A survey of adjustable robust optimization
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 …
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
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 …
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
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 …
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 …
optimization (AMIO) problems that extends previous work on finite adaptability. The …
Robust optimal control with adjustable uncertainty sets
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 …
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 …
addressing computationally demanding, multistage adaptive optimization problems. Despite …
Adjustable robust optimization via Fourier–Motzkin elimination
We demonstrate how adjustable robust optimization (ARO) problems with fixed recourse can
be cast as static robust optimization problems via Fourier–Motzkin elimination (FME) …
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 …
consecutively observed realizations of the uncertain problem parameters, pose formidable …
A rolling-horizon approach for multi-period optimization
Mathematical optimization problems including a time dimension abound. For example,
logistics, process optimization and production planning tasks must often be optimized for a …
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
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) …
much to replenish each product and how to allocate its inventory to fulfillment centers (FCs) …