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Mark S. Squillante Yanyong Zhang Anand Sivasubramaniam Natarajan Gautam 《Annals of Operations Research》2008,160(1):227-255
This paper introduces a generalization of the classical parallel-server fork-join queueing system in which arriving customers
fork into multiple tasks, every task is uniquely assigned to one of the set of single-server queues, and each task consists
of multiple iterations of different stages of execution, including task vacations and communication among sibling tasks. Several
classes of dynamic polices are considered for scheduling multiple tasks at each of the single-server queues to maintain effective
server utilization. The paper presents an exact matrix-analytic analysis of generalized parallel-server fork-join queueing
systems, for small instances of the stochastic model, and presents an approximate matrix-analytic analysis and fixed-point
solution, for larger instances of the model. 相似文献
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This paper analyzes a discrete-time Geo/Geo/1 queueing system with the server subject to breakdowns and repairs, in which two different possible types of the server breakdowns are considered. In Type 1, the server may break down only when the system is busy, while in Type 2, the server can break down even if the system is idle. The server lifetimes are assumed to be geometrical and the server repair times are also geometric distributions. We model this system by the level-dependent quasi-birth-death (QBD) process and develop computation algorithms of the stationary distribution of the number of customers in the system using the matrix analytic method. The search algorithm for parameter optimization based on a cost model is developed and performed herein. 相似文献
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