CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

Approximating the Pareto Optimal Set using a Reduced Set of Objective Functions

Peter Lindroth (Institutionen för matematiska vetenskaper, matematik) ; Michael Patriksson (Institutionen för matematiska vetenskaper, matematik) ; Ann-Brith Strömberg (Institutionen för matematiska vetenskaper, matematik)
European Journal of Operational Research (0377-2217). Vol. 207 (2010), 3, p. 1519-1534.
[Artikel, refereegranskad vetenskaplig]

Real-world applications of multi-objective optimization often involve numerous objective functions. But while such problems are in general computationally intractable, it is seldom necessary to determine the Pareto optimal set exactly. A significantly smaller computational burden thus motivates the loss of precision if the size of the loss can be estimated. We describe a method for finding an optimal reduction of the set of objectives yielding a smaller problem whose Pareto optimal set w.r.t. a discrete subset of the decision space is as close as possible to that of the original set of objectives. Utilizing a new characterization of Pareto optimality and presuming a finite decision space, we derive a program whose solution represents an optimal reduction. We also propose an approximate, computationally less demanding formulation which utilizes correlations between the objectives and separates into two parts. Numerical results from an industrial instance concerning the configuration of heavy-duty trucks are also reported, demonstrating the usefulness of the method developed. The results show that multi-objective optimization problems can be significantly simplified with an induced error which can be measured.

Den här publikationen ingår i följande styrkeområden:

Läs mer om Chalmers styrkeområden  

Denna post skapades 2009-06-08. Senast ändrad 2014-10-27.
CPL Pubid: 94766


Läs direkt!

Länk till annan sajt (kan kräva inloggning)

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Optimeringslära, systemteori

Chalmers infrastruktur

Relaterade publikationer

Denna publikation ingår i:

Product Configuration from a Mathematical Optimization Perspective