HYPERBOLIC PROGRAMMING

Abstract

This study discusses a special case of mathematical programming, namely, when the functions f sub 1 ... f sub m are linear and the function v is a linear fractional function. Since the graph of y = cx - c - sub o, dx - d sub o which is a one-variable linear fractional function, is hyperbolic on the (x,y) coordinate system, this is called a hyperbolic programming problem. It is shown that the problem of hyperbolic programming can be solved with the aid of a slightly modified simplex method.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1964
Accession Number
AD0622077

Entities

People

  • Bela Martos

Organizations

  • Carnegie Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Computer Programming
  • Computers
  • Convex Sets
  • Coordinate Systems
  • Digital Computers
  • Equations
  • Inequalities
  • Linear Programming
  • Mathematical Programming
  • Military Research
  • Observation
  • Quadrants
  • Simplex Method
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Operations Research