An approach to finding trade-off solutions by a linear transformation of objective functions

• Autorzy: Podkopaev D.
• Języki publikacji: EN

Abstrakty

EN

We address the problem of deriving Pareto optimal solutions of multiple objective optimization problems with predetermined upper bounds on trade-offs. As shown, this can be achieved by a linear transformation of objective functions. Each non-diagonal element of the transformation matrix is related to a bound on the trade-off between a pair of the objective functions.

Słowa kluczowe

EN

multiple objective optimization; trade-offs; linear transformation of objective functions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 2
• Strony: 347--355
• Opis fizyczny: Bibliogr. 6 poz., tab.

Twórcy

autor

Podkopaev D.

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warszawa, Poland

Bibliografia

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• KALISZEWSKI, I. (2006) Soft Computing for Complex Multiple Criteria Decision Making. International Series in Operations Research & Management Science. Springer-Verlag, Berlin.
• KALISZEWSKI, I. and MICHAŁOWSKI, W. (1997) Efficient solutions and bounds on tradeoffs. Journal of Optimization Theory and Applications 94, 381-394.
• KALISZEWSKI, I. and MICHAŁOWSKI, W. (1999) Searching for psychologically stable solutions of multiple criteria decision problems. European Journal of Operational Research 118, 549-562.
• KALISZEWSKI, I. and ZIONTS, S. (2004) A generalization of the Zionts-Wallenius multiple criteria decision making algorithm. Control and Cybernetics 33, 477-500.
• ROY, A. and WALLENIUS, J. (1992) Nonlinear and unconstrained multiple-objective optimization: algorithm, computation and application. Mathematical Programming 55, 235-249.