The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods
The continuous single-source capacitated multi-facility Weber problem (SSCMFWP) where setup cost of opening facilities is taken into account is investigated. The aim is to locate a set of facilities on the plane, to define their respective capacities which can be linked to the configuration of the p...
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| Format: | Article |
| Language: | English |
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Springer
2019
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| Online Access: | https://eprints.nottingham.ac.uk/59777/ |
| _version_ | 1848799673459933184 |
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| author | Irawan, Chandra Ade Salhi, Said Soemadi, Kusmaningrum |
| author_facet | Irawan, Chandra Ade Salhi, Said Soemadi, Kusmaningrum |
| author_sort | Irawan, Chandra Ade |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The continuous single-source capacitated multi-facility Weber problem (SSCMFWP) where setup cost of opening facilities is taken into account is investigated. The aim is to locate a set of facilities on the plane, to define their respective capacities which can be linked to the configuration of the processing machines used, and to allocate customers to exactly one facility with the objective being the minimisation of the total transportation and setup costs. A new nonlinear mathematical model based on the SSCMFWP is introduced where Rectilinear and Euclidean distances are used. Efficient metaheuristic approaches based on Variable Neighbourhood Search (VNS) and Simulated Annealing (SA) are also developed. The proposed metaheuristics incorporate an exact method and the commonly used Cooper’s alternate location-allocation method. We also constructed a new data set to reflect the characteristic of this particular location problem as no data set is available in the literature. Computational experiments show that the proposed metaheuristics generate interesting results for this class of continuous location problems. |
| first_indexed | 2025-11-14T20:39:24Z |
| format | Article |
| id | nottingham-59777 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:39:24Z |
| publishDate | 2019 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-597772020-02-28T03:24:52Z https://eprints.nottingham.ac.uk/59777/ The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods Irawan, Chandra Ade Salhi, Said Soemadi, Kusmaningrum The continuous single-source capacitated multi-facility Weber problem (SSCMFWP) where setup cost of opening facilities is taken into account is investigated. The aim is to locate a set of facilities on the plane, to define their respective capacities which can be linked to the configuration of the processing machines used, and to allocate customers to exactly one facility with the objective being the minimisation of the total transportation and setup costs. A new nonlinear mathematical model based on the SSCMFWP is introduced where Rectilinear and Euclidean distances are used. Efficient metaheuristic approaches based on Variable Neighbourhood Search (VNS) and Simulated Annealing (SA) are also developed. The proposed metaheuristics incorporate an exact method and the commonly used Cooper’s alternate location-allocation method. We also constructed a new data set to reflect the characteristic of this particular location problem as no data set is available in the literature. Computational experiments show that the proposed metaheuristics generate interesting results for this class of continuous location problems. Springer 2019-12-06 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/59777/1/The%20continuous%20single-source%20capacitated%20multi-facility%20Weber%20problem%20with%20setup%20costs%20formulation%20and%20solution%20methods.pdf Irawan, Chandra Ade, Salhi, Said and Soemadi, Kusmaningrum (2019) The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods. Journal of Global Optimization . ISSN 0925-5001 Location on the plane; Setup cost; Single-source; VNS; Simulated Annealing http://dx.doi.org/10.1007/s10898-019-00862-2 doi:10.1007/s10898-019-00862-2 doi:10.1007/s10898-019-00862-2 |
| spellingShingle | Location on the plane; Setup cost; Single-source; VNS; Simulated Annealing Irawan, Chandra Ade Salhi, Said Soemadi, Kusmaningrum The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods |
| title | The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods |
| title_full | The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods |
| title_fullStr | The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods |
| title_full_unstemmed | The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods |
| title_short | The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods |
| title_sort | continuous single-source capacitated multi-facility weber problem with setup costs: formulation and solution methods |
| topic | Location on the plane; Setup cost; Single-source; VNS; Simulated Annealing |
| url | https://eprints.nottingham.ac.uk/59777/ https://eprints.nottingham.ac.uk/59777/ https://eprints.nottingham.ac.uk/59777/ |