When does the cμ rule apply to finite-population queueing systems?

Seyed M.R. Iravani*, Bora Kolfal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We consider optimal scheduling of the server in a finite-population queueing system with multiple classes of customers, when preemption is allowed. A customer of class i has arrival rate λi, service rate μi, and holding cost ci per unit time. We derive conditions under which the cμ rule is optimal.

Original languageEnglish (US)
Pages (from-to)301-304
Number of pages4
JournalOperations Research Letters
Issue number3
StatePublished - May 2005


  • Finite-source queue
  • Machine repairman problem; cμ rule; preemption
  • Optimal scheduling
  • Priority assignment

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics


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