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Article . 2022 . Peer-reviewed
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Article . 2022
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Article . 2022
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Continuous approximation formulas for location problems

Authors: John Gunnar Carlsson; Bo Jones;

Continuous approximation formulas for location problems

Abstract

AbstractThe majority of research in the continuous approximation paradigm has emphasized routing problems, such as the travelling salesman problem and the vehicle routing problem. This article instead focuses on continuous approximation formulas for problems involving location, specifically the ‐medians, ‐dispersion, and generalized minimum spanning tree problems. We contribute bounds for constants that describe the growth rate of the cost of these problems as the number of demand points becomes large, and conduct computational experiments that verify that they provide a good approximation in practice.

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Keywords

asymptotic analysis, spanning tree, Discrete location and assignment, continuous approximation, dispersion, Euclidean, location

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    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
hybrid