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M/G/1 vacation model with limited service discipline and hybrid switching-on policy

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  • Alexander V. Babitsky

Abstract

The author studies an M/G/1 queueing system with multiple vacations. The server is turned off in accordance with the K-limited discipline, and is turned on in accordance with the T-N-hybrid policy. This is to say that the server will begin a vacation from the system if either the queue is empty or K customers were served during a busy period. The server idles until it finds at least N waiting units upon return from a vacation. Formulas for the distribution generating function and some characteristics of the queueing process are derived. An optimization problem is discussed.

Suggested Citation

  • Alexander V. Babitsky, 1997. "M/G/1 vacation model with limited service discipline and hybrid switching-on policy," Mathematical Problems in Engineering, Hindawi, vol. 3, pages 1-11, January.
    • Handle: RePEc:hin:jnlmpe:454613
    DOI: 10.1155/S1024123X97000550
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