PARETO BI-CRITERION OPTIMIZATION FOR SYSTEM SIZING : A DETERMINISTIC AND CONSTRAINT BASED APPROACH

DS 68-4: Proceedings of the 18th International Conference on Engineering Design (ICED 11), Impacting Society through Engineering Design, Vol. 4: Product and Systems Design, Lyngby/Copenhagen, Denmark, 15.-19.08.2011

Year: 2011
Editor: Culley, S.J.; Hicks, B.J.; McAloone, T.C.; Howard, T.J. & Lindemann, U.
Author: Yvars, Pierre-Alain
Series: ICED
Section: Product and Systems Design
Page(s): 420-429

Abstract

In this paper we are studying a deterministic constraint based approach to solve Pareto bi-criterion optimization problems in design. After presenting a state of the art of multi-objective optimization methods in design, the CSP method and the several ways to solve it is introduced. A quick overview of CSP application in product engineering is given too. Moreover, we introduce an optimization point of view for CSP and we propose a deterministic alternative to stochastic methods for solving Pareto bi-objective system sizing problems. An example in mechanical system optimization is given via the case study of the Pareto bi-criterion optimal design of a bolt coupling. The case is modeled as a Constraint Satisfaction Problem on both discrete and real variables. Finally, the numerical results and the Pareto frontier are exposed.

Keywords: SYSTEM SIZING; PARETO FRONTIER; CSP; CONSTRAINT PROPAGATION; BI-CRITERIA OPTIMISATION

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