Authors:
Ahmad Al Hanbali
and
Mattieu van der Heijden
Affiliation:
University of Twente, Netherlands
Keyword(s):
Inventory, Spare Parts, Markov Processes, Supply Chain Management, Interval Availability.
Related
Ontology
Subjects/Areas/Topics:
Applications
;
e-Business
;
Enterprise Information Systems
;
Industrial Engineering
;
Logistics
;
Maintenance
;
Methodologies and Technologies
;
Operational Research
;
Pattern Recognition
;
Software Engineering
;
Stochastic Processes
Abstract:
In this paper we analyze the interval availability of a two-echelon, multi-item system. Modeling the system as a Markov chain we analyze the interval availability of the system. We compute in closed and exact form the expectation and, the variance of the availability during a finite time interval [0,T]. We use these characteristics together with the probability that interval availability is equal to one to approximate the survival function using a Beta distribution. Comparison of our approximation with simulation shows excellent accuracy, especially for points that are practically most relevant.