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Robust Optimization

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Affine Adjustable Robustness

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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.

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Robust Optimization under Interval Uncertainty

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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.

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Robust Feasible Solution

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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.

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Adjustable Robustness

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The concept of making decisions that are dynamically adjustable in response to revealed uncertainty rather than fixed beforehand.

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Robust Counterpart

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The transformed version of an optimization problem that takes uncertainties into account, often resulting in a more conservative problem that seeks robust solutions.

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Min-max Robust Optimization

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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.

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Uncertainty Set

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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.

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Worst-Case Optimization

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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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