In INOCS, we consider that an optimization problem presents a complex structure (CS) when two types of decision are addressed jointly and are interrelated. Examples are decisions of different types/nature (i.e. strategic, tactical or operational), and/or presenting some hierarchical leader-follower structure. CS problems lead to extremely challenging problems since a global optimum with respect to the whole sets of decision variables and constraints must be determined. INOCS models and develops innovative solution methods for CS problems according to three types of optimization paradigms: mathematical optimization, bilevel optimization, and robust/stochastic optimization.
CS problems are pervasive. They appear in a broad range of application fields such as :
Leader-Follower framework for Demand Response in Smart Grids
Models and methods for decentralized decision in logistics networks
Méthodes de génération de colonnes pour des problèmes opérationnels intégrés
Models and Algorithms for Network Interdiction Problems
Hyperheuristics in Logistics 21/12/2016