Analysis of a discrete production workstation

Omar G. Alsawafy*, Shokri Z. Selim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


This paper introduces discrete production systems where units are produced one at a time. These systems exist in industry but to the best of our knowledge, they have not been addressed in the open literature. Manufacturing of large iron castings and special precast panels are examples of such production systems. We consider the case where the production process is imperfect resulting in non-conforming units that would be reworked. We assume that the rework process is imperfect and repeated as many times as needed until a conforming unit is produced or the production run ends. The outcomes of this process can be presented by a tree where each branch represents a sequence of production and rework attempts. We call each branch a scenario. The possible number of branches/scenarios is enormously huge, even for reasonable production periods. We employ novel ideas to characterize all branches/scenarios in order to develop the probability mass function for the number of conforming units produced in a given length of the production period. We also, find the expected number of production attempts and rework attempts and the net cost of producing a conforming unit.

Original languageEnglish
Article number105532
JournalComputers and Operations Research
StatePublished - Jan 2022

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Ltd


  • Discrete production system
  • Imperfect production
  • Imperfect rework
  • Production
  • Random production output

ASJC Scopus subject areas

  • General Computer Science
  • Modeling and Simulation
  • Management Science and Operations Research


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