fuzzy queueing model using dsw algorithm
R. Srinivasan,
Published in International Journal of Advanced Research in Mathematics and Applications
ISSN: 2350-028X Impact Factor:1.2 Volume:1 Issue:1 Year: 08 January,2014 Pages:57-62
Abstract
This paper proposes a procedure to construct the membership functions of the performance measures in queueing systems where the interarrival time and service time are Fuzzy numbers. We propose a Fuzzy nature in FM/FM/1 queueing system with finite capacity and calling population are infinite. Approximate method of extension namely DSW(Dong, Shah & Wong) algorithm is used to define membership functions of the performance measures for the Queueing model FM/FM/1 in which the arrival rate and service rate are Fuzzy numbers. DSW algorithm is based on the α – cut representation of fuzzy sets in a standard interval analysis. The discussion of this paper is confined to systems with the Fuzzy variables. Numerical example shows the efficiency of the algorithm.
Kewords
Queueing theory, α - cut, Membership function, DSW algorithm
Reference
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