Operations Research: An Introduction
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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PART MATHEMATICAL PROGRAMMING
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activity additional algorithm alternative amount analysis applied assignment associated assume basic solution basis becomes bound capacity changes Chapter coefficients column computations condition Consider constraints corresponding cost criterion critical decision defined demand destination determine distribution dual effect elements entering equal equation Example Exercise expected extreme feasible Figure flow Formulate given hence increase indicates integer inventory iteration leaving limit linear programming machine maximize maximum means minimize node nonbasic Notice objective function obtained operations optimal optimum solution period plant positive possible present primal probability problem procedure production profit range reduced remaining represents respectively result satisfied schedule selected shown shows side simplex method situation slack Solve stage starting step summarized supply Suppose Table tableau transportation unit variables vector yields zero