“One of the best introductory books on linear programming ... excellent.” — Journal of the American Statistical Association.
“A good elementary text. ”— Mathematical Reviews.
Clear and comprehensive in its coverage of the entire spectrum of linear programming techniques, this volume introduces theoretical, computational, and applied concepts. Considerations of theoretical and computational methods include the general linear programming problem, the simplex computational procedure, the revised simplex method, the duality problems of linear programming, degeneracy procedures, parametric linear programming and sensitivity analysis, and additional computational techniques. The treatment of applications covers the transportation problem and general linear programming applications, and a final part examines nonlinear programming. Numerical examples and exercises with selected answers appear in every chapter.
Useful both as a text and as a reference, this volume provides valuable help to research analysts, applied mathematicians, economists, statisticians, and others wishing to make effective use of modern programming techniques.
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Saul I. Gass has been a leading contributor to operations research.
1. General Discussion 2. Mathematical Background 3. The General Linear-programming Problem 4. The Simplex Computational Procedure 5. The Revised Simplex Method 6. The Duality Problems of Programming 7. Degeneracy Procedures 8. Parametric Linear Programming and Sensitivity 9. Additional Computational Techniques 10. The Transportation Problem 11. General Linear-Programming Applications 12. Nonlinear Programming
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