Analysing Impatience in Multiserver Markovian Queues

Document Type : Research Paper


Department of Statistics, Gauhati University, Guwahati, Assam, India.


Reneging and Balking are practical aspects of customer impatience. In traditional queuing literature, customer impatience was rarely considered. However, for the last few decades, queuing theorists have been trying to integrate aspect of balking and reneging into modeling of queues. This paper is an extension of the work in the same direction. We consider a multi-server Markovian queuing model under the assumption that customers are state aware and the reneging rates increase as the state of the system goes up. We also assume that the customer may balk with balking probabilities proportional to the state of the system. Under this setup performance measures are derived and presented.


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