Discrete-time minimax production planning for manufacturing systems

M. D.S. Aliyu*, E. K. Boukas, A. A. Andijani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper deals with the production planning problem for discrete-time manufacturing systems with deteriorating items. A minimax approach is presented throughout the paper for the case where the demand is unknown. Both the cases of finite horizon and infinite horizon are discussed. Moreover, the case of production planning for manufacturing systems with failure-prone machines is also considered. For this case, a stochastic approach is used in which the states of the machines are represented by a two-state Markov process with transition rates determined by the availability of the machines. Finally, a robust control policy to take care of plant uncertainties is developed. Simulation results are also presented to show the usefulness of the approaches.

Original languageEnglish
Pages (from-to)501-522
Number of pages22
JournalEngineering Optimization
Volume32
Issue number4
DOIs
StatePublished - 2000

Bibliographical note

Funding Information:
This work has been done during Professor Boukas's visit to Systems Engineering Department, KFUPM, Saudi Arabia. His research was supported by the Natural Sciences and Engineering Research Council of Canada under grant OGP003644.

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Optimization
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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