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A branch‐and‐cut algorithm for the ring spur assignment problem

A branch-and-cut algorithm for the ring spur assignment problem
Authors: Paula Carroll; Bernard Fortz; Martine Labbé; Seán McGarraghy;

A branch‐and‐cut algorithm for the ring spur assignment problem

Abstract

AbstractThe ring spur assignment problem arises in the design of next‐generation telecommunications networks and has applications in location‐allocation problems. The aim is to identify a minimum cost set of interconnected ring spurs. We seek to connect all nodes of the network either on a set of bounded disjoint local rings or by a single spur edge connected to a node on a local ring. Local rings are interconnected by a special ring called the tertiary ring. We show that the problem is NP ‐Hard and present an Integer Programming formulation with additional valid inequalities. We implement a branch‐and‐cut algorithm and present our conclusions with computational results. © 2013 Wiley Periodicals, Inc. NETWORKS, 2013

Countries
France, Belgium, Ireland
Keywords

NP-Hardness Proof, Network design and communication in computer systems, survivable network design, IP Formulation, Integer programming, NP-hardness proof, Survivable Network Design, 004, IP formulation, Communication networks in operations research, [INFO.INFO-RO]Computer Science [cs]/Operations Research [math.OC], Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), branch-and-cut algorithm, Branch-and-Cut Algorithm, Recherche opérationnelle

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    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).
    9
    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.
    Average
    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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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!
9
Average
Average
Average
hybrid