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An approximation to the stationary distribution of a multiechelon repairable‐item inventory system with finite sources and repair channels
Author(s) -
Albright S. Christian
Publication year - 1989
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(198904)36:2<179::aid-nav3220360206>3.0.co;2-d
Subject(s) - metric (unit) , computer science , mathematical optimization , stationary distribution , distribution (mathematics) , principal (computer security) , mathematics , operations research , statistics , operations management , markov chain , engineering , mathematical analysis , operating system
We consider a multiechelon repairable‐item inventory system where several bases are supported by a central depot. Unlike METRIC‐based models, there are only a finite number of repairmen at each base and the depot, and the failure rates at the bases depend on the current number of items online. The principal objective of this article is to develop a quick and accurate approximation to the steady‐state distribution of this system. A secondary objective is to compare the solution of this system with a comparable METRIC solution.