A STUDY ON (M/M/1): (N/FCFS) QUEUEING MODEL UNDER MONTE CARLO SIMULATION IN BANKS

Author (s) : Dr.P.Umarani, Mr.T.Sakthivel, A.MalarSelvi, R.Krithika

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Abstract :
In this study, researchers explore a queueing model with a single server, where the system capacity is limited to N. The data used for analysis are gathered from banks, focusing on arrival and service patterns. To assess the goodness of fit in arrival and service distribution, a Chi-square test is employed, ensuring the accuracy of the model's representation of real-world scenarios. In order to analyze the queue length, researchers employ the Monte Carlo Simulation method, a powerful technique for approximating complex systems. By using this simulation approach, they can better understand the behavior of the queue and predict various performance metrics, such as wait times and queue lengths, under different scenarios. The study compares the results obtained from the Monte Carlo Simulation with analytical methods to validate the simulation's accuracy and reliability. By contrasting the simulation outcomes with analytical predictions, researchers gain insights into the effectiveness and applicability of the proposed model. This research holds significance for banks and other service industries as it enables them to optimize their systems and enhance customer experiences by better understanding and managing queuing dynamics.

Keywords : Arrival, Service, System Capacity, (M/M/1): (N/FCFS) queueingmodel,Monte Carlo Simulation, Queue length, Chi-square test.

Conference Date : 13/11/2020

Pages : 32

Paper ID : 20032