Interval availability analysis of a two-echelon, multi-item system

Ahmad Al Hanbali, Matthijs C. van der Heijden

Research output: Working paper

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In this paper we analyze the interval availability of a two-echelon, multi-item spare part inventory system. We consider a scenario inspired by a situation that we encountered at Thales Netherlands, a manufacturer of naval sensors and naval command and control systems. Modeling the complete system as a Markov chain we analyze the interval availability 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 of the distribution function below the mean value. The latter points are practically most relevant
Original languageEnglish
Place of PublicationEindhoven, The Netherlands
PublisherBETA Research School
Number of pages34
Publication statusPublished - 2011

Publication series

NameBETA working paper
PublisherBETA Research School


  • IR-78321
  • METIS-284429
  • Markov Processes
  • Inventory
  • Interval availability
  • Service Logistics
  • Reliability
  • Supply chain management


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