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 …

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 …

This paper discusses the development of interdiction optimization models and algorithms,
with an emphasis on mathematical programming techniques and future research challenges …

ABSTRACT We review the Operations Research/Management Science (OR/MS) literature
on supply chain disruptions in order to take stock of the research to date and to provide an …

This paper surveys the use of Monte Carlo sampling-based methods for stochastic
optimization problems. Such methods are required when—as it often happens in practice …

We present a method for computing lower bounds in the progressive hedging algorithm
(PHA) for two-stage and multi-stage stochastic mixed-integer programs. Computing lower …

Given a power grid modeled by a network together with equations describing power flows,
power generation and consumption, the so-called Nk problem asks whether there exists a …

Fifty years of research in Networks coincides with 50 years of advances in resilience theory
and applications. The purpose of this review is to identify how these two technical …

This monograph explores mathematical issues related to vulnerability analysis of power
grids, with a focus on optimization methods. The target audience is primarily made up of …

Wireless sensor networks (WSN) consist of a set of sensors and collection sinks that gather
and analyze environmental conditions. Spurred by the growing need for data collection and …