The Mx/G/1 queue with queue length dependent service times
Date
2001
Authors
Choi, Bong Dae
Kim, Yeong Cheol
Shin, Yang Woo
Pearce, Charles Edward Miller
Editors
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Journal Title
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Volume Title
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Journal article
Citation
J.A.M.S.A. Journal of Applied Mathematics and Stochastic Analysis, 2001; 14(4):399-419
Statement of Responsibility
Bong Dae Choi, Yeong Cheol Kim, Yang Woo Shin, and Charles E. M. Pearce
Conference Name
Abstract
We deal with the MX/G/1 queue where service times depend on the queue length at the service initiation. By using Markov renewal theory, we derive the queue length distribution at departure epochs. We also obtain the transient queue length distribution at time t and its limiting distribution and the virtual waiting time distribution. The numerical results for transient mean queue length and queue length distributions are given.
School/Discipline
School of Mathematical Sciences : Applied Mathematics
Dissertation Note
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© 2001 by North Atlantic Science Publishing Company