IJE TRANSACTIONS A: Basics Vol. 15, No. 4 (November 2002) 349-354   

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M. Jain and G.C. Sharma

School of Mathematical Sciences, Institute of Basic Science
Khandari, Agra, 282002, India, madhujain@sancharnet.in - golsulchandra@sancharnet.in
( Received: July 02, 2000 – Accepted in Revised Form: October 25, 2001 )

Abstract    Waiting in long queue is undesirable due to which in some practical situations customers become impatient and leave the system. In such cases providing additional servers can reduce long queue. This investigation deals with multi-server queueing system with additional servers and discouragement. The customers arrive in poisson fashion and are served exponentially by a pool of permanent and additional servers on the basis of FCFS queue discipline. The explicit formula to determine the number of customers in the queue has been obtained. Numerical illustration has been provided to validate the analytical results established. Graphs are drawn for expected number of customers in the system and probability of all additional servers being busy in order to visualize the effect of various parameters.


Keywords    Multi-Server Queue, Finite Capacity, Additional Servers, Queue Size, Discouragement, Cost Analysis



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