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: Linear Programming
    sub title: 1: Introduction
  name:
    name part: Dantzig, George B.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Thapa, Mukund N.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXXVIII, 435 p. online resource.
  abstract: By George B. Dantzig LINEAR PROGRAMMING The Story About How It Began: Some legends, a little about its historical sign- cance, and comments about where its many mathematical programming extensions may be headed. Industrial production, the ?ow of resources in the economy, the exertion of military e?ort in a war, the management of ?nances—all require the coordination of interrelated activities. What these complex undertakings share in common is the task of constructing a statement of actions to be performed, their timing and quantity(calledaprogramorschedule), that, ifimplemented, wouldmovethesystem from a given initial status as much as possible towards some de?ned goal. While di?erences may exist in the goals to be achieved, the particular processes, and the magnitudes of e?ort involved, when modeled in mathematical terms these seemingly disparate systems often have a remarkably similar mathematical str- ture. The computational task is then to devise for these systems an algorithm for choosing the best schedule of actions from among the possible alternatives. The observation, in particular, that a number of economic, industrial, ?nancial, and military systems can be modeled (or reasonably approximated) by mathem- ical systems of linear inequalities and equations has given rise to the development of the linear programming ?eld.
  table of contents: The Linear Programming Problem -- Solving Simple Linear Programs -- The Simplex Method -- Interior-Point Methods -- Duality -- Equivalent Formulations -- Price Mechanism and Sensitivity Analysis -- Transportation and Assignment Problem -- Network Flow Theory.
  note: by George B. Dantzig, Mukund N. Thapa.
  subject:
    topic: Business
  subject:
    topic: Operations research
  subject:
    topic: Decision making
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Business and Management
  subject:
    topic: Operation Research/Decision Theory
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  classification: HD30.23
  classification: 658.40301
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Operations Research and Financial Engineering
  identifier: 9780387226330
  identifier: http://dx.doi.org/10.1007/b97672
  record info:
    record creation date: 100301
    record change date: 20151204180441.0
    record identifier: 978-0-387-22633-0