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Author: | Ittimakin, P. Kao, E. P. C. |
Title: | Stationary waiting time distribution of a queue in which customers require a random number of servers. |
Journal: | Operations Research
1991 : JUL-AUG, VOL. 39:4, p. 633-638 |
Index terms: | QUEUING THEORY |
Language: | eng |
Abstract: | The multiserver queueing system is considered, in which customers require a random number of identical servers who must start serving together, but who may leave their assigned customer separately. Specifically, the system consists of s independent and identical servers. A matrix-geometric formulation of the problem is provided and a simple method for computing the stationary probability vector is presented. An algorithm based on randomization for computing the waiting time distribution is proposed. A numerical example and issues involved in extending the formulation to include customer priority classes are also given. |
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