Optimal management for a finite M/M/R queueing system with two arrival modes

Kuo Hsiung Wang*, Jyh Bin Ke, W.l. Pearn

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Scopus citations


We consider an M/M/R queueing system with finite capacity N, where customers have two arrival modes under steady-state conditions. It is assumed that each arrival mode is serviced by one or more servers, and that the two arrival modes have equal probabilities of receiving service. Arrival times of the customers and service times of the severs follow an exponential distribution. A cost model is developed to determine the optimal number of servers and the optimal system capacity. The minimum expected cost, the optimal number of servers, the optimal system capacity, and various system characteristics are obtained for some designated system parameters' values. Sensitivity for the minimal cost is also investigated.

Original languageEnglish
Pages (from-to)42-47
Number of pages6
JournalInternational Journal of Advanced Manufacturing Technology
Issue number1-2
StatePublished - 1 May 2007


  • Cost
  • Optimization
  • Queue
  • Sensitivity analysis
  • Two arrival modes

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