Robust and adaptive network flows

D Bertsimas, E Nasrabadi, S Stiller - Operations Research, 2013 - pubsonline.informs.org
We study network flow problems in an uncertain environment from the viewpoint of robust
optimization. In contrast to previous work, we consider the case that the network parameters …

Optimizing infrastructure resilience under budgetary constraint

M Najarian, GJ Lim - Reliability Engineering & System Safety, 2020 - Elsevier
Communities located in regions prone to natural and man-made disasters endure hardship
and financial loss in the face of these events. Investment to enhance infrastructure resilience …

Designing networks with resiliency to edge failures using two-stage robust optimization

LR Matthews, CE Gounaris, IG Kevrekidis - European Journal of …, 2019 - Elsevier
We study the design of resilient single-commodity flow networks that can remain robust
against multiple concurrent edge failures. We model these failures as binary random …

On the power of randomization in network interdiction

D Bertsimas, E Nasrabadi, JB Orlin - Operations Research Letters, 2016 - Elsevier
In this paper, we introduce the randomized network interdiction problem that allows the
interdictor to use randomness to select arcs to be removed. We model the problem in two …

Hub location with protection under interhub link failures

V Blanco, E Fernández… - INFORMS Journal on …, 2023 - pubsonline.informs.org
This paper introduces the hub location problem under interhub link failures, a hub location
problem in which activated interhub links may fail with a given probability. Two different …

Polynomial-time identification of robust network flows under uncertain arc failures

VL Boginski, CW Commander, T Turko - Optimization Letters, 2009 - Springer
Abstract We propose Linear Programming (LP)-based solution methods for network flow
problems subject to multiple uncertain arc failures, which allow finding robust optimal …

The complexity of computing a robust flow

Y Disser, J Matuschke - Operations Research Letters, 2020 - Elsevier
Abstract The Maximum Robust Flow problem asks for a flow on the paths of a network
maximizing the guaranteed amount of flow surviving the removal of any k arcs. We point out …

Max flow vitality in general and st‐planar graphs

G Ausiello, PG Franciosa, I Lari, A Ribichini - Networks, 2019 - Wiley Online Library
The vitality of an arc/node of a graph with respect to the maximum flow between two fixed
nodes s and t is defined as the reduction of the maximum flow caused by the removal of that …

On risk-averse maximum weighted subgraph problems

M Rysz, M Mirghorbani, P Krokhmal… - Journal of Combinatorial …, 2014 - Springer
In this work, we consider a class of risk-averse maximum weighted subgraph problems (R-
MWSP). Namely, assuming that each vertex of the graph is associated with a stochastic …

Protection of flows under targeted attacks

J Matuschke, ST McCormick, G Oriolo, B Peis… - Operations Research …, 2017 - Elsevier
We present a new robust optimization model for the problem of maximizing the amount of
flow surviving the attack of an interdictor. Given some path flow, our model allows the …