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KNOWLEDGE FOR GENERATIONS

WILEY - KNOWLEDGE FOR GENERATIONS

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  • 1. Optimization Models, Techniques, and Algorithms
    • 1.1 Linear Programming (LP)
      • 1.1.1 Fundamental Techniques
      • 1.1.2 Large-scale Optimization
      • 1.1.3 Non-simplex Algorithms for LP
    • 1.2 Nonlinear Programming (NLP) and Global Optimization (GO)
      • 1.2.1 Foundations
      • 1.2.2 Unconstrained NLP Algorithms
      • 1.2.3 Classical Constrained Optimization Methods
      • 1.2.4 Emerging Global Optimization Techniques
      • 1.2.5 Specially Structured Problem Analysis
    • 1.3 Network and Graph Optimization
      • 1.3.1 Graph Theoretical Problems
      • 1.3.2 Graph Characterizations
      • 1.3.3 Network Flows
      • 1.3.4 NP-hard Network Flow Problems
      • 1.3.5 Equilibrium / Game Theory Problems
    • 1.4 Combinatorial Optimization/Integer Programming
      • 1.4.1 Models
      • 1.4.2 Branch-and-Bound
      • 1.4.3 Implicit Enumeration and Constraint Programming
      • 1.4.4 Cutting Plane/Valid Inequality Theory, Polyhedral Combinatorics
      • 1.4.5 Automatic Convexification Techniques
      • 1.4.6 Group Theory in Integer Programming
    • 1.5 Optimization under Uncertainty
      • 1.5.1 Models
      • 1.5.2 Two-stage Stochastic Programming
      • 1.5.3 Multi-stage Stochastic Programming
      • 1.5.4 Scenario Generation and Sampling
      • 1.5.5 Stochastic Integer Programming
      • 1.5.6 Probabilistically Constrained Programming
      • 1.5.7 Robust Optimization
      • 1.5.8 Interdiction Problems
      • 1.5.9 Extensions of Stochastic Programming
      • 1.6 Dynamic Programming
        • 1.6.1 Fundamentals
        • 1.6.2 Advanced Concepts
      • 1.7 Heuristics and Meta-heuristics
        • Single Search Based Meta-heuristics
        • 1.7.1 Population Based Heuristics
        • 1.7.2 Constructive Heuristics
        • 1.7.3 Heuristics for Multiple Objectives
        • 1.7.4 Meta-heuristics for Stochastic Problems
        • 1.7.5 Emerging and Combined Approaches
      • 1.8 Optimization Software
        • 1.8.1 Decision Support Systems
        • 1.8.2 Optimization Solvers
  • 2. Stochastic Models
    • 2.1 Stochastic Processes
      • 2.1.1 Discrete-time Markov Chains (DTMCs)
      • 2.1.2 Continuous-time Markov Chains (CTMCs)
      • 2.1.3 Point Processes
      • 2.1.4 Renewal and Regenerative Processes
      • 2.1.5 Markov Renewal and Markov Regenerative Processes
      • 2.1.6 Diffusion Processes and Random Walks
      • 2.1.7 Branching Processes
      • 2.1.8 Martingales
      • 2.1.9 Stochastic Orders for Stochastic Processes
      • 2.1.10 Large Deviations Principles
    • 2.2 Queueing Theory and Queueing Networks
      • 2.2.1 General Description of Queueing Models
      • 2.2.2 Single-Station Queues CTMC Models
      • 2.2.3 Single-Station Queues: Non-CTMC Models
      • 2.2.4 Single-Station Queues: Other Models
      • 2.2.5 Approximations for Queueing Systems
      • 2.2.6 Matrix-Analytic Methods
      • 2.2.7 Product-Form Queueing Networks
      • 2.2.8 General Queueing Networks
      • 2.2.9 Scheduling and Controlling Queueing Networks
    • 2.3 Reliability and Maintainability
      • 2.3.1 Failure-based Reliability
      • 2.3.2 System Reliability
      • 2.3.3 State-dependent Systems
      • 2.3.4 Reliability Estimation and Testing
      • 2.3.5 Reliability Optimization
      • 2.3.6 Maintainability
      • 2.3.7 Availability
      • 2.3.8 Computer and Network Reliability
      • 2.3.9 Condition-Based Maintenance and Reliability
    • 2.4 Simulation Modeling and Analysis
      • 2.4.1 Simulation Model Building
      • 2.4.2 Simulation Input Analysis
      • 2.4.3 Simulation Output Analysis
      • 2.4.4 Verification, Validation, and Testing
      • 2.4.5 Variance Reduction Techniques
      • 2.4.6 Random Number Generation
      • 2.4.7 Monte-Carlo Method
      • 2.4.8 Markov-chain Monte-Carlo
      • 2.4.9 Simulation Optimization
      • 2.4.10 Simulation of Rare Events
    • 2.5 Markov Decision Processes (MDPs)
      • 2.5.1 Introduction to MDPs
      • 2.5.2 Finite-horizon MDPs
      • 2.5.3 Total Expected Discounted Reward Criterion
      • 2.5.4 Total Expected Reward Criterion
      • 2.5.5 Average Reward Criterion
      • 2.5.6 Continuous-time MDPs
      • 2.5.7 Partially Observable MDPs (POMDPs)
      • 2.5.8 Large-Scale MDPs
      • 2.5.9 Structured MDP Policies
      • 2.5.10 Linear Programming Formulations of MDPs
    • 2.6 Stochastic Optimization
      • 2.6.1 Stochastic Approximation Methods
      • 2.6.2 Optimization of Empirical Processes
      • 2.6.3 Stochastic Heuristic Search Methods
    • 2.7 Data Mining and Forecasting
      • 2.7.1 Data Mining: Foundations and Applications
      • 2.7.2 Forecasting Techniques
  • 3. Decision and Risk Analysis and Game Theory
    • 3.1 Decision Analysis
      • 3.1.1 Foundations and Principles of Decision Analysis
      • 3.1.2 Psychological Basis of Decision-making under Uncertainty and Risk
      • 3.1.3 Normative Structuring of Decision Problems
      • 3.1.4 Modeling a Decision Maker’s Preferences for Outcomes
      • 3.1.5 Modeling a Decision Maker’s Risk Attitude
      • 3.1.6 Modeling a Decision Maker’s Beliefs about Actions and Outcomes
      • 3.1.7 Quantifying a Decision Analysis Model
      • 3.1.8 Representing and Modeling Decision Problems
      • 3.1.9 Solving Decision Analysis Models
      • 3.1.10 Communicating, Interpreting, and Understanding Decision Analysis Results
      • 3.1.11 Value of Information and Option Values
      • 3.1.12 Decision Aids for Improving Individual Decisions
      • 3.1.13 Decision-making without Explicit Models of Decision Problems
      • 3.1.14 Decision Aids for Improving Group Decisions
      • 3.1.15 Collective Choice and Social Utility Theory
      • 3.1.16 Aggregating Individual Knowledge, Beliefs, and Preferences
      • 3.1.17 Team Theory, Club Theory, Syndicate Theory
    • 3.2 Risk Analysis
      • 3.2.1 Risk Perception
      • 3.2.2 Risk Measurement
      • 3.2.3 Risk Assessment
      • 3.2.4 Risk Management
      • 3.2.5 Risk Communication
      • 3.2.6 Risk Analysis Applications
    • 3.3 Game Theory
      • 3.3.1 Foundations and Principles of Game Theory
      • 3.3.2 Solution Concepts and Algorithms for Two-person Zero-sum Games with Perfect Information
      • 3.3.3 Computational Game Theory
      • 3.3.4 Solution Concepts and Algorithms for Noncooperative Games and Games with Imperfect Information
      • 3.3.5 Differential Games and Applications
      • 3.3.6 Principal-Agent Games and Applications
      • 3.3.7 Spatial Games
      • 3.3.8 Cooperative Games and Applications
      • 3.3.11 Solution Concepts and Applications for N-person Games
    • 3.4 Problems with Large Numbers of Decision Makers
      • 3.4.1 Market Games with Many Players
      • 3.4.2 Bilateral Matching Games and Applications
      • 3.4.3 Self-organizing Systems of interacting decision-makers
    • 3.5 Bidding and Auctions
      • 3.5.1 Bidding and Auctions
    • 3.6 Toward More Realistic Models of Games
      • 3.6.1 Toward More Realistic Models of Games
  • 4. Applications and History
    • 4.1 Manufacturing Applications
      • 4.1.1 Manufacturing Facility Design and Layout
      • 4.1.2 Product Design and Life Cycle Management
      • 4.1.3 Manufacturing Flexibility
      • 4.1.4 Production Scheduling
      • 4.1.5 Manufacturing Operations Management
    • 4.2 Retail and Service Applications
      • 4.2.1 Retail Applications
      • 4.2.2 Service Facility Design and Layout
      • 4.2.3 Sports and Entertainment
      • 4.2.4 Telecommunications
    • 4.3 Medicine and Health Care
      • 4.3.1 Medicine and Health Care
    • 4.4 Transportation and Warehousing Systems
      • 4.4.1 Freight Transportation
      • 4.4.2 Passenger Transportation
      • 4.4.3 Warehousing and Cross-Docking
      • 4.4.4 Vehicle Routing and Scheduling
      • 4.4.5 Location Analysis
      • 4.4.6 Urban Transportation
    • 4.5 Supply Chain Management
      • 4.5.1 Supply Chain Design
      • 4.5.2 Product Design
      • 4.5.3 Inventory Management and Control
      • 4.5.4 Supply Chain Scheduling
      • 4.5.5 Contracts in Supply Chains
      • 4.5.6 Supply Chain Collaboration
      • 4.5.7 Sales Optimization Models
      • 4.5.8 Marketing/Operations Interface
      • 4.5.9 Closed Loop Supply Chains
      • 4.5.10 Behavioral/Experimental Operations
    • 4.6 Applications with Societal Impact
      • 4.6.1 Military Applications
      • 4.6.2 Anti-Terrorism and Homeland Security
      • 4.6.3 Humanitarian and Public Service Applications
      • 4.6.4 Environmental Planning and Energy
      • 4.6.5 Operations Research in Politics
    • 4.7 Financial Applications
      • 4.7.1 Auctions
      • 4.7.2 Pricing and Revenue Management
      • 4.7.3 Financial Engineering
    • 4.8 Industrial
      • 4.8.1 High-Tech Industries
      • 4.8.2 Telecommunications
      • 4.8.3 Natural Resources
      • 4.8.4 Consumer Packaged Goods
      • 4.8.5 Transportation and Logistics
      • 4.8.6 Travel and Entertainment
      • 4.8.7 Military Applications