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Optimal control of an M/H k /1 queueing system with a removable server

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  • Kuo-Hsiung Wang
  • Kuo-Liang Yen

Abstract

This paper studies a single removable server queueing system with Poisson arrivals and k-type hyper-exponential service time distribution operating under the N-policy. The server may be turned on at arrival epochs or off at departure epochs. We show that the probability that the server is busy in the steady-state is equal to ∑ i=1 k q i ρ i . Various system performance measures, such as the expected number of customers in the system, the expected waiting time in the queue, and the expected waiting time in the system are obtained. A total expected cost function per unit time is developed to determine the optimal operating N-policy at minimum cost. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Kuo-Hsiung Wang & Kuo-Liang Yen, 2003. "Optimal control of an M/H k /1 queueing system with a removable server," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(2), pages 255-262, May.
    • Handle: RePEc:spr:mathme:v:57:y:2003:i:2:p:255-262
    DOI: 10.1007/s001860200263
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    Cited by:

    1. Briytone Mutichiro & Younghan Kim, 2021. "User preference–based QoS-aware service function placement in IoT-Edge cloud," International Journal of Distributed Sensor Networks, , vol. 17(5), pages 15501477211, May.

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