{"product_id":"optimal-resource-allocation-isbn-9781118389973","title":"Optimal Resource Allocation","description":"\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, energy transmission, and counterterrorism protection\u003c\/li\u003e \u003cli\u003eThe applied methods of optimization with various methods of optimal redundancy problem solutions as well as the numerical examples and statistical methods needed to solve the problems\u003c\/li\u003e \u003cli\u003ePractical thoughts, opinions, and judgments on real-world applications of reliability theory and solves practical problems using mathematical models and algorithms\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eOptimal Resource Allocation \u003c\/i\u003eis a must-have guide for electrical, mechanical, and reliability engineers dealing with engineering design and optimal reliability problems. In addition, the book is excellent for graduate and PhD-level courses in reliability theory and optimization.\u003c\/p\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  \u003cp\u003e\u003cb\u003eIGOR USHAKOV, DrSci,\u003c\/b\u003e was previously a professor at both The George Washington University and the University of California, San Diego; chair of the Department of Large Scale Systems at the Moscow Institute of Physics and Technology; and a principal engineer at Qualcomm. In addition, he is founder of the International Group on Reliability's Gnedenko Forum and has authored or edited dozens of books and published more than 300 journal papers on reliability engineering, logistics, and quality assurance.\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eA unique engineering and statistical approach to optimal resource allocation\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eOptimal Resource Allocation: With Practical Statistical Applications and Theory\u003c\/i\u003e features 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, energy transmission, and counterterrorism protection\u003c\/li\u003e \u003cli\u003eThe applied methods of optimization with various methods of optimal redundancy problem solutions as well as the numerical examples and statistical methods needed to solve the problems\u003c\/li\u003e \u003cli\u003ePractical thoughts, opinions, and judgments on real-world applications of reliability theory and solves practical problems using mathematical models and algorithms\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eOptimal Resource Allocation\u003c\/i\u003e is a must-have guide for electrical, mechanical, and reliability engineers dealing with engineering design and optimal reliability problems. In addition, the book is excellent for graduate and PhD-level courses in reliability theory and optimization.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989721792741,"sku":"NP9781118389973","price":112.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118389973.jpg?v=1761785245","url":"https:\/\/k12savings.com\/es\/products\/optimal-resource-allocation-isbn-9781118389973","provider":"K12savings","version":"1.0","type":"link"}