Exact and Approximate Analysis of Multi-Echelon, Multi-Indenture Spare Parts Systems with Commonality

Rustenburg, W.D.; Houtum, G.J.J.A.N. van; Zijm, Willem H.M.

doi:10.1007/978-1-4615-0373-6_7

Cited by 26 publications

(31 citation statements)

References 25 publications

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“…In this subsection, we summarize this method for our system (we follow the formulae of Rustenburg et al [11], in which Graves' exact recursion has been generalized to general multi-echelon, multi-indenture systems). , the probability distribution of …”

Section: Discussionmentioning

confidence: 99%

“…He reported the improvement of the negative binomial approximation over the METRIC approximation. Graves' exact and approximate method has been extended to multi-echelon, multi-indenture systems by Rustenburg et al [11]. Muckstadt and Thomas [10] extended the METRIC model by allowing emergency replenishments in case of stock-out situations at the central or local warehouses.…”

Section: Introductionmentioning

confidence: 99%

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Efficient heuristics for two-echelon spare parts inventory systems with an aggregate mean waiting time constraint per local warehouse

Wong

Kranenburg²,

Houtum

et al. 2007

OR Spectrum

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Please check the document version of this publication:• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement: www.tue.nl/taverne Take down policy If you believe that this document breaches copyright please contact us at: openaccess@tue.nl providing details and we will investigate your claim. Abstract: This paper presents solution procedures for determining close-to-optimal stocking policies in a multi-item two-echelon spare parts inventory system. The system we consider consists of a central warehouse and a number of local warehouses, and there is a target for the aggregate mean waiting time per local warehouse. We develop four different heuristics and derive a lower bound on the optimal total cost. The effectiveness of each heuristic is assessed by measuring the relative gap between the heuristic's total cost and the lower bound. The results of the computational experiments show that a greedy procedure performs most satisfactorily. It is accurate as indicated by relatively small gaps, easy to implement, and furthermore, the computational requirements are limited. The computational efficiency can be increased by using Graves' approximate evaluation method instead of an exact evaluation method, while the results remain accurate.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Efficient heuristics for two-echelon spare parts inventory systems with an aggregate mean waiting time constraint per local warehouse

Wong

Kranenburg²,

Houtum

et al. 2007

OR Spectrum

Self Cite

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“…For example, Wang et al (2000) developed a two-level repairable inventory system where, the lead time for replenishment was considered probabilistic. Rustenburg et al (2003) developed an exact model for a multi-level problem and then, Wong et al (2005) developed an analytical model to determine the optimal inventory levels of spare parts in a repairable item inventory system with considering several plants and distributors and assuming the multi-product mode. Andersson and Melehiors (2001) presented a two-level model with a central warehouse and several retailers that customers' demand for the retailers considered probabilistic and follows the Poisson distribution.…”

Section: Literature Reviewmentioning

confidence: 99%

Developing a location-inventory-routing model using METRIC approach in inventory policy

Habibi¹,

Asadi²,

Sadjadi³

2017

10.5267/j.uscm

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Locating, routing and inventory control in production and distribution centers are the most important decisions in supply chain management. Because of the dependence of these decisions to each other, considering these three aspects simultaneously can have a huge impact on cost reduction. In this study, first, a location-inventory model is developed by utilizing METRIC approach and then, METRIC approach is applied to the location-inventory-routing model. The intended supply chain includes a supplier, distributors and retailers, and the inventory control policy is implemented for both the distributors and retailers. Retailers' demand follows Poisson distribution and the lead-time is also considered probabilistic and is affected by the shortage in distribution centers. Given that the presented model belongs to the class of NP-hard problems, a hybrid metaheuristic solution method is also presented to solve the resulted problem. The proposed hybrid metaheuristic algorithm contains a Simulated Annealing algorithm, to optimize the location-routing problem, and a Genetic Algorithm, to optimize the inventory problem. Also, to evaluate the performance of hybrid algorithm, a comparison between the results of the proposed hybrid algorithm and the exact solutions obtained from Lingo software is provided and, finally, the results are analyzed.Growing Science Ltd. All rights reserved. 7

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“…Such savings may be achieved when there are large cost differences between the various components. Rustenburg et al (2001Rustenburg et al ( , 2003 study spare parts models for a two-echelon network at the Royal Netherlands Navy and compare the item approach that was in use at that time with the system approach. Rustenburg et al (2003, p.172) show that for one system, spare parts holding costs would reduce with about 60% under the system approach, while attaining a slightly higher spare parts availability; for another system, the spare parts holding costs would reduce by 9%, while bringing the availability up from 56% to 90%.…”

Section: Introductionmentioning

confidence: 99%

System-oriented inventory models for spare parts

Basten

Houtum

2014

Surveys in Operations Research and Management Science

125

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Exact and Approximate Analysis of Multi-Echelon, Multi-Indenture Spare Parts Systems with Commonality

Cited by 26 publications

References 25 publications

Efficient heuristics for two-echelon spare parts inventory systems with an aggregate mean waiting time constraint per local warehouse

Efficient heuristics for two-echelon spare parts inventory systems with an aggregate mean waiting time constraint per local warehouse

Developing a location-inventory-routing model using METRIC approach in inventory policy

System-oriented inventory models for spare parts

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