Inhaltsangabe
Empowering users with the knowledge necessary to begin using
mathematical programming as a tool for managerial applications, this
practical text shows when a mathematical model can be useful in solving
a problem, and instills an appreciation and understanding of the
mathematics associated with the applied techniques. Surveys problem
types, and discusses various ways to use specific mathematical tools.
Contains a brief introduction to matrix algebra as prerequisite material
for the study of linear programming. The discussion of linear
programming includes a verification of the simplex algorithm and a
chapter on duality and sensitivity analysis. Discusses the special
structures of four network problems: the transportation problem, the
critical path method, the shortest path problem, and minimal spanning
trees. Includes the method of Lagrange multipliers for non-linear
optimization. Touches on "mathematics" oriented (vs. applications)
material, with integrated proofs and discussions on such topics as basic
graph theory, matrix algebra, and properties of algorithms. Appendices
include answers to the odd problems, an introduction to the linear
programming software LINDO, an overview of the symbolic computation
package Maple, and a brief introduction to Excel and its optimization
add-in Solver.
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