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Elena S. Wentzel - Operations Research: A Methodologica


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ISBN: Ostalo
Godina izdanja: 1983
Jezik: Engleski
Oblast: Matematika
Autor: Strani

Elena S. Wentzel - Operations Research: A Methodological Approach
Mir Publishers, Moscow, 1983
256 str.
tvrdi povez
stanje: vrlo dobro

Translated from the Russian by Michael G. Edelev

CONTENTS
FOREWORD 7
1. THE NATURE AND USE OF OPERATIONS RESEARCH 11
1.1 Operations Research—What It Is and What It Does 11
1.2 Main Concepts and Approaches of Operations Research 18
1.3 Model Development 25
2. APPROACHING OPERATIONS RESEARCH PROBLEMS 31
2.1 Two Ways of Posing the Problem. Deterministic Models 31
2.2 Decision Making under Uncertainty 35
2.3 Multiobjective Problems 49
3. LINEAR PROGRAMMING 62
3.1 Linear Programming Problems 62
3.2 Moving to Algebraic Solution 72
3.3 A Geometric Method of Solution 76
3.4 The Transportation Problem 86
3.5 Integer Progamming. The Concepts of Nonlinear Programming 98
4. DYNAMIC PROGRAMMING 104
4.1 Concepts of Dynamic Programming 104
4.2 Solving Dynamic Programming Examples 114
4.3 A General Form of DP Problem. The Principle of Optimality 131
5. MARKOV PROCESSES 138
5.1 The Concept of the Markov Process 138
5.2 Arrivals Defined 145
5.3 The Kolmogorov Balance of State Equations 15
6. QUEUEING OR WAITING LINE THEORY 163
6.1 Objectives and Models of the Theory 163
6.2 The Birth and Death Process. The Little Formula 168
6.3 Analysis of Simplest Queueing Models 174
6.4 More Complex Queueing Models 193
7. STATISTICAL MODELING OF RANDOM PROCESSES (THE MONTE CARLO METHOD) 199
7.1 Idea, Purpose and Scope of the Method 199
7.2. Organizing a Random Sampling Mechanism 203
7.3 Modeling a Stationary Random Process by a Single Realization 210
8. GAME THEORY FOR DECISION MAKING 214
8.1 Subject and Problems of Game Theory 8.2 Matrix Games 219
8.3 Resolving Finite Games 228
8.4 Statistical Decision Analysis 240
BIBLIOGRAPHY 254



Computer Science | Operations Research | Linear Programming | Game Theory

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Predmet: 26246273
Elena S. Wentzel - Operations Research: A Methodological Approach
Mir Publishers, Moscow, 1983
256 str.
tvrdi povez
stanje: vrlo dobro

Translated from the Russian by Michael G. Edelev

CONTENTS
FOREWORD 7
1. THE NATURE AND USE OF OPERATIONS RESEARCH 11
1.1 Operations Research—What It Is and What It Does 11
1.2 Main Concepts and Approaches of Operations Research 18
1.3 Model Development 25
2. APPROACHING OPERATIONS RESEARCH PROBLEMS 31
2.1 Two Ways of Posing the Problem. Deterministic Models 31
2.2 Decision Making under Uncertainty 35
2.3 Multiobjective Problems 49
3. LINEAR PROGRAMMING 62
3.1 Linear Programming Problems 62
3.2 Moving to Algebraic Solution 72
3.3 A Geometric Method of Solution 76
3.4 The Transportation Problem 86
3.5 Integer Progamming. The Concepts of Nonlinear Programming 98
4. DYNAMIC PROGRAMMING 104
4.1 Concepts of Dynamic Programming 104
4.2 Solving Dynamic Programming Examples 114
4.3 A General Form of DP Problem. The Principle of Optimality 131
5. MARKOV PROCESSES 138
5.1 The Concept of the Markov Process 138
5.2 Arrivals Defined 145
5.3 The Kolmogorov Balance of State Equations 15
6. QUEUEING OR WAITING LINE THEORY 163
6.1 Objectives and Models of the Theory 163
6.2 The Birth and Death Process. The Little Formula 168
6.3 Analysis of Simplest Queueing Models 174
6.4 More Complex Queueing Models 193
7. STATISTICAL MODELING OF RANDOM PROCESSES (THE MONTE CARLO METHOD) 199
7.1 Idea, Purpose and Scope of the Method 199
7.2. Organizing a Random Sampling Mechanism 203
7.3 Modeling a Stationary Random Process by a Single Realization 210
8. GAME THEORY FOR DECISION MAKING 214
8.1 Subject and Problems of Game Theory 8.2 Matrix Games 219
8.3 Resolving Finite Games 228
8.4 Statistical Decision Analysis 240
BIBLIOGRAPHY 254



Computer Science | Operations Research | Linear Programming | Game Theory
26246273 Elena S. Wentzel - Operations Research: A Methodologica

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