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Service System with Batch Arrivals and Batch Services

  • 주제(KDC) 050
  • 발행기관 서울産業大學校
  • 발행년도 1994
  • 총서유형 Journal
  • 본문언어 한국어

초록/요약

A service system with batch arrivals and batch services, respresented by MЬn/MЬn/1, is considered. This is a single-server system in which batches of units arrive according to a Poisson process with rate depending on the number in the system and the batch size have a geometric distribution . Similarly, the service process is a batch service system in which batches depart according to a Poisson process with rate depending on the number in the system and the batch size truncated geometric variables. We derive the closed-form equilibrium distribution of the number of units in this MЬn/MЬn/1 system. We also consider a two-node tandem queueing network in which batches of units arrive according to a MЬn process and a two-node tandem queueing network in which batches of units depart the system according to a MЬn process. We derive the closed-form equilibrium distribution of the number of units these tandem queueing networks.

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