Book description
A UNIQUE ENGINEERING AND STATISTICAL APPROACH TO OPTIMAL RESOURCE ALLOCATION
Optimal Resource Allocation: With Practical Statistical Applications and Theory features the application of probabilistic and statistical methods used in reliability engineering during the different phases of life cycles of technical systems.
Bridging 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:
An overview of various approaches to optimal resource allocation, from classical Lagrange methods to modern algorithms based on ideas of evolution in biology
Numerous exercises and case studies from a variety of areas, including communications, transportation, energy transmission, and counterterrorism protection
The 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
Practical thoughts, opinions, and judgments on real-world applications of reliability theory and solves practical problems using mathematical models and algorithms
Optimal Resource Allocation 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.
Table of contents
- Cover
- Title page
- Copyright page
- Dedication
- Preface
-
CHAPTER 1: Basic Mathematical Redundancy Models
- 1.1 Types of Models
- 1.2 Non-repairable Redundant Group with Active Redundant Units
- 1.3 Non-repairable Redundant Group with Standby Redundant Units
- 1.4 Repairable Redundant Group with Active Redundant Units
- 1.5 Repairable Redundant Group with Standby Redundant Units
- 1.6 Multi-level Systems and System Performance Estimation
- 1.7 Brief Review of Other Types of Redundancy
- 1.8 Time Redundancy
- 1.9 Some Additional Optimization Problems
- CHAPTER 2: Formulation of Optimal Redundancy Problems
- CHAPTER 3: Method of Lagrange Multipliers
- CHAPTER 4: Steepest Descent Method
- CHAPTER 5: Dynamic Programming
- CHAPTER 6: Universal Generating Functions
- CHAPTER 7: Genetic Algorithms
- CHAPTER 8: Monte Carlo Simulation
- CHAPTER 9: Comments on Calculation Methods
- CHAPTER 10: Optimal Redundancy with Several Limiting Factors
- CHAPTER 11: Optimal Redundancy in Multistate Systems
- CHAPTER 12: Case Studies
-
CHAPTER 13: Counter-Terrorism: Protection Resources Allocation
- 13.1 Introduction
- 13.2 Written Description of the Problem
- 13.3 Evaluation of Expected Loss
- 13.4 Algorithm of Resource Allocation
- 13.5 Branching System Protection
- 13.6 Fictional Case Study
- 13.7 Measures of Defense, Their Effectiveness, and Related Expenses
- 13.8 Antiterrorism Resource Allocation under Fuzzy Subjective Estimates
- 13.9 Conclusion
- About the Author
- Index
Product information
- Title: Optimal Resource Allocation: With Practical Statistical Applications and Theory
- Author(s):
- Release date: April 2013
- Publisher(s): Wiley
- ISBN: 9781118389973
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