Operations Research: A Methodological Research

✍ Scribed by Elena S. Wentzel

• Publisher: Mir Publishers
• Year: 1983
• Tongue: English
• Leaves: 264
• Category: Library

✦ Table of Contents

Front Cover
Title Page
CONTENTS
FOREWORD
Chapter 1 THE NATURE AND USE OF OPERATIONS RESEARCH
1.1 Operations Research - What It and What It Does
1.2 Main Concepts of and Approaches to Operations Research
1.3 Model Development
Chapter 2 APPROACHING OPERATIONS RESEARCH PROBLEMS
2.1 Two Ways of Posing the Problem. Deterministic Models
2.2 Decision Making under Uncertainty
2.3 Multiobjective Problems
Chapter 3 LINEAR PROGRAMMING
3.1 Linear Programming Problems
3.2 Moving to Algebraic Solution
3.3 A Geometric Method of Solution
3.4 The Transportation Problem
3.5 Integer Programming. The Concepts of Nonlinear Programming
Chapter 4 DYNAMIC PROGRAMMING
4.1 Concepts of Dynamic Programming
4.2 Solving Dynamic Programming Examples
4.3 A General Form of DP Problem. The Principle of Optimality
Chapter 5 MARKOV PROCESSES
5.1 The Concept of the Markov Process
5.2 Arrivals Defined
5.3 The Kolmogorov Balance of State Equations
Chapter 6 QUEUEING OR WAITING LINE THEORY
6.1 Objectives and Models of the Theory
6.2 The Birth and Death Process. The Little Formula
6.3 Analysis of Simplest Queueing Models
6.4 More Complex Queueing Models
Chapter 7 STATISTICAL MODELING OF RANDOM PROCESSES (THE MONTE CARLO METHOD)
7.1 Idea, Purpose and Scope of the Method
7.2 Organizing a Random Sampling Mechanism
7.3 Modeling a Stationary Random Process by a Single Realization
Chapter 8 GAME THEORY FOR DECISION MAKING
8.1 Subject and Problems of Game Theory
8.2 Matrix Games
8.3 Resolving Finite Games
8.4 Statistical Decision Analysis
BIBLIOGRAPHY
Back Cover