## Operations Research – Wentzel

In this post, we will see the book Operations Research: A Methodological Approach by Elena S. Wentzel.

### About the book

The aim of this book is to present in a widely appealing form the sub­ject matter and methods of operations research
(OR), a managerial tool designed to increase the effectiveness of mana­gerial decisions as an ob­jective supplement to the subjective assessment.
With no confinement to an exclusive area of practice, the discussion in the book is focused on the methodological as­pects which are common to all OR problems is simple and requires wherever they might ap­pear. Therefore the main emphasis is placed on such methodological treatises as problem formulation, model development, and assessment of computational results, rather than on mathematical rigor.
In writing this text the author — a well known Soviet mathematician and popular novelist – employed her many-year experience in govern­mental OR projects and lectureship at the Mos­cow Institute of Trans­portation Engineering to give a vivid presentation of the relevant methods of mathematical pro­gramming, game theory, queueing models, and decision analysis. The mathematics of the book is simple and requires only expertise in probability theory. The book is devoted primarily to the practitioners who are novices to the subject.
It will be interesting to students, engineers, managerial staff and all those involved in deci­sion making.
The book was translated from the Russian by Michael G. Edelev and was published by Mir in 1983.

### 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

## About The Mitr

I am The Mitr, The Friend

### 2 Responses to Operations Research – Wentzel

1. J. Jahan says:

Where is the book? There is no information regarding the book or any link on this page?

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• The Mitr says:

Thanks for pointing. Not sure what exactly happened. The entire post content seemed to vanish, thought tags and categories were preserved. Have updated it, please check.

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