Operations research: an introduction, Volume 1
Significantly 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.
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activity algorithm applied artificial variables associated assuming basic solution basic variables basis changes Chapter column computations Consider the following corresponding cost criterion decision decision problem defined demand destination determine distribution dual prices dual problem dual simplex method dynamic programming entering variable equal Example expected value exponential distribution extreme points feasible solution Figure given infeasible integer integer programming inventory iteration leaving variable linear programming LP model machine matrix maximize maximum minimax minimize mixed cut node nonbasic variables nonnegative objective coefficient objective function objective value obtained optimal solution period primal simplex method procedure production profit pure strategies queueing queueing models random variable Reddy Mikks model represents result satisfied schedule Section selected shows simplex tableau slack slack variable solution space Solve stage starting solution subproblems summarized Suppose surplus variable Table tion transportation model unit vector yields z-equation zero