Approximation Method for Obtaining Availability of a Two-Echelon Repair System with Priority Resupply

Yosuke AIZU; Tetsushi YUGE; Shigeru YANAGI

doi:10.1587/transfun.E98.A.1077

IEICE TRANSACTIONS on Fundamentals

Approximation Method for Obtaining Availability of a Two-Echelon Repair System with Priority Resupply

Yosuke AIZU, Tetsushi YUGE, Shigeru YANAGI

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We propose a reality-based model of a two-echelon 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 k-out-of-n: 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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.5 pp.1077-1084

Publication Date: 2015/05/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E98.A.1077

Type of Manuscript: PAPER

Category: Reliability, Maintainability and Safety Analysis

Authors

Yosuke AIZU
  Department of Electrical and Electronic Engineering of the National Defense Academy
Tetsushi YUGE
  Department of Electrical and Electronic Engineering of the National Defense Academy
Shigeru YANAGI
  Department of Electrical and Electronic Engineering of the National Defense Academy

Keyword

two-echelon, priority resupply, emergency order, k-out-of-n, approximation method

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Yosuke AIZU, Tetsushi YUGE, Shigeru YANAGI, "Approximation Method for Obtaining Availability of a Two-Echelon Repair System with Priority Resupply" in IEICE TRANSACTIONS on Fundamentals, vol. E98-A, no. 5, pp. 1077-1084, May 2015, doi: 10.1587/transfun.E98.A.1077.
Abstract: We propose a reality-based model of a two-echelon 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 k-out-of-n: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.1077/_p

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@ARTICLE{e98-a_5_1077,
author={Yosuke AIZU, Tetsushi YUGE, Shigeru YANAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Approximation Method for Obtaining Availability of a Two-Echelon Repair System with Priority Resupply},
year={2015},
volume={E98-A},
number={5},
pages={1077-1084},
abstract={We propose a reality-based model of a two-echelon 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 k-out-of-n: 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.},
keywords={},
doi={10.1587/transfun.E98.A.1077},
ISSN={1745-1337},
month={May},}

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TY - JOUR
TI - Approximation Method for Obtaining Availability of a Two-Echelon Repair System with Priority Resupply
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1077
EP - 1084
AU - Yosuke AIZU
AU - Tetsushi YUGE
AU - Shigeru YANAGI
PY - 2015
DO - 10.1587/transfun.E98.A.1077
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2015
AB - We propose a reality-based model of a two-echelon 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 k-out-of-n: 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.
ER -

IEICE TRANSACTIONS on Fundamentals