Authors:
Sangeeta,Man Singh,Deepak Gupta,DOI NO:
https://doi.org/10.26782/jmcms.2024.11.00003Keywords:
Differential-difference equations,Exponential,Impatient behaviour,Poisson,Probabilities,Queue discipline,Service channels,Steady-state,Urgent message,Waiting space,Abstract
This research primarily presents a model involving R-serial service channels connected to S non-serial service channels. Feedback mechanisms are applied to the serial queues, while balking and reneging behaviors, triggered by urgent calls/messages or customer impatience, are analyzed in both serial and non-serial queues. After developing the queuing model, the system’s differential-difference equations are formulated in a compact form, and their solutions are derived by reducing them to the steady-state form for unlimited waiting capacity. Marginal probabilities and mean queue lengths are calculated to evaluate the system's performance in this scenario.Refference:
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