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Failure disjoint paths

Författare

  • W. Ben-Ameur
  • M. Żotkiewicz
  • Michal Pioro

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.

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