Queueing System with Finite Capacity Using Iterative Method

Appiled mathematics, O.R.

This paper describes and analyzes of single queue, multi-server with limited system capacity under first come first served discipline using iterative method. The arrivals of customers and service times of customers are assumed Poisson and exponential distributions respectively. This queuing model is an extension of single queue, single server with limited system capacity. Performance measures of the model, such as the expected number of customers in the queue and in the system, the expected waiting times of customers in the queue and in the system respectively were derived. The performance measures so derived were compared with that of single queue, single server with limited capacity {M/M/1 : ( N/FCFS)} model.

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