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1 results

  • Analysis of finite-capacity polling systems

  • Hideaki Takagi
  • Journal:
    Advances in Applied Probability / Volume 23 / Issue 2 / June 1991
    Published online by Cambridge University Press:
    01 July 2016, pp. 373-387
    Print publication:
    June 1991

  • We consider a system of N finite-capacity queues attended by a single server in cyclic order. For each visit by the server to a queue, the service is given continuously until that queue becomes empty (exhaustive service), given continuously only to those customers present at the visiting instant (gated service), or given to only a single customer (limited service). The server then switches to the next queue with a random switchover time, and administers the same type of service there similarly. For such a system where each queue has a Poisson arrival process, general service time distribution, and finite capacity, we find the distribution of the waiting time at each queue by utilizing the known results for a single M/G/1/K queue with multiple vacations.