ASYMPTOTIC RESULTS FOR THE ERGODIC DISTRIBUTION OF AN INVENTORY MODEL WITH FUZZY DEMANDS

Khaniyev T., Aksop C., Gever B.

10th International Conference on Fuzzy Logic and Intelligent Technologies in Nuclear Science (FLINS), İstanbul, Turkey, 26 - 29 August 2012, vol.7, pp.436-441, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 7
  • Doi Number: 10.1142/9789814417747_0070
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.436-441
  • Gazi University Affiliated: No

Abstract

In this paper, a renewal-reward process which represents a fuzzy inventory model of type (s, S) with a discrete interference of chance is investigated. By utilizing the expression of the ergodic distribution of this process in terms of a fuzzy renewal function, asymptotic expansions for the alpha-cuts of this ergodic distribution is obtained when the interferences have a Weibull distribution with a fuzzy parameter.