Abstract
This paper studies the GI/G/1 queueing system in which no customer can stay longer than a fixed interval D. This is also a model for the dam with finite capacity, instantaneous water supply and constant release rule. Using analytical method together with the property that the queueing process ‘starts anew’ probabilistically whenever an arriving customer initiates a busy period, we obtain various transient and stationary results for the system.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference24 articles.
1. On fluctuation problems in the theory of queues
2. A single-server queue with limited virtual waiting time
3. On a linear transformation in the theory of probability;Takács;Acta. Sci. Math. (Szeged),1972
4. The limiting distribution of the virtual waiting time and the queue size for a single-server queue with recurrent input and general service times;Takács;Sankhyā A,1963
5. Regenerative stochastic processes
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献