A discrete-time on-off source queueing system with negative customers
A discrete-time on-off source queueing system with negative customers
复制标题
具有负顾客的离散时间开关源排队系统
DOI：
10.1016/j.cie.2011.07.013
复制
发表时间：
2011-11-01
影响因子：
7.9
通讯作者：
Dai, Zhangmin
中科院分区：
文献类型：
--
作者：
Wang, Jinting;Huang, Yunbo;Dai, Zhangmin
This paper studies a discrete-time single-server infinite-capacity queueing system with correlated arrivals, geometrically distributed service times and negative customers. Positive customers are generated by a Bernoulli bursty source, with geometrically distributed lengths of the on-periods and off-periods. Negative customers arrive to the system according to a geometrical arrival process which is independent of the positive arrival process. A negative customer removes a positive customer in service if any, but has no effect on the system if it finds the system empty. We analyze the Markov chain underlying the queueing system and evaluate the performance of the system based on generating functions technique. Closed-form expressions of some performance measures of the system are obtained, such as stationary probability generating functions of queue length, unfinished work, sojourn time distribution and so on. Finally, the effect of several parameters on the system is shown numerically. (C) 2011 Elsevier Ltd. All rights reserved.
