Title: Interval optimality analysis in Erlang bulk arrival model in fuzzy environment

Authors: S. Bhuvaneswari; B. Rameshkumar; S. Murugesan

Addresses: Sree Sowdambika College of Engineering, Aruppukottai, Tamil Nadu, India ' Sree Sowdambika College of Engineering, Aruppukottai, Tamil Nadu, India ' Sri. S. Ramasamy Naidu Memorial College, Sattur, Tamil Nadu, India

Abstract: In this paper, we propose a methodology to analyse the best arrival of K-phase Erlang distribution in fuzzy environment. We consider the queue parameters as triangular fuzzy numbers. At first, we construct the inverse membership of the steady state performance measures. Second, we construct the pairs of MINLP to calculate the lower and upper bound of the performance measure at the different possibility level of α via Zadeh extension principle. We analyse the interval of the best arrival optimality using testing of hypothesis. A numerical example is illustrated.

Keywords: fuzzy set; MINLP; K-phase Erlang distribution; chi-square distribution.

DOI: 10.1504/IJFCM.2017.089445

International Journal of Fuzzy Computation and Modelling, 2017 Vol.2 No.3, pp.240 - 251

Received: 21 Feb 2017
Accepted: 06 Jun 2017
Published online: 24 Jan 2018 *

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