Elementary Linear Programming with Applications

Bernard Kolman, Robert E. Beck

Gulf Professional Publishing, Jul 6, 1995 - Business & Economics - 449 pages

Linear programming finds the least expensive way to meet given needs with available resources. Its results are used in every area of engineering and commerce: agriculture, oil refining, banking, and air transport. Authors Kolman and Beck present the basic notions of linear programming and illustrate how they are used to solve important common problems. The software on the included disk leads students step-by-step through the calculations.

The Second Edition is completely revised and provides additional review material on linear algebra as well as complete coverage of elementary linear programming. Other topics covered include: the Duality Theorem; transportation problems; the assignment problem; and the maximal flow problem. New figures and exercises are provided and the authors have updated all computer applications.

• More review material on linear algebra
• Elementary linear programming covered more efficiently
• Presentation improved, especially for the duality theorem, transportation problems, the assignment problem, and the maximal flow problem
• New figures and exercises
• Computer applications updated
• New guide to inexpensive linear programming software for personal computers

Contents

• Review of Linear Algebra Optional: 1
• Introduction to Linear Programming: 45
• The Simplex Method: 103
• Integer Programming: 249
• Special Types of Linear Programming Problems: 295
• A Karmarkars Algorithm: 397
• B Microcomputer Software: 403
• Index: 441

Bibliographic information

• Title: Elementary Linear Programming with Applications; Computer science and scientific computing
• Authors: Bernard Kolman, Robert E. Beck
• Publisher: Gulf Professional Publishing, 1995
• ISBN: 012417910X, 9780124179103
• Length: 449 pages
• Subjects: Business & Economics / General; Computers / Computer Science; Computers / Management Information Systems; Mathematics / Applied; Mathematics / Differential Equations / General; Mathematics / Linear & Nonlinear Programming; Mathematics / Optimization