Analyzing state-dependent arrival in GI/BMSP/1/∞ queues

被引：9

作者：

Banik, A. D. ^{[1
]}

机构：

[1] Indian Inst Technol, Sch Basic Sci, Bhubaneswar 751013, Orissa, India

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 5-6期

关键词：

Batch Markovian service process; General independent arrival; Queue; Infinite buffer; State-dependent inter-arrival time;

D O I：

10.1016/j.mcm.2010.12.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider an infinite-buffer single-server queue with renewal input. The service to the queueing system is provided in batches of random size, according to a batch Markovian service process (BMSP). The queue length distribution of the number of customers in the system at pre-arrival and arbitrary epochs has been obtained along with some important performance measures, such as the mean number of customers in the system and the mean system sojourn time of a customer. Secondly, we study a similar queueing system with queue-length-dependent inter-arrival times and obtain the above-mentioned state probabilities and performance measures. These queueing models have potential applications in the areas of computer networks, telecommunication systems, manufacturing systems, etc. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1229 / 1246

页数：18

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