rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Elementary linear programming with applications
  name:
    name part: Kolman, Bernard
    name part: 1932-
    role:
      role term: creator
  name:
    name part: Beck, Robert E.
    name part: 1941-
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: cau
    place:
      place term: San Diego
    publisher: Academic Press
    date issued: ©1995
    date issued: 1995
    edition: 2nd ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxii, 449 pages) : illustrations
  abstract: 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.
  table of contents: 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.
  note: Bernard Kolman, Robert E. Beck.
  note: Includes bibliographical references and index.
  subject:
    topic: Linear programming
  subject:
    topic: Programming, Linear
  subject:
    topic: Programmation linéaire
  subject:
    topic: Linear programming
  classification: T57.74 .K64 1995eb
  classification: 519.7/2
  related item:
    title info:
      title: Elementary linear programming with applications
    name:
      name part: Kolman, Bernard, 1932-
    origin info:
      publisher: San Diego : Academic Press, ©1995
      edition: 2nd ed.
    identifier: (DLC) 94041256
    identifier: (OCoLC)31374333
  related item:
    title info:
      title: Computer science and scientific computing
  identifier: 9780124179103
  identifier: 012417910X
  identifier: 81677:81677 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 070802
    record change date: 20260326145622.5
    record identifier: in00005730824
    language of cataloging:
      language term: eng