A robust variant of the Ring Star Problem

A robust variant of the Ring Star Problem

Julien Khamphousone (1, 2) , André Rossi , Fabian Andres Castano Giraldo , Sonia Toubaline (1, 2)

1 Université Paris Dauphine-PSL
2 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision

This paper addresses a robust variant of the Ring Star Problem where we assume that at most one hub can fail, among a given subset of nodes of the network. The network should remain functional despite this failure, which means there is an edge connecting the neighbors of any hub that can fail, and every terminal is connected to two different hubs that can fail or a single hub that cannot fail. The objective is to minimize the cost of such a robust Ring Star Network structure. The problem is addressed through an integer linear programming formulation, and a Benders decomposition is proposed as an alternative solution method. Computational experiments are carried out to compare these two approaches, and the results are analyzed.

Mots clés: Ring star problem, Robustness, Integer linear programming, Benders decomposition

Domaines: Recherche opérationnelle [math.OC]; Réseaux et télécommunications [cs.NI]

Julien Khamphousone, André Rossi, Fabian Andres Castano Giraldo, Sonia Toubaline. A robust variant of the Ring Star Problem. International Network Optimization Conference (INOC), Jun 2022, Aachen, Germany. ⟨hal-03755093⟩