Balking and reneging in multiserver Markovian queuing system

Amit Choudhury · Pallabi Medhi

47 citations0/0 files storedInternational Journal of Mathematics in Operational Research

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Advanced Queuing Theory Analysis Customer Service Quality and Loyalty Age of Information Optimization

Abstract

In the analysis of many queuing systems, it is assumed that customers who arrive stay on till they receive service. In real life, this does not always happen. We shall assume that customers may balk if service is not instantly available on arrival. Even if a customer joins the system, the customer may renege. In this paper, we consider a multi server Markovian queuing system where the customers may balk as well as renege. Explicit closed form expressions are presented. A numerical problem with design aspects has also been presented to demonstrate results derived.

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References

1984Single-server queues with impatient customers 1957Queuing with Impatient Customers and Ordered Service 1957Queuing with Impatient Customers and Indifferent Clerks 2009Transient solution of the M/M/c queue with balking and reneging 1977The Markovian Queue with Bounded Waiting time 2001M/M/1 Queue with Impatient Customers of Higher Priority 1999Cost analysis of the M/M/R machine repair problem with balking, reneging, and server breakdowns 2009Queueing models for full-flexible multi-class call centers with real-time anticipated delays

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2013Economic analysis of an M / M / c / N queuing model with balking, reneging and retention of reneged customers 2012An M/M/1/N Queueing Model with Retention of Reneged Customers and Balking 2015Balking and Reneging Multiple Working Vacations Queue with Heterogeneous Servers 2018Analysis of a busy period queuing system with balking, reneging and motivating 2023Performance analysis of a multi server retrial queueing system with unreliable server, discouragement and vacation model

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