Operations Research: An IntroductionSignificantly revised, this book provides balanced coverage of the theory, applications, and computations of operations research. The applications and computations in operations research are emphasized. Significantly revised, 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. New materials include Markov chains, TSP heuristics, new LP models, and a totally new simplex-based approach to LP sensitivity analysis. |
Contents
MATHEMATICAL PROGRAMMING | 13 |
The Simplex Method | 58 |
Revised Simplex Method | 113 |
Copyright | |
19 other sections not shown
Common terms and phrases
activity algorithm applied arrival artificial variables assignment associated assuming b₁ basic solution basic variables C₁ Chapter coefficients column computations constraints corresponding cost customers D₁ decision decision problem defined demand determine distribution dual price dual simplex method dynamic programming entering variable equal Example exponential exponential distribution extreme points facility feasible solution Figure given infeasible integer inventory iteration leaving variable linear programming machine Markov chain mathematical matrix maximize z maximum Mikks minimax minimize node nonbasic variables nonnegative objective function objective value obtained operation optimal solution optimum period Poisson Poisson distribution probability problem procedure production queue queueing models queueing theory Reddy Mikks represents resource result S₁ satisfied Section servers SIMNET simplex method simulation slack variable solution space Solve stage stationary policies subject to maximize summarized Table tableau tion TORA transaction unit vector w₁ waiting x₁ x₂ y₁ yields zero