Bong Dae Choi, Yeong Cheol Kim, Yang Woo Shin, Charles E. M. Pearce, "The queue with queue length dependent service times", International Journal of Stochastic Analysis, vol. 14, Article ID 921703, 21 pages, 2001. https://doi.org/10.1155/S104895330100034X
The queue with queue length dependent service times
We deal with the 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 and its limiting distribution and the virtual waiting time distribution. The numerical results for transient mean queue length and queue length distributions are given.
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