Many Objective Optimisation: Direct Objective Boundary Identification

Authors:
Evan J. Hughes
Affiliations:
Department of Informatics and Sensors, Cranfield University, DCMT, Shrivenham, UK SN6 8LA
Venue:
Proceedings of the 10th international conference on Parallel Problem Solving from Nature: PPSN X
Year:
2008

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Abstract

This paper describes and demonstrates a new and highly innovative technique that identifies an approximation of the entire bounding surface of the feasible objective region directly, including deep concavities, disconnected regions and the edges of interior holes in the feasible areas. The Pareto front is a subset of the surface of the objective boundary and can be extracted easily. Importantly, if the entire objective boundary is known, breaks and discontinuities in the Pareto front may be identified using automated methods; even with high objective dimensionality. This paper describes a proof-of-principle evolutionary algorithm that implements the new and unique Direct Objective Boundary Identification (DOBI) method.