Nonstationary analysis of the loss queue and of queueing networks of loss queues

Khalid Abdulaziz Alnowibet and Harry Perros

European Journal of Operational Research, 2009, vol. 196, issue 3, 1015-1030

Abstract: We present an iterative scheme based on the fixed-point approximation method, for the numerical calculation of the time-dependent mean number of customers and blocking probability functions in a nonstationary queueing network with multi-rate loss queues. We first show how the proposed method can be used to analyze a single-class, multi-class, and multi-rate nonstationary loss queue. Subsequently, the proposed method is extended to the analysis of a nonstationary queueing network of multi-rate loss queues. Comparisons with exact and simulation results showed that the results are consistently close to the exact results and they are always within simulation confidence intervals.

Keywords: Time-dependent; arrival; rate; Multi-rate; loss; queue; Multi-rate; network; of; loss; queues; Blocking; probability (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:196:y:2009:i:3:p:1015-1030

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