Ergodic distribution for a fuzzy inventory model of type (s, S) with gamma distributed demands

Xanıyev T., Turksen I. B., GÖKPINAR F., Gever B.

Expert Systems with Applications, vol.40, no.3, pp.958-963, 2013 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Abstract
  • Cild: 40 Say: 3
  • Nəşr tarixi: 2013
  • Doi nömrəsi: 10.1016/j.eswa.2012.05.053
  • jurnalın adı: Expert Systems with Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.958-963
  • Açar sözlər: Ergodic distribution, Fuzzy inventory model of type (s, S), Fuzzy renewal function, Gamma distribution with fuzzy parameter
  • Adres: Bəli

Qısa məlumat

In this study, a stochastic process (X(t)), which describes a fuzzy inventory model of type (s, S) is considered. Under some weak assumptions, the ergodic distribution of the process X(t) is expressed by a fuzzy renewal function U(x). Then, membership function of the fuzzy renewal function U(x) is obtained when the amount of demand has a Gamma distribution with fuzzy parameters. Finally, membership function and alpha cuts of fuzzy ergodic distribution of this process is derived by using extension principle of L. Zadeh. © 2012 Elsevier Ltd. All rights reserved.