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Empowering users with the knowledge necessary to begin usingmathematical programming as a tool for managerial applications, thispractical text shows when a mathematical model can be useful in solvinga problem, and instills an appreciation and understanding of themathematics associated with the applied techniques. Surveys problemtypes, and discusses various ways to use specific mathematical tools.Contains a brief introduction to matrix algebra as prerequisite materialfor the study of linear programming. The discussion of linearprogramming includes a verification of the simplex algorithm and achapter on duality and sensitivity analysis. Discusses the specialstructures of four network problems: the transportation problem, thecritical path method, the shortest path problem, and minimal spanningtrees. Includes the method of Lagrange multipliers for nonlinearoptimization. Touches on 'mathematics' oriented (vs. applications)material, with integrated proofs and discussions on such topics as basicgraph theory, matrix algebra, and properties of algorithms. Appendicesinclude answers to the odd problems, an introduction to the linearprogramming software LINDO, an overview of the symbolic computationpackage Maple, and a brief introduction to Excel and its optimizationaddin Solver.
⚠️ WARNING (California Proposition 65):
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birth defects, or other reproductive harm.
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