Verified methods for computing Pareto sets: General algorithmic analysis

• Autorzy: G.-Tóth B. , Kreinovich V.
• Języki publikacji: EN

Abstrakty

EN

In many engineering problems, we face multi-objective optimization, with several objective functions f1, . . . , fn. We want to provide the user with the Pareto set-a set of all possible solutions x which cannot be improved in all categories (i.e., for which fj (x') fj (x) for all j and fj(x') > fj(x) for some j is impossible). The user should be able to select an appropriate trade-off between, say, cost and durability. We extend the general results about (verified) algorithmic computability of maxima locations to show that Pareto sets can also be computed.

Słowa kluczowe

EN

multi-objective optimisation; Pareto set; verified computing

PL

optymalizacja wielocelowa; zbiór Pareto; obliczenia zweryfikowane

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2009
• Tom: Vol. 19, no 3
• Strony: 369--380
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

G.-Tóth B.

• Department of Differential Equations, Institute of Mathematics Budapest University of Technology and Economics (BME), Egry József u. 1, 1111 Budapest, Hungary

autor

Kreinovich V.

• Department of Computer Science University of Texas at El Paso, 500 W. University, El Paso, Texas 79968, USA

Bibliografia

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