Some Common-Sense Optimization Techniques for Non-Differentiable Functions of Several Variables.

Abstract

The problem of obtaining global optima of non-differentiable functions of several variables is studied. In general, the functions are multimodal and continuous on a compact domain. Two distinct methods are proposed and to some extent compared: The method of systematic search and the random search technique. In both cases it is assumed that the functions are defined and continuous on a compact domain. They are also assumed to be multimodal functions. In general the systematic search does not provide all the optimal points, the primary emphasis here being location of a global optimum. Despite several restrictions and difficulties, the Random Search method attempts to obtain all the optima, one optimum point in each mode.

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Document Details

Document Type
Technical Report
Publication Date
Jun 02, 1983
Accession Number
ADA129549

Entities

People

  • Bolindra N. Borah
  • James F. Chew

Organizations

  • North Carolina Agricultural and Technical State University

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  • Human Systems

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  • Algorithms
  • Applied Mathematics
  • Computer Programming
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  • Heuristic Methods
  • Iterations
  • Linear Programming
  • Mathematics
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  • North Carolina
  • Optimization
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  • Mathematics

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