Authors

David C.R. Muh

Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

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 Λ, 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.

First Page

359

Last Page

384

DOI

10.1155/S1048953393000309 10.1155/S1048953394000213

Publication Date

1993

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