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

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 ob...

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Veröffentlicht in:	Expert systems with applications 2013-02, Vol.40 (3), p.958-963
Hauptverfasser:	Khaniyev, Tahir, Turksen, I. Burhan, Gokpinar, Fikri, Gever, Basak
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Ergodic distribution Ergodic processes Exact sciences and technology Fluctuation phenomena, random processes, noise, and brownian motion Fuzzy Fuzzy inventory model of type (s, S) Fuzzy logic Fuzzy renewal function Fuzzy set theory Gamma distribution with fuzzy parameter Inventories Inventory control, production control. Distribution Marketing Mathematical models Operational research and scientific management Operational research. Management science Physics Statistical physics, thermodynamics, and nonlinear dynamical systems Stockpiling
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Beschreibung
Zusammenfassung:	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.
ISSN:	0957-4174 1873-6793
DOI:	10.1016/j.eswa.2012.05.053