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Abstract

Given a product design and a repair network, a level of repair analysis (lora) determines for each component in the product (1) whether it should be discarded or repaired upon failure and (2) at which echelon in the repair network to do this. The objective of the lora is to minimize the total (variable and fixed) costs. We propose an ip model that generalizes the existing models, based on cases that we have seen in practice. Analysis of our model reveals that the integrality constraints on a large number of binary variables can be relaxed without yielding a fractional solution. As a result, we are able to solve problem instances of a realistic size in a couple of seconds on average. Furthermore, we suggest some improvements to the lora analysis in the current literature.
Original languageUndefined
Place of Publicationonbekend
PublisherUniversity of Twente, Research School for Operations Management and Logistics (BETA)
Number of pages33
ISBN (Print)9789038612393
Publication statusPublished - 1 Feb 2008

Publication series

NameBeta Working Papers
PublisherBeta Research School for Operations Management and Logistics, University of Twente
No.232

Keywords

  • Level of repair analysis
  • Maintenance
  • IR-70231
  • METIS-247528
  • Integer Programming

Cite this

Basten, R. J. I., Schutten, J. M. J., & van der Heijden, M. C. (2008). Level of repair analysis: a generic model. (Beta Working Papers; No. 232). onbekend: University of Twente, Research School for Operations Management and Logistics (BETA).
Basten, Robertus Johannes Ida ; Schutten, Johannes M.J. ; van der Heijden, Matthijs C. / Level of repair analysis: a generic model. onbekend : University of Twente, Research School for Operations Management and Logistics (BETA), 2008. (Beta Working Papers; 232).
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abstract = "Given a product design and a repair network, a level of repair analysis (lora) determines for each component in the product (1) whether it should be discarded or repaired upon failure and (2) at which echelon in the repair network to do this. The objective of the lora is to minimize the total (variable and fixed) costs. We propose an ip model that generalizes the existing models, based on cases that we have seen in practice. Analysis of our model reveals that the integrality constraints on a large number of binary variables can be relaxed without yielding a fractional solution. As a result, we are able to solve problem instances of a realistic size in a couple of seconds on average. Furthermore, we suggest some improvements to the lora analysis in the current literature.",
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Basten, RJI, Schutten, JMJ & van der Heijden, MC 2008 'Level of repair analysis: a generic model' Beta Working Papers, no. 232, University of Twente, Research School for Operations Management and Logistics (BETA), onbekend.

Level of repair analysis: a generic model. / Basten, Robertus Johannes Ida; Schutten, Johannes M.J.; van der Heijden, Matthijs C.

onbekend : University of Twente, Research School for Operations Management and Logistics (BETA), 2008. (Beta Working Papers; No. 232).

Research output: Working paper

TY - UNPB

T1 - Level of repair analysis: a generic model

AU - Basten, Robertus Johannes Ida

AU - Schutten, Johannes M.J.

AU - van der Heijden, Matthijs C.

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PY - 2008/2/1

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N2 - Given a product design and a repair network, a level of repair analysis (lora) determines for each component in the product (1) whether it should be discarded or repaired upon failure and (2) at which echelon in the repair network to do this. The objective of the lora is to minimize the total (variable and fixed) costs. We propose an ip model that generalizes the existing models, based on cases that we have seen in practice. Analysis of our model reveals that the integrality constraints on a large number of binary variables can be relaxed without yielding a fractional solution. As a result, we are able to solve problem instances of a realistic size in a couple of seconds on average. Furthermore, we suggest some improvements to the lora analysis in the current literature.

AB - Given a product design and a repair network, a level of repair analysis (lora) determines for each component in the product (1) whether it should be discarded or repaired upon failure and (2) at which echelon in the repair network to do this. The objective of the lora is to minimize the total (variable and fixed) costs. We propose an ip model that generalizes the existing models, based on cases that we have seen in practice. Analysis of our model reveals that the integrality constraints on a large number of binary variables can be relaxed without yielding a fractional solution. As a result, we are able to solve problem instances of a realistic size in a couple of seconds on average. Furthermore, we suggest some improvements to the lora analysis in the current literature.

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KW - Integer Programming

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Basten RJI, Schutten JMJ, van der Heijden MC. Level of repair analysis: a generic model. onbekend: University of Twente, Research School for Operations Management and Logistics (BETA). 2008 Feb 1. (Beta Working Papers; 232).