[HTML][HTML] A survey on mixed-integer programming techniques in bilevel optimization

T Kleinert, M Labbé, I Ljubić, M Schmidt - EURO Journal on Computational …, 2021 - Elsevier
Bilevel optimization is a field of mathematical programming in which some variables are
constrained to be the solution of another optimization problem. As a consequence, bilevel …

[HTML][HTML] A survey on bilevel optimization under uncertainty

Y Beck, I Ljubić, M Schmidt - European Journal of Operational Research, 2023 - Elsevier
Bilevel optimization is a very active field of applied mathematics. The main reason is that
bilevel optimization problems can serve as a powerful tool for modeling hierarchical …

A survey of network interdiction models and algorithms

JC Smith, Y Song - European Journal of Operational Research, 2020 - Elsevier
This paper discusses the development of interdiction optimization models and algorithms,
with an emphasis on mathematical programming techniques and future research challenges …

Stochastic optimization of medical supply location and distribution in disaster management

HO Mete, ZB Zabinsky - International Journal of Production Economics, 2010 - Elsevier
We propose a stochastic optimization approach for the storage and distribution problem of
medical supplies to be used for disaster management under a wide variety of possible …

A multi-objective robust stochastic programming model for disaster relief logistics under uncertainty

A Bozorgi-Amiri, MS Jabalameli… - OR spectrum, 2013 - Springer
Humanitarian relief logistics is one of the most important elements of a relief operation in
disaster management. The present work develops a multi-objective robust stochastic …

Defending critical infrastructure

G Brown, M Carlyle, J Salmerón, K Wood - Interfaces, 2006 - pubsonline.informs.org
We apply new bilevel and trilevel optimization models to make critical infrastructure more
resilient against terrorist attacks. Each model features an intelligent attacker (terrorists) and a …

Shortest‐path network interdiction

E Israeli, RK Wood - Networks: An International Journal, 2002 - Wiley Online Library
We study the problem of interdicting the arcs in a network in order to maximize the shortest s–
t path length.“Interdiction” is an attack on an arc that destroys the arc or increases its …

Analysis of electric grid security under terrorist threat

J Salmeron, K Wood, R Baldick - IEEE Transactions on power …, 2004 - ieeexplore.ieee.org
We describe new analytical techniques to help mitigate the disruptions to electric power
grids caused by terrorist attacks. New bilevel mathematical models and algorithms identify …

Identifying critical infrastructure: the median and covering facility interdiction problems

RL Church, MP Scaparra… - Annals of the Association …, 2004 - Taylor & Francis
Facilities and their services can be lost due to natural disasters as well as to intentional
strikes, either by terrorism or an army. An intentional strike against a system is called …

A bilevel mixed-integer program for critical infrastructure protection planning

MP Scaparra, RL Church - Computers & Operations Research, 2008 - Elsevier
Vulnerability to sudden service disruptions due to deliberate sabotage and terrorist attacks is
one of the major threats of today. In this paper, we present a bilevel formulation of the r …