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Elementary linear programming with applications

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Elementary linear programming with applications/ Bernard Kolman, Robert E. Beck.
作者:	Kolman, Bernard,
其他作者:	Beck, Robert Edward,
出版者:	San Diego :Academic Press, : c1995.,
面頁冊數:	xxii, 449 p. :ill. ; : 24 cm. +; 1 computer disk (3 1/2 in.) +
標題:	Linear programming. -
電子資源:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780124179103

Elementary linear programming with applications
Kolman, Bernard,1932-

Elementary linear programming with applications[electronic resource] /Bernard Kolman, Robert E. Beck. - 2nd ed. - San Diego :Academic Press,c1995. - xxii, 449 p. :ill. ;24 cm. +1 computer disk (3 1/2 in.) - Computer science and scientific computing series. - Computer science and scientific computing..

Includes bibliographical references and index.

Prologue: Introduction to Operations Research. Review of Linear Algebra: Matrices. Gauss-Jordan Reduction. The Inverse of a Matrix. Subspaces. Linear Independence and Basis. Introduction to Linear Programming: The Linear Programming Problem. Matrix Notation. Geometry of Linear Programming Problems. The Extreme Point Theorem. Basic Solutions. The Simplex Method: The Simplex Method for Problems in Standard Form. Degeneracy and Cycling. Artificial Variables.Further Topics in Linear Programming: Duality. The Duality Theorem. Computational Relations between the Primal and Dual Problems. The Dual Simplex Method. The Revised Simplex Method. Sensitivity Analysis. Computer Aspects. Integer Programming: Examples. Cutting Plane Methods. Branch and Bound Methods. Computer Aspects. Special Types of Linear Programming Problems: The Transportation Problem. The Assignment Problem. Graphs and Networks (Basic Definitions). The Maximal Flow Problem. The Shortest Route Problem. The Critical Path Method. Computer Aspects. Appendices: Karmarkar's Algorithm. Microcomputer Software. SMPX. Answers to Odd-Numbered Exercises. Index.

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. The disk that comes with the book contains the student-oriented linear programming code SMPX, written by Professor Evar Nering of Arizona State University. The authors also recommend inexpensive linear programming software for personal computers. * 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 * Added disk with the student-oriented linear programming code SMPX, written by Professor Evar Nering of Arizona State University * New guide to inexpensive linear programming software for personal computers.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780124179103

Source: 81677:81677Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

121474
Linear programming.
Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: T57.74 / .K64 1995eb

Dewey Class. No.: 519.7/2

Elementary linear programming with applications
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300 $a xxii, 449 p. : $b ill. ; $c 24 cm. + $e 1 computer disk (3 1/2 in.)
490 1 $a Computer science and scientific computing series
504 $a Includes bibliographical references and index.
505 0 $a Prologue: Introduction to Operations Research. Review of Linear Algebra: Matrices. Gauss-Jordan Reduction. The Inverse of a Matrix. Subspaces. Linear Independence and Basis. Introduction to Linear Programming: The Linear Programming Problem. Matrix Notation. Geometry of Linear Programming Problems. The Extreme Point Theorem. Basic Solutions. The Simplex Method: The Simplex Method for Problems in Standard Form. Degeneracy and Cycling. Artificial Variables.Further Topics in Linear Programming: Duality. The Duality Theorem. Computational Relations between the Primal and Dual Problems. The Dual Simplex Method. The Revised Simplex Method. Sensitivity Analysis. Computer Aspects. Integer Programming: Examples. Cutting Plane Methods. Branch and Bound Methods. Computer Aspects. Special Types of Linear Programming Problems: The Transportation Problem. The Assignment Problem. Graphs and Networks (Basic Definitions). The Maximal Flow Problem. The Shortest Route Problem. The Critical Path Method. Computer Aspects. Appendices: Karmarkar's Algorithm. Microcomputer Software. SMPX. Answers to Odd-Numbered Exercises. Index.
520 $a 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. The disk that comes with the book contains the student-oriented linear programming code SMPX, written by Professor Evar Nering of Arizona State University. The authors also recommend inexpensive linear programming software for personal computers. * 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 * Added disk with the student-oriented linear programming code SMPX, written by Professor Evar Nering of Arizona State University * New guide to inexpensive linear programming software for personal computers.
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