[HTML][HTML] A survey on mixed-integer programming techniques in bilevel optimization
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 …
constrained to be the solution of another optimization problem. As a consequence, bilevel …
[HTML][HTML] A survey on bilevel optimization under uncertainty
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 …
bilevel optimization problems can serve as a powerful tool for modeling hierarchical …
A survey of network interdiction models and algorithms
This paper discusses the development of interdiction optimization models and algorithms,
with an emphasis on mathematical programming techniques and future research challenges …
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 …
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 …
disaster management. The present work develops a multi-objective robust stochastic …
Defending critical infrastructure
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 …
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 …
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 …
grids caused by terrorist attacks. New bilevel mathematical models and algorithms identify …
Identifying critical infrastructure: the median and covering facility interdiction problems
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 …
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
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 …
one of the major threats of today. In this paper, we present a bilevel formulation of the r …