• TRANSIENT AND NUMERICAL SOLUTION OF A BALKING QUEUEING MODEL WITH FEEDBACK AND HETEROGENEOUS SERVERS

P. C. GARG, NEELAM SINGLA*, TANVI JINDIA

Abstract


In this paper, the transient-state and numerical solution of an M/M/2 queue is found where the customers are arriving in Poisson fashion and are subject to balking. Servers are having different service rates with service times exponentially distributed.  The generating function of the time dependent queue length probabilities and the numerical solution for the system are derived and probabilities are plotted graphically. Some important special cases are also derived.


Keywords


Feedback, balking, heterogeneous servers, Laplace transformation, generating function.

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