Ranking robustness and its application to evacuation planning |
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Authors: | Marc Goerigk Horst W Hamacher Anika Kinscherff |
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Institution: | 1. Department of Management Science, Lancaster University, Lancaster LA1 4YX, United Kingdom;2. Fachbereich Mathematik, University of Kaiserlautern, 67663 Kaiserslautern, Germany |
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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. |
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Keywords: | Robust optimization Solution ranking Combinatorial optimization Evacuation planning |
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