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Linear Mathematical Programming

  • Raphael T. Haftka
  • Zafer Gürdal
  • Manohar P. Kamat
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 1)

Abstract

Mathematical programming is concerned with the extremization of a function f defined over an n-dimensional design space R n and bounded by a set S in the design space. The set S may be defined by equality or inequality constraints, and these constraints may assume linear or nonlinear form. The function f together with the set S in the domain of f is called a mathematical program or a mathematical programming problem. This terminology is in common usage in the context of problems which arise in planning and scheduling which are generally studied under operations research; the branch of mathematics concerned with the decision making process. Mathematical programming problems may be classified into several different categories depending on the nature and form of the design variables, constraint functions, and the objective function. However, only two of these categories are of interest to us, namely the linear and the nonlinear programming (commonly designated as LP and NLP, respectively).

Keywords

Design Variable Linear Programming Problem Collapse Mechanism Collapse Load Basic Feasible Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1990

Authors and Affiliations

  • Raphael T. Haftka
    • 1
  • Zafer Gürdal
    • 2
  • Manohar P. Kamat
    • 3
  1. 1.Department of Aerospace and Ocean EngineeringVirginia Polytechnic Institute and State UniversityBlacksburgUSA
  2. 2.Department of Engineering Science and MechanicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA
  3. 3.School of Aerospace EngineeringGeorgia Institute of TechnologyAtlantaUSA

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