Ranking robustness and its application to evacuation planning

Goerigk, Marc and Hamacher, Horst W. and Kinscherff, Anika (2018) Ranking robustness and its application to evacuation planning. European Journal of Operational Research, 264 (3). pp. 837-846. ISSN 0377-2217

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Abstract

We present a new approach to handle uncertain combinatorial optimization problems that uses solution ranking procedures to determine the degree of robustness of a solution. Unlike classic concepts for robust optimization, our approach is not purely based on absolute quantitative performance, but also includes qualitative aspects that are of major importance for the decision maker. We discuss the two variants, solution ranking and objective ranking robustness, in more detail, presenting problem complexities and solution approaches. Using an uncertain shortest path problem as a computational example, the potential of our approach is demonstrated in the context of evacuation planning due to river flooding.