Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness

  • Authors:
  • Ho Woo Lee;Sahng Hoon Cheon;Se Won Lee

  • Affiliations:
  • Sungkyunkwan University, Suwon, Korea;Consulting Business Unit, Dongbu Inf. Tech. Co., Ltd., Seoul, Korea;Sungkyunkwan University, Suwon, Korea

  • Venue:
  • valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
  • Year:
  • 2006

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Abstract

This paper studies the steady-state queue length process of the MAP/G/1 queue under the dyadic control of the D-policy and the generalized T-policy (multiple server vacations). We derive the probability generating function of the queue length and the mean queue length. Then we verify our analytical results through simulation. We finally present computational experiences and compare the MAP queue with the Poisson queue.