Simple Single and Multi-Facility Location Models using Great Circle Distance

Facility location problems (FLP) are widely studied in operations research and supply chain domains. The most common metric used in such problems is the distance between two points, generally Euclidean distance (ED). When points/ locations on the earth surface are considered, ED may not be the appro...

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Main Author: Baskar A
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
Series:ITM Web of Conferences
Online Access:https://www.itm-conferences.org/articles/itmconf/pdf/2021/02/itmconf_icitsd2021_01001.pdf
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spelling doaj-1c0a572af23f44ccbc03cd12bd1cbec72021-03-19T08:24:39ZengEDP SciencesITM Web of Conferences2271-20972021-01-01370100110.1051/itmconf/20213701001itmconf_icitsd2021_01001Simple Single and Multi-Facility Location Models using Great Circle DistanceBaskar A0Panimalar Institute of TechnologyFacility location problems (FLP) are widely studied in operations research and supply chain domains. The most common metric used in such problems is the distance between two points, generally Euclidean distance (ED). When points/ locations on the earth surface are considered, ED may not be the appropriate distance metric to analyse with. Hence, while modelling a facility location on the earth, great circle distance (GCD) is preferable for computing optimal location(s). The different demand points may be assigned with different weights based on the importance and requirements. Weiszfeld’s algorithm is employed to locate such an optimal point(s) iteratively. The point is generally termed as “Geometric Median”. This paper presents simple models combining GCD, weights and demand points. The algorithm is demonstrated with a single and multi-facility location problems.https://www.itm-conferences.org/articles/itmconf/pdf/2021/02/itmconf_icitsd2021_01001.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Baskar A
spellingShingle Baskar A
Simple Single and Multi-Facility Location Models using Great Circle Distance
ITM Web of Conferences
author_facet Baskar A
author_sort Baskar A
title Simple Single and Multi-Facility Location Models using Great Circle Distance
title_short Simple Single and Multi-Facility Location Models using Great Circle Distance
title_full Simple Single and Multi-Facility Location Models using Great Circle Distance
title_fullStr Simple Single and Multi-Facility Location Models using Great Circle Distance
title_full_unstemmed Simple Single and Multi-Facility Location Models using Great Circle Distance
title_sort simple single and multi-facility location models using great circle distance
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2021-01-01
description Facility location problems (FLP) are widely studied in operations research and supply chain domains. The most common metric used in such problems is the distance between two points, generally Euclidean distance (ED). When points/ locations on the earth surface are considered, ED may not be the appropriate distance metric to analyse with. Hence, while modelling a facility location on the earth, great circle distance (GCD) is preferable for computing optimal location(s). The different demand points may be assigned with different weights based on the importance and requirements. Weiszfeld’s algorithm is employed to locate such an optimal point(s) iteratively. The point is generally termed as “Geometric Median”. This paper presents simple models combining GCD, weights and demand points. The algorithm is demonstrated with a single and multi-facility location problems.
url https://www.itm-conferences.org/articles/itmconf/pdf/2021/02/itmconf_icitsd2021_01001.pdf
work_keys_str_mv AT baskara simplesingleandmultifacilitylocationmodelsusinggreatcircledistance
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