Queue Model Simulation of M/M/1 with Retention of Reneged Customers and Balking

Michelin Wara J, Dodi Devianto, Ferra Yanuar


An impatience on customers towards a line can be solved with a queue theory. By this matter, this article gives the queue model simulation of M/M/1 with the retention of reneged customers and balking. The retention of reneged customers is a customer who is impatient (reneged) but staying in a line to wait to be served (retention), while balking is the behavior of customers who are reluctant to enter the queue when they arrive. A simulation is conducted by generating data which meets the queue model of M/M/1 with retention of reneged customers and balking, and then takes a number of variations in the value of system capacity (N). The purpose of the simulation is to see the effect of system capacity on various measures of system effectiveness. The result shows that, in this queue model, the greater the capacity system, the smaller the measure of system effectiveness.


Queuing, Reneging, Retention, Balking, Steady State Solutions, System Capacity.

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