A fuzzy bulk queue with modified Bernoulli vacation and restricted admissible customers

Article type: Research Article

Authors: Kalyanaraman, R. | Thillaigovindan, N. | Kannadasan, G.

Affiliations: Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu, India

Note: [] Corresponding author. R. Kalyanaraman, Department of Mathematics, Annamalai University, Annamalainagar 608002, Tamil Nadu, India. E-mail: r.kalyan24@rediff.com

Abstract: A single server fuzzy queue with modified Bernoulli vacation is analyzed using a technique which is a fusion of Zadeh's extension principle (L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1 (1978), 3–28), α-cut approach and parametric non-linear programming. Batches of customers arrive at the system according to a compound Poisson process. But all arriving batches are not allowed to enter into the system. The restriction policy depends on availability or otherwise of the server. The system is analyzed in Fuzzy environment. Some special cases are discussed. A numerical study is also carried out.

Keywords: Bulk queue, Bernoulli vacation, membership function

DOI: 10.3233/IFS-120602

Journal: Journal of Intelligent & Fuzzy Systems, vol. 24, no. 4, pp. 837-845, 2013