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Optimal hysteretic control for a B M A P / S M / 1 / N queue with two operation modes

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  • Alexander N. Dudin
  • Shoichi Nishimura

Abstract

We consider B M A P / S M / 1 type queueing system with finite buffer of size N . The system has two operation modes, which are characterized by the matrix generating function of B M A P -input, the kernel of the semi-Markovian service process, and utilization cost. An algorithm for determining the optimal hysteresis strategy is presented.

Suggested Citation

  • Alexander N. Dudin & Shoichi Nishimura, 2000. "Optimal hysteretic control for a B M A P / S M / 1 / N queue with two operation modes," Mathematical Problems in Engineering, Hindawi, vol. 5, pages 1-23, January.
    • Handle: RePEc:hin:jnlmpe:192937
    DOI: 10.1155/S1024123X99001167
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    Cited by:

    1. Jewgeni H. Dshalalow & Ahmed Merie & Ryan T. White, 2020. "Fluctuation Analysis in Parallel Queues with Hysteretic Control," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 295-327, March.

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