A new proof of finite moment conditions for GI/G/1 busy periods

Springer Science and Business Media LLC - Tập 4 - Trang 171-178 - 1989
Saeed Ghahramani1, Ronald W. Wolff2
1Department of Mathematics, Towson State University, Towson, USA
2Department of Industrial Engineering and Operations Research, University of California, Berkeley, USA.

Tóm tắt

A generalization of the GI/G/1 queue is considered where the service time of the nth customer and the inter-arrival time between arrivalsn andn+1 may be dependent random variables. New proofs are obtained of finite moment conditions for busy periods and the ladder epochs of a corresponding random walk. The method of proof, which is much different from the usual ones, directly relates busy period moments to virtual and actual delay moments.

Tài liệu tham khảo

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