Failure disjoint paths
Författare
Summary, in English
Given a set of commodities and a network where some arcs can fail while others are reliable,
we first consider the problem of computing a minimum-cost pair of paths not sharing failing
links. If a reliable link belongs to both paths then its cost is counted only once. We show
that this problem can be solved in strongly polynomial time. Second, we consider a routing
problem where each commodity can be split among pairs of failure-disjoint paths. We
present a compact linear formulation of the problem. Also three non-compact formulations
solvable by column generation are introduced. All formulations are numerically compared.
we first consider the problem of computing a minimum-cost pair of paths not sharing failing
links. If a reliable link belongs to both paths then its cost is counted only once. We show
that this problem can be solved in strongly polynomial time. Second, we consider a routing
problem where each commodity can be split among pairs of failure-disjoint paths. We
present a compact linear formulation of the problem. Also three non-compact formulations
solvable by column generation are introduced. All formulations are numerically compared.
Avdelning/ar
Publiceringsår
2014
Språk
Engelska
Dokumenttyp
Konferensbidrag
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Nyckelord
- Shortest paths
- disjoint paths
- compact formulations
- column generation
- capacitated network design
Conference name
2014 INFORMS Telecommunications Conference
Conference date
2014-03-02 - 2014-03-04
Conference place
Lisbon, Portugal
Status
Published