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A bulk queueing system under N -policy with bilevel service delay discipline and start-up time

David C. R. Muh

International Journal of Stochastic Analysis, 1993, vol. 6, 1-26

Abstract:

The author studies the queueing process in a single-server, bulk arrival and batch service queueing system with a compound Poisson input, bilevel service delay discipline, start-up time, and a fixed accumulation level with control operating policy. It is assumed that when the queue length falls below a predefined level r ( ≥ 1 ) , the system, with server capacity R , immediately stops service until the queue length reaches or exceeds the second predefined accumulation level N ( ≥ r ) . Two cases, with N ≤ R and N ≥ R , are studied.

The author finds explicitly the probability generating function of the stationary distribution of the queueing process and gives numerical examples.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:648596

DOI: 10.1155/S1048953393000309

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