Abstract:
In this paper, we study a Markovian multiple-server queuing system with reverse balking and reneging. Reverse balking is a recently added concept in queuing theory, introduced by Jain et al. (2014). Reverse balking states that probabilistic decision of joining or not joining a queue by an arrival depends on the system size. Higher is the system size, more the probability of joining the system. On the other hand, the customers may get impatient due to excess wait for their service. The impatient customers may decide to abandon the queue without receiving the service (called as reneging). Keeping the key concepts of reverse balking and reneging in view, we develop a multiple-server queuing system with reverse balking and reneging. The stationary probabilities of system size are obtained using iterative method. The performance measures like average system size, average rate of reneging, and average rate of reverse balking are obtained. Finally, the sensitivity analysis of the model is carried out.
Page(s):
91-101
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics, Volume: 36, Issue: 2, Year: 2020
Keywords:
reneging
,
Multipleserver Queuing System
,
Sensitivity Analysis
,
Reverse Balking