Volume : IV, Issue : I, January - 2015

Cost Measures Of Fuzzy Batch Arrival Queuing Model By Ranking Function Method

R. Ramesh, S. Kumara Ghuru

Abstract :

In this paper we express a procedure to find the various performance measures in terms of crisp values for the total expected cost of fuzzy batch arrival queuing model where the arrival rate, service rate, batch size, service cost and holding costs are all fuzzy numbers. Here the inter arrival time, service time, batch size, service cost and holding costs are Triangular and also Trapezoidal fuzzy numbers. Our idea is to convert the fuzzy inter arrival rate, service rate, batch size, service cost and holding costs into crisp values by applying ranking function method. Then apply the crisp values in the classical queuing performance measure formulas. Also we find moderate and optimistic values by using the normalized and non-normalized fuzzy numbers. Ranking fuzzy numbers plays a huge role in decision making under fuzzy environment. This ranking method is most reliable method, simple to apply and can be used for all types of queuing problems.

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

R. Ramesh,S. Kumara Ghuru Cost Measures Of Fuzzy Batch Arrival Queuing Model By Ranking Function Method International Journal of Scientific Research, Vol : 4, Issue : 1 January 2015

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