An analysis on Kendall Lee queueing system with non-preemptive priority at BRI Ahmad Dahlan Yogyakarta

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S.D. Ayuningtyas, N. Binatari

2018 Journal of Physics: Conference Series Vol. 943 Issue 1 Conference paper Cited by 0

Abstract

This research was aimed to determine the Kendall Lee model, measure the Performances and analyze the optimal condition of queue at tellers line at BRI Unit K.H Ahmad Dahlan Yogyakarta. First, the model was constructed based on Kendall Lee in which the parameter values were obtained from the fitness test of the data distribution. Next, the Performances measurements were counted using Little's Formula while the optimal condition was hold based on the total cost. Since the addition of the number of servers will influence the total cost, the optimal condition is reached for a number of servers with lowest total cost and satisfying steady state condition. The result shows that the queue system in teller counter at BRI Ahmad Dahlan Yogyakarta uses M/M/2 model with non-preemptive service distribution. The optimum number of the server due to its total cost was found to be two servers. By these, it could be concluded that the system has been using optimal condition. © Published under licence by IOP Publishing Ltd.

Affiliations

Department of Mathematics Education, Faculty of Mathematics and Natural Science, Yogyakarta State University, Jl Colombo No.1, Depok Karangmalang Sleman Yogyakarta, Indonesia