k-Center Problems with Minimum Coverage

In this work, we study an extension of the k-center facility location problem, where centers are required to service a minimum of clients. This problem is motivated by requirements to balance the workload of centers while allowing each center to cater to a spread of clients. We study three variants...

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Main Authors: LIM, Andrew, RODRIGUES, Brian, WANG, Fan, XU, Zhou
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語言:English
出版: Institutional Knowledge at Singapore Management University 2005
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https://ink.library.smu.edu.sg/context/lkcsb_research/article/3816/viewcontent/kcenterProblemsMinCoverage_2005_pv.pdf
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spelling sg-smu-ink.lkcsb_research-38162019-07-22T07:05:00Z k-Center Problems with Minimum Coverage LIM, Andrew RODRIGUES, Brian WANG, Fan XU, Zhou In this work, we study an extension of the k-center facility location problem, where centers are required to service a minimum of clients. This problem is motivated by requirements to balance the workload of centers while allowing each center to cater to a spread of clients. We study three variants of this problem, all of which are shown to be -hard. In-approximation hardness and approximation algorithms with factors equal or close to the best lower bounds are provided. Generalizations, including vertex costs and vertex weights, are also studied. 2005-02-01T08:00:00Z text application/pdf https://ink.library.smu.edu.sg/lkcsb_research/2817 info:doi/10.1016/j.tcs.2004.08.010 https://ink.library.smu.edu.sg/context/lkcsb_research/article/3816/viewcontent/kcenterProblemsMinCoverage_2005_pv.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection Lee Kong Chian School Of Business eng Institutional Knowledge at Singapore Management University Approximation algorithm k-center problem Minimum coverage Operations and Supply Chain Management
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Approximation algorithm
k-center problem
Minimum coverage
Operations and Supply Chain Management
spellingShingle Approximation algorithm
k-center problem
Minimum coverage
Operations and Supply Chain Management
LIM, Andrew
RODRIGUES, Brian
WANG, Fan
XU, Zhou
k-Center Problems with Minimum Coverage
description In this work, we study an extension of the k-center facility location problem, where centers are required to service a minimum of clients. This problem is motivated by requirements to balance the workload of centers while allowing each center to cater to a spread of clients. We study three variants of this problem, all of which are shown to be -hard. In-approximation hardness and approximation algorithms with factors equal or close to the best lower bounds are provided. Generalizations, including vertex costs and vertex weights, are also studied.
format text
author LIM, Andrew
RODRIGUES, Brian
WANG, Fan
XU, Zhou
author_facet LIM, Andrew
RODRIGUES, Brian
WANG, Fan
XU, Zhou
author_sort LIM, Andrew
title k-Center Problems with Minimum Coverage
title_short k-Center Problems with Minimum Coverage
title_full k-Center Problems with Minimum Coverage
title_fullStr k-Center Problems with Minimum Coverage
title_full_unstemmed k-Center Problems with Minimum Coverage
title_sort k-center problems with minimum coverage
publisher Institutional Knowledge at Singapore Management University
publishDate 2005
url https://ink.library.smu.edu.sg/lkcsb_research/2817
https://ink.library.smu.edu.sg/context/lkcsb_research/article/3816/viewcontent/kcenterProblemsMinCoverage_2005_pv.pdf
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