SEARCHING FOR THE MULTIPLIER IN ONE CONSTRAINT OPTIMIZATION PROBLEMS,

Abstract

One-constraint optimization problems are approached via Lagrange multipliers. Sequential search schemes for generating suitable trial multiplier values are compared, and it is shown that, in general, the minimax sequential search is bisection. For certain applications, it pays to design search procedures that take advantage of special structure, such as recursively defined functions. An efficient, one-pass search procedure based on bisection for a multi-item, multi-echelon inventory problem is also presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0689846

Entities

People

  • B. L. Fox
  • D. M. Landi

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Optimization

Fields of Study

  • Mathematics

Readers

  • Operations Research