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Table 1 Robustness criteria used in the reviewed robust decision-making frameworks and related concepts

From: Adopting robust decision-making to forest management under climate change

 

Regret-based

Satisficing-based

Satisficing-optimizing

Relative performance criteria

Absolute performance criteria

Goal

Minimizing the maximum deviation of an alternative’s performance from estimated/best performance across scenarios

Maximize the fraction of scenarios in which an alternative meets performance criteria

Minimize the worst-case performance

Metrics

Regret to best estimate scenario: candidate alternative’s maximum performance deviation between best-estimate scenario and each other scenario

Global satisficing: fraction of scenarios of candidate alternative in which performance requirements are met

All constraints to the objective function have to be fulfilled over the uncertainty set (scenarios)

 

Regret to best performing alternative: maximum performance deviation of best-performing alternative and candidate alternative for each scenario

Local satisficing: number of uncertainty intervals from a best estimate outwards until candidate alternative fails performance requirements

 

Related concepts

Savage’s minimax regret

Radius of stability

Wald’s maximin

  1. Both regret-based and satisficing-based robustness criteria have two metrics each to quantify robustness. For explanations of Savage’s minimax regret, Wald’s maximin and the radius of stability please refer to the text, Sect. 4