{"product_id":"optimal-resource-allocation-9781118389973","title":"Optimal Resource Allocation","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eA UNIQUE ENGINEERING AND STATISTICAL APPROACH TO OPTIMAL RESOURCE ALLOCATION\u003c\/b\u003e \u003cp\u003e\u003ci\u003eOptimal Resource Allocation: With Practical Statistical Applications and Theory \u003c\/i\u003efeatures the application of probabilistic and statistical methods used in reliability engineering during the different phases of life cycles of technical systems.\u003c\/p\u003e \u003cp\u003eBridging the gap between reliability engineering and applied mathematics, the book outlines different approaches to optimal resource allocation and various applications of models and algorithms for solving real-world problems. In addition, the fundamental background on optimization theory and various illustrative numerical examples are provided. The book also features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eAn overview of various approaches to optimal resource allocation, from classical Lagrange methods to modern algorithms based on ideas of evolution in biology\u003c\/li\u003e \u003cli\u003eNumerous exercises and case studies from a variety of areas, including communications, transportation, e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003ePreface xi\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1 \u003cb\u003eBASIC MATHEMATICAL REDUNDANCY MODELS 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Types of Models 2\u003c\/p\u003e \u003cp\u003e1.2 Non-repairable Redundant Group with Active Redundant Units 3\u003c\/p\u003e \u003cp\u003e1.3 Non-repairable Redundant Group with Standby Redundant Units 7\u003c\/p\u003e \u003cp\u003e1.4 Repairable Redundant Group with Active Redundant Units 10\u003c\/p\u003e \u003cp\u003e1.5 Repairable Redundant Group with Standby Redundant Units 13\u003c\/p\u003e \u003cp\u003e1.6 Multi-level Systems and System Performance Estimation 15\u003c\/p\u003e \u003cp\u003e1.7 Brief Review of Other Types of Redundancy 16\u003c\/p\u003e \u003cp\u003e1.8 Time Redundancy 24\u003c\/p\u003e \u003cp\u003e1.9 Some Additional Optimization Problems 27\u003c\/p\u003e \u003cp\u003eChronological Bibliography of Main Monographs on Reliability Theory (with topics on Optimization) 30\u003c\/p\u003e \u003cp\u003e2 \u003cb\u003eFORMULATION OF OPTIMAL REDUNDANCY PROBLEMS 33\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Problem Description 33\u003c\/p\u003e \u003cp\u003e2.2 Formulation of the Optimal Redundancy Problem with a Single Restriction 35\u003c\/p\u003e \u003cp\u003e2.3 Formulation of Optimal Redundancy Problems with Multiple Constraints 39\u003c\/p\u003e \u003cp\u003e2.4 Formulation of Multi-Criteria Optimal Redundancy Problems 43\u003c\/p\u003e \u003cp\u003eChronological Bibliography 45\u003c\/p\u003e \u003cp\u003e3 \u003cb\u003eMETHOD OF LAGRANGE MULTIPLIERS 48\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChronological Bibliography 55\u003c\/p\u003e \u003cp\u003e4 \u003cb\u003eSTEEPEST DESCENT METHOD 56\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 The Main Idea of SDM 56\u003c\/p\u003e \u003cp\u003e4.2 Description of the Algorithm 57\u003c\/p\u003e \u003cp\u003e4.3 The Stopping Rule 60\u003c\/p\u003e \u003cp\u003e4.5 Approximate Solution 66\u003c\/p\u003e \u003cp\u003eChronological Bibliography 68\u003c\/p\u003e \u003cp\u003e5 \u003cb\u003eDYNAMIC PROGRAMMING 69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Bellman’s Algorithm 69\u003c\/p\u003e \u003cp\u003e5.2 Kettelle’s Algorithm 73\u003c\/p\u003e \u003cp\u003eChronological Bibliography 84\u003c\/p\u003e \u003cp\u003e6 \u003cb\u003eUNIVERSAL GENERATING FUNCTIONS 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Generating Function 85\u003c\/p\u003e \u003cp\u003e6.2 Universal GF (U-function) 87\u003c\/p\u003e \u003cp\u003eChronological Bibliography 94\u003c\/p\u003e \u003cp\u003e7 \u003cb\u003eGENETIC ALGORITHMS 96\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 96\u003c\/p\u003e \u003cp\u003e7.2 Structure of Steady-State Genetic Algorithms 100\u003c\/p\u003e \u003cp\u003e7.3 Related Techniques 102\u003c\/p\u003e \u003cp\u003eChronological Bibliography 104\u003c\/p\u003e \u003cp\u003e8 \u003cb\u003eMONTE CARLO SIMULATION 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introductory Remarks 107\u003c\/p\u003e \u003cp\u003e8.2 Formulation of Optimal Redundancy Problems in Statistical Terms 108\u003c\/p\u003e \u003cp\u003e8.3 Algorithm for Trajectory Generation 108\u003c\/p\u003e \u003cp\u003e8.4 Description of the Idea of the Solution 111\u003c\/p\u003e \u003cp\u003e8.5 Inverse Optimization Problem 114\u003c\/p\u003e \u003cp\u003e8.6 Direct Optimization Problem 124\u003c\/p\u003e \u003cp\u003eChronological Bibliography 129\u003c\/p\u003e \u003cp\u003e9 \u003cb\u003eCOMMENTS ON CALCULATION METHODS 130\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Comparison of Methods 130\u003c\/p\u003e \u003cp\u003e9.2 Sensitivity Analysis of Optimal Redundancy Solutions 135\u003c\/p\u003e \u003cp\u003e10 \u003cb\u003eOPTIMAL REDUNDANCY WITH SEVERAL LIMITING FACTORS 142\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Method of “Weighing Costs” 142\u003c\/p\u003e \u003cp\u003e10.2 Method of Generalized Generating Functions 146\u003c\/p\u003e \u003cp\u003eChronological Bibliography 149\u003c\/p\u003e \u003cp\u003e11 \u003cb\u003eOPTIMAL REDUNDANCY IN MULTISTATE SYSTEMS 150\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChronological Bibliography 170\u003c\/p\u003e \u003cp\u003e12 \u003cb\u003eCASE STUDIES 172\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Spare Supply System for Worldwide Telecommunication System Globalstar 172\u003c\/p\u003e \u003cp\u003e12.2 Optimal Capacity Distribution of Telecommunication Backbone Network Resources 179\u003c\/p\u003e \u003cp\u003e12.3 Optimal Spare Allocation for Mobile Repair Station 183\u003c\/p\u003e \u003cp\u003eChronological Bibliography 190\u003c\/p\u003e \u003cp\u003e13 \u003cb\u003eCOUNTER-TERRORISM: PROTECTION RESOURCES ALLOCATION 191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 191\u003c\/p\u003e \u003cp\u003e13.2 Written Description of the Problem 192\u003c\/p\u003e \u003cp\u003e13.3 Evaluation of Expected Loss 195\u003c\/p\u003e \u003cp\u003e13.4 Algorithm of Resource Allocation 197\u003c\/p\u003e \u003cp\u003e13.5 Branching System Protection 201\u003c\/p\u003e \u003cp\u003e13.6 Fictional Case Study 210\u003c\/p\u003e \u003cp\u003e13.7 Measures of Defense, Their Effectiveness, and Related Expenses 217\u003c\/p\u003e \u003cp\u003e13.8 Antiterrorism Resource Allocation under Fuzzy Subjective Estimates 223\u003c\/p\u003e \u003cp\u003e13.9 Conclusion 232\u003c\/p\u003e \u003cp\u003eChronological Bibliography 232\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAbout the author 235\u003c\/b\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49528827806039,"sku":"9781118389973","price":83.55,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118389973.jpg?v=1731873176","url":"https:\/\/bookcurl.com\/products\/optimal-resource-allocation-9781118389973","provider":"Book Curl","version":"1.0","type":"link"}