Optimality conditions for convex stochastic optimization problems in Banach spaces with almost sure state constraints

C Geiersbach, W Wollner - SIAM Journal on Optimization, 2021 - SIAM
We analyze a convex stochastic optimization problem where the state is assumed to belong
to the Bochner space of essentially bounded random variables with images in a reflexive …

Mixed spatial and temporal decompositions for large-scale multistage stochastic optimization problems

P Carpentier, JP Chancelier, M De Lara… - Journal of Optimization …, 2020 - Springer
We consider multistage stochastic optimization problems involving multiple units. Each unit
is a (small) control system. Static constraints couple units at each stage. We present a mix of …

Trading with propagators and constraints: applications to optimal execution and battery storage

EA Jaber, N De Carvalho, H Pham - arxiv preprint arxiv:2409.12098, 2024 - arxiv.org
Motivated by optimal execution with stochastic signals, market impact and constraints in
financial markets, and optimal storage management in commodity markets, we formulate …

Decomposition of high dimensional aggregative stochastic control problems

A Seguret, C Alasseur, FJ Bonnans, A De Paola… - 2020 - hal-emse.ccsd.cnrs.fr
We consider the framework of high dimensional stochastic control problem, in which the
controls are aggregated in the cost function. As first contribution we introduce a modified …

Building up time-consistency for risk measures and dynamic optimization

M De Lara, V Leclère - European Journal of Operational Research, 2016 - Elsevier
In stochastic optimal control, one deals with sequential decision-making under uncertainty;
with dynamic risk measures, one assesses stochastic processes (costs) as time goes on and …

Decomposition of convex high dimensional aggregative stochastic control problems

A Seguret, C Alasseur, JF Bonnans, A De Paola… - Applied Mathematics & …, 2023 - Springer
We consider the framework of convex high dimensional stochastic control problems, in
which the controls are aggregated in the cost function. As first contribution, we introduce a …

[PDF][PDF] Upper and lower bounds for large scale multistage stochastic optimization problems: Decomposition methods

P Carpentier, JP Chancelier, M de Lara… - arxiv preprint arxiv …, 2019 - core.ac.uk
We consider a large scale multistage stochastic optimization problem involving multiple
units. Each unit is a (small) control system. Static constraints couple units at each stage. To …

A dual approximate dynamic programming approach to multi-stage stochastic unit commitment

J Ramakrishnan, J Luedtke - arxiv preprint arxiv:1801.02259, 2018 - arxiv.org
We study the multi-stage stochastic unit commitment problem in which commitment and
generation decisions can be made and adjusted in each time period. We formulate this …

Contrôle optimal et incitations pour des systèmes décentralisés de type champ moyen

A Séguret - 2023 - theses.hal.science
Cette thèse traite la résolution théorique et numérique de problèmes d'optimisation de type
champ moyen. Un premier problème de contrôle champ moyen est formulé, avec contrainte …