数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (3): 397-408.
唐应辉, 唐小我
TANG Ying-Hui, TANG Xiao-Wo
摘要:
This paper studies the bulk-arrival Mx/G/1 queue with single server vacation.
By introducing the server busy period and using the Laplace transform, the recursion
expression of the Laplace transform of the transient queue-length distribution is derived.
Furthermore, the distribution and stochastic decomposition result of the queue length at
a random point in equilibrium are obtained. Especially some results for the single-arrival
M/G/1 queue with single server vacation and bulk-arrival Mx/G/1 queue but with no
server vacation can be derived directly by the results obtained in this paper
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