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Operations Research
Article . 1998 . Peer-reviewed
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Solving a Class of Two-Dimensional Uncapacitated Location-Allocation Problems by Dynamic Programming

Solving a class of two-dimensional uncapacitated location-allocation problems by dynamic programming
Authors: Brimberg, Jack; Love, Robert F.;

Solving a Class of Two-Dimensional Uncapacitated Location-Allocation Problems by Dynamic Programming

Abstract

In this paper we define and analyze a class of two-dimensional location-allocation problems that can be solved with a one-dimensional dynamic programming algorithm. We define a criterion that must be satisfied in order that a problem can be classified as having a one-dimensional intrinsic property. An algorithm is developed to test any given problem to see if it possesses this property. We then show that any problem possessing the intrinsic property can be solved by means of an efficient dynamic programming algorithm developed earlier by one of the authors.

Keywords

Discrete location and assignment, two-dimensional location-allocation problems, one-dimensional dynamic programming, Dynamic programming

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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!
14
Average
Top 10%
Average
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