Affiliation:
1. Department of Statistics, Gauhati University
Abstract
Queuing models where arrival rates go down consequent to increase in the number of customers are called systems with discouraged arrivals. Discouraged arrivals are distinct from balking in the sense that balking implies that arriving customers do not join. In this paper, we model a single server finite buffer Markovian queuing model with discouraged arrival, balking, reneging and retention of reneged customers. The steady state probabilities are obtained using Markov process method. Closed form expression of traditional as well as some freshly designed performance measures are presented. We also perform sensitivity analysis to examine the variations in performance measures with the variations in system parameters. Our results are numerically illustrated through a field level problem with design connotations.
Publisher
National Library of Serbia
Subject
Management Science and Operations Research
Reference25 articles.
1. F.A. Haight, “Queuing with Balking”, Biometrika, vol. 44, pp. 360-369, 1957.
2. P. Medhi, and A. Choudhury, “Aspects of Impatience in a Finite Buffer Queue”, RAIRO Operations Research, vol. 46, pp. 189-209, 2012.
3. A.A. Bouchentouf, and A. Messabihi, “Heterogeneous two server queuing system with reverse balking and reneging”, OPSERCH, vol. 55, pp. 251-267, 2018.
4. R. Kumar, and S.K. Sharma, “A multi-server Markovian queuing system with discouraged arrivals and retention of reneged customers”, International Journal of Operations research, vol. 9, pp. 173-184, 2012.
5. B. Natvig, “On a queueing model where potential customers are discouraged by queue length”, Scandinavian Journal of Statistics, vol. 2, pp. 34-42, 1975.
Cited by
1 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