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Elementary linear programming with applications Bernard Kolman, Robert E. Beck ; [cover photo by Terry Lennon].

Por: Colaborador(es): Series Computer science and applied mathematicsDetalles de publicación: New York Academic Press c1980.Descripción: xiii, 399 p. ill. 25 cmISBN:
  • 012417860X
Tema(s): Clasificación CDD:
  • 519.7/2
Clasificación LoC:
  • T57.74 .K64
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Libro Biblioteca Encarnación Valdés Colección General bev 519.72 K81e (Navegar estantería(Abre debajo)) Disponible 80000001214884
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Descripciones mejoradas de Syndetics:

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

Includes index.

Tabla de contenidos provista por Syndetics

  • 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
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