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Approximation Method for Obtaining Availability of a TwoEchelon Repair System with Priority Resupply
Yosuke AIZU Tetsushi YUGE Shigeru YANAGI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E98A
No.5
pp.10771084 Publication Date: 2015/05/01
Online ISSN: 17451337
DOI: 10.1587/transfun.E98.A.1077
Type of Manuscript: PAPER Category: Reliability, Maintainability and Safety Analysis Keyword: twoechelon, priority resupply, emergency order, koutofn, approximation method,
Full Text: PDF(2MB)>>
Summary:
We propose a realitybased model of a twoechelon repair system with “priority resupply” and present a method for analyzing the availability of the system operated in each base. The two echelon repair system considered in our model consists of one repair station, called depot, and several bases. In each base, n items which constitute a koutofn: G system, called k/n system, are operated. Each item has two failure modes, failures repaired at a base (level 1) and failures repaired at the depot (level 2). When a level 2 failure occurs in a base, either a normal order or an emergency order of a spare item is issued depending on the number of operating items in the base. The spare item in the depot is sent preferentially to the base where the emergency order is placed. We propose two models, both including priority resupply. Firstly, we propose an approximation method for analyzing the basic model where a k/n system is operated in a base. Using a simulation method, we verify the accuracy of our approximation method. Secondly, we expand the basic model to a dual k/n system where the items of the system are interchangeable between two k/n systems in the case of an emergency, which is called “cannibalization”. Then, we show a numerical example and discuss the optimal timing for placing an emergency order.

