A toolkit for efficiently generating Pareto sets in (bio)chemical multi-objective optimal control problems

Authors

• F. Logist, B. Houska, M. Diehl, J. Van Impe

Reference

• Computer Aided Chemical Engineering,
  Volume 28, pages 481 - 486, 2010.

Abstract

Many practical (bio)chemical engineering problems involve the determination of optimal trajectories given multiple and conflicting objectives. These conflicting objectives typically give rise to a set of Pareto optimal solutions. To enhance real-time decision making efficient approaches are required for determining the Pareto set in a fast and accurate way. Hereto, the current paper integrates efficient multiple objective scalarisation strategies (e.g., Normal Boundary Intersection and Normalised Normal Constraint) with fast deterministic simultaneous approaches for dynamic optimisation (e.g., Multiple Shooting and Collocation). All techniques have been implemented as an add-on to the freely available automatic control and dynamic optimisation toolkit ACADO (www.acadotoolkit.org). ACADO Multi-Objective's features are discussed and its use is illustrated on different (bio)chemical examples.

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