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Control chart for number of customers in the system of M[X] / M / 1 Queueing system

T.Poongodi, Dr. (Mrs.) S.Muthulakshmi

Queueing models characterized by bulk arrival or bulk service of either fixed or variable sizes are commonly found in modelling of traffic and transportation systems, complex computer and telecommunication systems, inventory replenishment system and other real-life applications. Control chart technique enables to monitor the performance of these queues. Average queue length and average waiting time are the main observable performance characteristics of any queueing system. In this paper control limits are established for M[X] /M /1 queueing model when the batch size follows geometric distribution. Numerical results are added to highlight its applications.