A Mixed Optimization Technique for the Generalized Machine Replacement Problem.

Abstract

A mixed optimization technique for optimal machine replacement is presented which allows much more flexibility than previous models. Optimal purchase, maintenance, and sale of a given machine between any two given points in time is treated as a sub-problem, which one may choose to solve via control theory, dynamic programming, or practical engineering considerations. (A control theory formulation is used in the paper as an illustration.) These sub-problem solutions are then incorporated into a Wagner-Whitin formulation for solution of the full problem. The technique is particularly useful for problems with such asymmetries as an existing initial machine or uneven technological change. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0729065

Entities

People

  • S. P. Sethi
  • T. E. Morton

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Asymmetry
  • Computer Programming
  • Control Systems Engineering
  • Control Theory
  • Dynamic Programming
  • Engineering
  • Interdisciplinary Science
  • Maintenance
  • Mathematical Programming
  • Optimization
  • Resilience
  • Systems Engineering
  • Systems Science

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Industrial Economics
  • Operations Research