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
Recommended Citation
David C. R. Muh, “A bulk queueing system under N-policy with bilevel service delay discipline and start-up time,” Journal of Applied Mathematics and Stochastic Analysis, vol. 6, no. 4, pp. 359-384, 1993. doi:10.1155/S1048953393000309
