Christoph Helmberg, Sebastian Richter, Dominic Schupke, Airbus Group Innovations, Munich, Germany: A Chance Constraint Model for Multi-Failure Resilience in Communication Networks

Author(s):

Christoph Helmberg
Sebastian Richter
Dominic Schupke, Airbus Group Innovations, Munich, Germany

Title:

Christoph Helmberg, Sebastian Richter, Dominic Schupke, Airbus Group Innovations, Munich, Germany: A Chance Constraint Model for Multi-Failure Resilience in Communication Networks

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 09, 2015

Mathematics Subject Classification:

    90B18 []
    90B25 []
    90C15 []
    90C35 []

Abstract:

For ensuring network survivability in case of single component failures many routing protocols provide a primary and a back up routing path for each origin destination pair. We address the problem of selecting these paths such that in the event of multiple failures, occuring with given probabilities, the total loss in routable demand due to both paths being intersected is small with high probability. We present a chance constraint model and solution approaches based on an explicit integer programming formulation, a robust formulation and a cutting plane approach that yield reasonably good solutions assuming that the failures are caused by at most two elementary events, which may each affect several network components.

Keywords:

robust optimization, stochastic programming, network design, network survivability

Language:

English

Publication time:

06/2015