Operations Research

Operations Research: An Introduction, 9/e is ideal for or junior/senior undergraduate and first-year graduate courses in Operations Research in departments of Industrial Engineering, Business Administration, Statistics, Computer Science, and Mathematics.

 

This text streamlines the coverage of the theory, applications, and computations of operations research. Numerical examples are effectively used to explain complex mathematical concepts. A separate chapter of fully analyzed applications aptly demonstrates the diverse use of OR. The popular commercial and tutorial software AMPL, Excel, Excel Solver, and Tora are used throughout the book to solve practical problems and to test theoretical concepts.

(Pearson)

Bli först med att recensera och betygsätt boken Operations Research - du kan vinna 200 kr varje månad i tävlingen "Månadens recension".

Dr. Taha is an excellent author and presents materials in his book very well in terms of readability and clarity.  The topics within every chapter are presented in a cohesive and logical manner.

-M. Jeya Chandra, PENN STATE UNIVERSITY

 

The book is very clear and readable.  Figures do a good job of illustrating Dr. Tahas points.  It is very useful to have the Solver & TORA output shown in the chapter with discussion of how to interpret results.

-Marc E. Posner, THE OHIO STATE UNIVERSITY

(Pearson)

Hamdy A. Taha is a University Professor Emeritus of Industrial Engineering with the University of Arkansas, where he taught and conducted research in operations research and simulation. He is the author of three other books on integer programming and simulation, and his works have been translated to numerous languages. He is also the author of several book chapters, and his technical articles have appeared in European Journal of Operations Research, IEEE Transactions on Reliability, IIE Transactions, Interfaces, Management Science, Naval Research Logistics Quarterly, Operations Research, and Simulation. Professor Taha was the recipient of the Alumni Award for excellence in research and the university-wide Nadine Baum Award for excellence in teaching, both from the University of Arkansas, and numerous other research and teaching awards from the College of Engineering, University of Arkansas. He was also named a Senior Fulbright Scholar to Carlos III University, Madrid, Spain. He is fluent in three languages and has held teaching and consulting positions in Europe, Mexico, and the Middle East. .

(Pearson)

Chapter 1:  What Is Operations Research?

1.1 Operations Research Models

1.2 Solving the OR Model

1.3 Queuing and Simulation Models

   1.4 Art of Modeling

   1.5 More Than Just Mathematics

   1.6 Phases of an OR Study

   1.7 About This Book

References

 

Chapter 2:  Modeling with Linear Programming

2.1 Two-Variable LP Model

2.1.1 Properties of the LP Model

2.2 Graphical LP Solution

   2.2.1    Solution of a Maximization Model

   2.2.2    Solution of a Minimization Model

2.3 Computer Solution with Excel Solver and AMPL

   2.3.1 LP Solution with Excel Solver

   2.3.2 LP Solution with AMPL

2.4 Linear Programming Applications

2.4.1 Investment

2.4.2 Production Planning and Inventory Control

    2.4.3  Manpower Planning

    2.4.4 Urban Development Planning

 2.4.5 Blending and Refining

 2.4.6 Additional LP Applications

References

 

Chapter 3:  The Simplex Method and Sensitivity Analysis

3.1   LP Solution Space in Equation Form

3.2 Transition from Graphical to Algebraic Solution

3.3 The simplex Method

3.3.1 Iterative Nature of the Simplex Method

3.3.2 Computational Details of the Simplex Algorithm

3.4   Artificial Starting Solution

    3.4.1    M-Method

    3.4.2    Two-Phase Method

3.5 Special Cases in Simplex Method Application

   3.5.1    Degeneracy

   3.5.2    Alternative Optima

   3.5.3    Unbounded Solution

   3.5.4    Infeasible Solution

3.6 Sensitivity Analysis

    3.6.1 Graphical Sensitivity Analysis

    3.6.2 Algebraic Sensitivity AnalysisRight-hand Side of the Constraints

    3.6.3 Algebraic Sensitivity AnalysisObjective-Function Coefficients

    3.6.4 Sensitivity Analysis with TORA, Excel Solver, and AMPL

3.7  Computational Issue in Linear Programming

References

 

Chapter 4:  Duality and Post-Optimal Analysis

4.1 Definition of the Dual Problem

4.2 Primal-Dual Relationships

   4.2.1 Review of Simple Matrix Operations

   4.2.2 Simplex Tableau Layout

   4.2.3 Optimal Dual Solution

   4.2.4 Simplex Tableau Computations

4.3 Economic Interpretation of Duality

   4.3.1    Economic Interpretation of Dual Variab...

(Pearson)