Analysis of Discrete-Time Single Server Queue with Balking and Multiple Working Vacations

作者：Laxmi P Vijaya^*; Goswami V; Jyothsna K

来源：Quality Technology and Quantitative Management, 2013, 10(4): 443-456.

DOI：10.1080/16843703.2013.11673424

• Balking
• cost
• discrete-time
• finite buffer
• working vacations

This paper analyzes a discrete-time single server queueing system with balking and multiple working vacations. The arriving customers balk (that is, do not join the queue) with a probability. The inter-arrival times of customers are assumed to be independent and geometrically distributed. The server works at a different rate rather than completely stopping service during vacations. The service times during a service period, service times during a vacation period and vacation times are assumed to be geometrically distributed. We obtain the closed form expressions for the steady-state probabilities at arbitrary and outside observer's observation epochs. Computational experiences with a variety of numerical results are discussed in the form of tables and graphs. Moreover, some queueing models discussed in the literature are derived as special cases of our model.

• 出版日期2013-12