Investigation of fuzzy inventory model of type (s, S) with Nakagami distributed demands

Article type: Research Article

Authors: Turksen, I. Burhan^{a; b} | Khaniyev, Tahir^{a; c; *} | Gokpinar, Fikri^d

Affiliations: [a] Department of Industrial Engineering, TOBB University of Economics and Technology, Sogutozu, Ankara, Turkey | [b] Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada | [c] Institute of Cybernetics of Azerbaijan National Academy of Sciences, AZ, Baku, Azerbaijan | [d] Department of Statistics, Gazi University, Teknikokullar, Ankara, Turkey

Correspondence: [*] Correspondence to: Tahir Khaniyev, Department of Indus-trial Engineering, TOBB University of Economics and Technology,06560 Sogutozu, Ankara, Turkey. Tel.: +90 312 292 4272; Fax: +90 312 292 4091; [email protected]

Abstract: In this study, a fuzzy inventory model of type (s, S) is considered under Nakagami distribution of demands. We first obtain the membership function of the fuzzy renewal function when the amount of demand has Nakagami distribution with a fuzzy spread parameter. By using fuzzy renewal function, we obtain the fuzzy ergodic distribution of this process. Also some numerical results are obtained with the use of this membership function.

Keywords: Fuzzy inventory model of type (s, S), Nakagami distribution of demands, fuzzy renewal function, fuzzy ergodic distribution

DOI: 10.3233/IFS-141309

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 2, pp. 531-538, 2015