A survey of adjustable robust optimization

İ Yanıkoğlu, BL Gorissen, D den Hertog - European Journal of Operational …, 2019 - Elsevier
Static robust optimization (RO) is a methodology to solve mathematical optimization
problems with uncertain data. The objective of static RO is to find solutions that are immune …

A structuring review on multi-stage optimization under uncertainty: Aligning concepts from theory and practice

H Bakker, F Dunke, S Nickel - Omega, 2020 - Elsevier
While methods for optimization under uncertainty have been studied intensely over the past
decades, the explicit consideration of the interplay between uncertainty and time has gained …

Multi-energy microgrid robust energy management with a novel decision-making strategy

T Chen, Y Cao, X Qing, J Zhang, Y Sun… - Energy, 2022 - Elsevier
Uncertainties in renewable energy sources and load demand have become a consequential
issue which has led to a significant effect on the microgrid operation. In this paper, a novel …

Multistage robust mixed-integer optimization with adaptive partitions

D Bertsimas, I Dunning - Operations Research, 2016 - pubsonline.informs.org
We present a new partition-and-bound method for multistage adaptive mixed-integer
optimization (AMIO) problems that extends previous work on finite adaptability. The …

Robust optimal control with adjustable uncertainty sets

X Zhang, M Kamgarpour, A Georghiou, P Goulart… - Automatica, 2017 - Elsevier
In this paper, we develop a unified framework for studying constrained robust optimal control
problems with adjustable uncertainty sets. In contrast to standard constrained robust optimal …

Design of near optimal decision rules in multistage adaptive mixed-integer optimization

D Bertsimas, A Georghiou - Operations Research, 2015 - pubsonline.informs.org
In recent years, decision rules have been established as the preferred solution method for
addressing computationally demanding, multistage adaptive optimization problems. Despite …

Adjustable robust optimization via Fourier–Motzkin elimination

J Zhen, D Den Hertog, M Sim - Operations Research, 2018 - pubsonline.informs.org
We demonstrate how adjustable robust optimization (ARO) problems with fixed recourse can
be cast as static robust optimization problems via Fourier–Motzkin elimination (FME) …

Robust dual dynamic programming

A Georghiou, A Tsoukalas… - Operations …, 2019 - pubsonline.informs.org
Multistage robust optimization problems, where the decision maker can dynamically react to
consecutively observed realizations of the uncertain problem parameters, pose formidable …

A rolling-horizon approach for multi-period optimization

L Glomb, F Liers, F Rösel - European Journal of Operational Research, 2022 - Elsevier
Mathematical optimization problems including a time dimension abound. For example,
logistics, process optimization and production planning tasks must often be optimized for a …

Integrating anticipative replenishment allocation with reactive fulfillment for online retailing using robust optimization

YF Lim, S Jiu, M Ang - Manufacturing & Service Operations …, 2021 - pubsonline.informs.org
Problem definition: In each period of a planning horizon, an online retailer decides how
much to replenish each product and how to allocate its inventory to fulfillment centers (FCs) …