Nonstationary Analysis of Loss Queue and of Queueing Networks of Loss Queues

Journal Article

Alnowibet, Khalid . 2011

• نوع عمل المنشور: Research Paper
• المجلة \ الصحيفة: European Journal of OR
• رقم العدد: Issue 3
• رقم الإصدار السنوي: Volume 196
• الصفحات: Pages 1015–1030

مستخلص المنشور

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.