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Robust Optimization
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Affine Adjustable Robustness
A specialized form of adjustable robustness where the decision rules are affine functions of the uncertain parameters. Simplifies the adjustable robust optimization problems by limiting the complexity of decision rules.
Robust Optimization under Interval Uncertainty
A methodology where the uncertain parameters are described by intervals with known bounds, and solutions to the optimization problem remain feasible for all values within these intervals.
Robust Feasible Solution
A solution that remains feasible for all realizations of the uncertainty within the predefined uncertainty set. A key goal of robust optimization is to find such solutions.
Adjustable Robustness
The concept of making decisions that are dynamically adjustable in response to revealed uncertainty rather than fixed beforehand.
Robust Counterpart
The transformed version of an optimization problem that takes uncertainties into account, often resulting in a more conservative problem that seeks robust solutions.
Min-max Robust Optimization
A strategy in robust optimization that seeks to minimize the maximum cost, loss, or other performance metric, considering the worst-case scenario within the uncertainty set.
Uncertainty Set
A set that contains all possible values of uncertain parameters that might affect the decision-making process. It is used to define the bounds of uncertainty in robust optimization models.
Worst-Case Optimization
An approach that identifies the best performance under the most adverse conditions within the uncertainty set. This is often considered a conservative strategy in robust optimization.
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