Sangam: A Confluence of Knowledge Streams

The incorporation of fixed cost and multilevel capacities into the discrete and continuous single source capacitated facility location problem

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dc.creator Irawan, CA
dc.creator Luis, M
dc.creator Salhi, S
dc.creator Imran, A
dc.date 2018-11-22T15:07:47Z
dc.date 2018-08-23
dc.date.accessioned 2022-05-27T01:02:50Z
dc.date.available 2022-05-27T01:02:50Z
dc.identifier Vol. 275 (2), pp. 367–392
dc.identifier 10.1007/s10479-018-3014-9
dc.identifier http://hdl.handle.net/10871/34879
dc.identifier 0254-5330
dc.identifier Annals of Operations Research
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/241912
dc.description This is the author accepted manuscript. The final version is available from Springer via the DOI in this record
dc.description In this study we investigate the single source location problem with the presence of several possible capacities and the opening (fixed) cost of a facility that is depended on the capacity used and the area where the facility is located. Mathematical models of the problem for both the discrete and the continuous cases using the Rectilinear and Euclidean distances are produced. Our aim is to find the optimal number of open facilities, their corresponding locations, and their respective capacities alongside the assignment of the customers to the open facilities in order to minimise the total fixed and transportation costs. For relatively large problems, two solution methods are proposed namely an iterative matheuristic approach and VNS-based matheuristic technique. Dataset from the literature is adapted to assess our proposed methods. To assess the performance of the proposed solution methods, the exact method is first applied to small size instances where optimal solutions can be identified or lower and upper bounds can be recorded. Results obtained by the proposed solution methods are also reported for the larger instances.
dc.description The third author is supported in part by the Spanish Ministry of Economy and Competitiveness Research Project MTM2015-70260-P.
dc.language en
dc.publisher Springer
dc.rights © Springer Science+Business Media, LLC, part of Springer Nature 2018
dc.rights 2019-08-23
dc.rights Under embargo until 23 August 2019 in compliance with publisher policy
dc.subject Discrete and continuous capacitated location
dc.subject Opening fixed cost
dc.subject Mathematical formulation
dc.subject Matheuristic
dc.subject VNS
dc.title The incorporation of fixed cost and multilevel capacities into the discrete and continuous single source capacitated facility location problem
dc.type Article


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