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Queueing problems are most common features not only in our dailylife situations such as bank
counters, post offices, ticket booking centres, public transportation systems, but also in more technical
environments such as in manufacturing, computer networking and telecommunications. For any queueing
system average queue length, average system length, average waiting time in the queue and average
waiting time in the system are the main observable performance characteristics. Control chart is a graph
used to study how a process changes over time and it is also used to control ongoing processes. In this
paper control limits are established to study the behavior of Ek
/M /1 queueing model using the
performance characteristics. Numerical results are given to highlight its applications.
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