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Queue length distribution in a queue with relative priorities
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초록
We consider a single server multi-class queueing model with Poisson arrivals and relative priorities. For this queue, we derive a system of equations for the transform of the queue length distribution. Using this system of equations we find the moments of the queue length distribution as a solution of linear equations.
Abstract
We consider a single server multi-class queueing model with Poisson arrivals and relative priorities. For this queue, we derive a system of equations for the transform of the queue length distribution. Using this system of equations we find the moments of the queue length distribution as a solution of linear equations.
참고문헌 (3)
- E. Altman, "A survey on discriminatory processor shar-ing", Queueing Syst., 53(1), pp.53~63 (2006)
- M. Haviv, "Equilibrium strategies for processor sharing and random queues with relative priorities", Probab. Eng. Inform. Sci., 11(4), pp.403~412 (1997)
- M. Haviv, "Waiting times in queues with relative priorities", Oper. Res. Lett., 35(5), pp.591~594 (2007)
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