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Markovian multiechelon repairable inventory system
Author(s) -
Albright S. Christian,
Soni A.
Publication year - 1988
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198802)35:1<49::aid-nav3220350105>3.0.co;2-u
Subject(s) - markov process , computer science , base (topology) , mathematical optimization , aggregate (composite) , markov chain , markov model , state (computer science) , algorithm , mathematics , statistics , machine learning , mathematical analysis , materials science , composite material
In this article we model a two‐echelon (two levels of repair, one level of supply) repairable‐item inventory system using continuous‐time Markov processes. We analyze two models. In the first model we assume a system with a single base. In the second model we expand this model to include n bases. The Markov approach gives rise to multidimensional state spaces that are large even for relatively small problems. Because of this, we utilize aggregate/disaggregate techniques to develop a solution algorithm for finding the steady‐state distribution. This algorithm is exact for the single‐base model and is an approximation for the n ‐base model, in which case it is found to be very accurate and computationally very efficient.