On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands

Khaniyev, Tahir; GÖKPINAR, FİKRİ; Hanalioglu, Tagi; TÜRKŞEN, İSMAİL

doi:10.1007/s40995-017-0363-1

On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands

Atıf İçin Kopyala

Khaniyev T., GÖKPINAR F., Hanalioglu T., TÜRKŞEN İ. B.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.42, ss.2035-2043, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 42
Basım Tarihi: 2018
Doi Numarası: 10.1007/s40995-017-0363-1
Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2035-2043
Gazi Üniversitesi Adresli: Evet

Özet

In this study, we consider a fuzzy inventory model of type (s,S) with random demands having an inverse Gaussian distribution. We first show the monotonicity of the renewal function with respect to mean parameter. Thus we obtain the membership function of the fuzzy renewal function when the amount of demands is a random variable having an inverse Gaussian distribution with a fuzzy mean parameter by using the monotonicity property of renewal function. Making use of the membership function of the renewal function, we obtain the membership function of the fuzzy ergodic distribution of this process. We also present some numerical results obtained by using this membership function.