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6 | (6) |
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12 | (3) |
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13 | (2) |
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2 Perspectives on Theories of Systems and Risk |
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15 | (26) |
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15 | (1) |
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2.2 General Systems Theory |
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15 | (9) |
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2.2.1 Complex Systems, Systems-of-Systems, and Enterprise Systems |
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20 | (4) |
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2.3 Risk and Decision Theory |
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24 | (12) |
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2.4 Engineering Risk Management |
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36 | (5) |
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39 | (2) |
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3 Foundations of Risk and Decision Theory |
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41 | (84) |
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41 | (1) |
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3.2 Elements of Probability Theory |
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41 | (22) |
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63 | (18) |
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3.4 Risk and Utility Functions |
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81 | (16) |
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81 | (4) |
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85 | (12) |
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3.5 Multiattribute Utility---The Power Additive Utility Function |
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97 | (4) |
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3.5.1 The Power-Additive Utility Function |
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97 | (1) |
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3.5.2 Applying the Power-Additive Utility Function |
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98 | (3) |
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3.6 Applications to Engineering Risk Management |
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101 | (24) |
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3.6.1 Value Theory to Measure Risk |
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102 | (12) |
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3.6.2 Utility Theory to Compare Designs |
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114 | (5) |
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119 | (6) |
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4 A Risk Analysis Framework in Engineering Enterprise Systems |
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125 | (32) |
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125 | (1) |
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4.2 Perspectives on Engineering Enterprise Systems |
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125 | (4) |
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4.3 A Framework for Measuring Enterprise Capability Risk |
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129 | (4) |
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4.4 A Risk Analysis Algebra |
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133 | (16) |
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4.5 Information Needs for Portfolio Risk Analysis |
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149 | (1) |
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150 | (7) |
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151 | (6) |
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5 An Index to Measure Risk Corelationships |
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157 | (20) |
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157 | (1) |
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5.2 RCR Postulates, Definitions, and Theory |
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158 | (6) |
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5.3 Computing the RCR Index |
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164 | (7) |
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5.4 Applying the RCR Index: A Resource Allocation Example |
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171 | (3) |
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174 | (3) |
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174 | (3) |
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6 Functional Dependency Network Analysis |
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177 | (80) |
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177 | (1) |
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178 | (8) |
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6.3 Weakest Link Formulations |
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186 | (5) |
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6.4 FDNA (α, β) Weakest Link Rule |
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191 | (24) |
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6.5 Network Operability and Tolerance Analyses |
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215 | (22) |
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6.5.1 Critical Node Analysis and Degradation Index |
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222 | (5) |
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6.5.2 Degradation Tolerance Level |
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227 | (10) |
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237 | (10) |
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6.6.1 Operability Function Regulation |
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237 | (2) |
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239 | (6) |
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6.6.3 Addressing Cycle Dependencies |
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245 | (2) |
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247 | (10) |
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249 | (8) |
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7 A Decision-Theoretic Algorithm for Ranking Risk Criticality |
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257 | (14) |
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257 | (1) |
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7.2 A Prioritization Algorithm |
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257 | (14) |
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7.2.1 Linear Additive Model |
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258 | (1) |
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259 | (3) |
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262 | (3) |
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265 | (4) |
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269 | (2) |
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8 A Model for Measuring Risk in Engineering Enterprise Systems |
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271 | (10) |
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8.1 A Unifying Risk Analytic Framework and Process |
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271 | (8) |
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8.1.1 A Traditional Process with Nontraditional Methods |
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271 | (1) |
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8.1.2 A Model Formulation for Measuring Risk in Engineering Enterprise Systems |
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272 | (7) |
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279 | (2) |
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279 | (2) |
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9 Random Processes and Queuing Theory |
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281 | (42) |
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281 | (1) |
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9.2 Deterministic Process |
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282 | (2) |
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9.2.1 Mathematical Determinism |
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283 | (1) |
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9.2.2 Philosophical Determinism |
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284 | (1) |
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284 | (14) |
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9.3.1 Concept of Uncertainty |
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286 | (1) |
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9.3.2 Uncertainty, Randomness, and Probability |
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287 | (2) |
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9.3.3 Causality and Uncertainty |
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289 | (2) |
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9.3.4 Necessary and Sufficient Causes |
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291 | (1) |
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9.3.5 Causalities and Risk Scenario Identification |
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291 | (2) |
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9.3.6 Probabilistic Causation |
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293 | (5) |
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298 | (2) |
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9.4.1 Birth and Death Process |
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300 | (1) |
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300 | (4) |
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9.5.1 Characteristic of Queuing Systems |
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302 | (1) |
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9.5.2 Poisson Process and Distribution |
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303 | (1) |
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9.5.3 Exponential Distribution |
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304 | (1) |
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304 | (6) |
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9.6.1 Single-Server Model |
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304 | (2) |
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9.6.2 Probability of an Empty Queuing System |
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306 | (1) |
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9.6.3 Probability That There Are Exactly N Entities Inside the Queuing System |
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307 | (1) |
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9.6.4 Mean Number of Entities in the Queuing System |
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308 | (1) |
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9.6.5 Mean Number of Waiting Entities |
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308 | (1) |
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9.6.6 Average Latency Time of Entities |
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308 | (1) |
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9.6.7 Average Time of an Entity Waiting to Be Served |
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309 | (1) |
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9.7 Applications to Engineering Systems |
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310 | (5) |
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315 | (8) |
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316 | (7) |
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323 | (34) |
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10.1 Introduction to Extreme and Rare Events |
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323 | (1) |
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10.2 Extreme and Rare Events and Engineering Systems |
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324 | (1) |
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10.3 Traditional Data Analysis |
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325 | (2) |
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10.4 Extreme Value Analysis |
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327 | (2) |
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10.5 Extreme Event Probability Distributions |
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329 | (5) |
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10.5.1 Independent Single-Order Statistic |
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331 | (3) |
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334 | (2) |
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10.7 Determining Domain of Attraction Using Inverse Function |
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336 | (5) |
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10.8 Determining Domain of Attraction Using Graphical Method |
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341 | (6) |
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10.8.1 Steps in Visual Analysis of Empirical Data |
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341 | (4) |
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10.8.2 Estimating Parameters of GEVD |
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345 | (2) |
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10.9 Complex Systems and Extreme and Rare Events |
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347 | (4) |
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10.9.1 Extreme and Rare Events in a Complex System |
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348 | (1) |
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10.9.2 Complexity and Causality |
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349 | (1) |
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10.9.3 Complexity and Correlation |
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349 | (1) |
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10.9.4 Final Words on Causation |
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350 | (1) |
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351 | (6) |
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351 | (6) |
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11 Prioritization Systems in Highly Networked Environments |
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357 | (22) |
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357 | (1) |
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357 | (6) |
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358 | (5) |
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11.3 Types of Priority Systems |
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363 | (12) |
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11.3.1 Static Priority Systems |
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363 | (2) |
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11.3.2 Dynamic Priority Systems |
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365 | (1) |
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11.3.3 State-Dependent DPS |
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365 | (6) |
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11.3.4 Time-Dependent DPS |
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371 | (4) |
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375 | (4) |
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375 | (1) |
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376 | (3) |
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12 Risks of Extreme Events in Complex Queuing Systems |
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379 | (36) |
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379 | (1) |
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12.2 Risk of Extreme Latency |
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379 | (7) |
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12.2.1 Methodology for Measurement of Risk |
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381 | (5) |
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12.3 Conditions for Unbounded Latency |
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386 | (3) |
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388 | (1) |
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12.4 Conditions for Bounded Latency |
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389 | (6) |
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12.4.1 Bounded Latency Times in Saturated Static PS |
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389 | (3) |
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12.4.2 Bounded Latency Times in a Saturated SDPS |
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392 | (2) |
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12.4.3 Combinations of Gumbel Types |
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394 | (1) |
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12.5 Derived Performance Measures |
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395 | (8) |
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12.5.1 Tolerance Level for Risk |
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395 | (2) |
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397 | (1) |
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398 | (2) |
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12.5.4 Differentiation Tolerance Level |
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400 | (1) |
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401 | (2) |
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403 | (7) |
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12.6.1 Cost Function Minimization |
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404 | (1) |
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12.6.2 Bounds on Waiting Line |
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404 | (2) |
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12.6.3 Pessimistic and Optimistic Decisions in Extremes |
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406 | (4) |
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410 | (5) |
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411 | (4) |
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Appendix Bernoulli Utility and the St. Petersburg Paradox |
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415 | (6) |
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A.1.1 The St. Petersburg Paradox |
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415 | (2) |
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A.1.2 Use Expected Utility, Not Expected Value |
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417 | (4) |
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419 | (2) |
References |
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421 | (8) |
Index |
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429 | |