Computing Possibly Optimal Solutions for Multi-Objective Constraint Optimisation with Tradeoffs

Computing the set of optimal solutions for a multiobjective constraint optimisation problem can be computationally very challenging. Also, when solutions are only partially ordered, there can be a number of different natural notions of optimality, one of the most important being the notion of Possibly Optimal, i. e. , optimal in at least one scenario compatible with the inter-objective tradeoffs. We develop an AND/OR Branch-and-Bound algorithm for computing the set of Possibly Optimal solutions, and compare variants of the algorithm experimentally.

Authors

• Nic Wilson
• Abdul Razak
• Radu Marinescu

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