A LINEAR PROGRAM OF PRAGER'S. NOTES ON LINEAR PROGRAMMING AND EXTENSIONS. PART 60

Abstract

For the problem of minimizing the integral f(x)dx from limits of 0 to 1 subject to the constraints - f(x) xg(y) f(x) if 0 x y 1, - f(x) xg(y) - x + y f(x) if 0 y x 1, solutions are given to prove both that they satisfy the constraints and that they have the extremizing property. The problem arose in an elastico-plastic, structural-design context.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1962
Accession Number
AD0274596

Entities

People

  • Oliver Gross

Organizations

  • RAND Corporation

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  • Air Platforms
  • Materials and Manufacturing Processes

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  • Aeronautical Engineering
  • Air Force
  • Algorithms
  • Computations
  • Computer Programming
  • Equations
  • Government Procurement
  • Inequalities
  • Integrals
  • Intervals
  • Linear Programming
  • Mathematics
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  • Operations Research
  • Simplex Method
  • United States

Fields of Study

  • Mathematics

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  • Analytical Mechanics
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