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Article . 2011 . Peer-reviewed
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Article . 2009 . Peer-reviewed
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Article . 2012
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A branch‐and‐cut algorithm for the preemptive swapping problem

A branch-and-cut algorithm for the nonpreemptive swapping problem
Authors: Charles Bordenave; Michel Gendreau; Gilbert Laporte;

A branch‐and‐cut algorithm for the preemptive swapping problem

Abstract

AbstractIn the swapping problem (SP), every vertex of a complete graph may supply and demand an object of a known type. A vehicle of unit capacity starting and ending its tour at an arbitrary vertex is available for carrying objects of given types between vertices. The SP consists of determining a minimum cost route that allows the vehicle to satisfy every supply and demand. This article investigates the preemptive version of the SP in which the objects are allowed to be dropped at temporary locations along the route. The problem is modeled as a mixed integer linear program which is solved by branch‐and‐cut. Computational results on random geometric instances containing up to 100 vertices and eight object types are reported. © 2011 Wiley Periodicals, Inc. NETWORKS, 2011

Related Organizations
Keywords

Transportation, logistics and supply chain management, Applications of graph theory, Programming involving graphs or networks, swapping problem, precedence relationships, branch-and-cut, Deterministic network models in operations research, Polyhedral combinatorics, branch-and-bound, branch-and-cut, Boolean programming, vehicle routing

  • BIP!
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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).
    18
    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.
    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).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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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!
18
Top 10%
Top 10%
Average
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