Homotopy Interior-Point Method for a General Multiobjective Programming Problem

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Bibliographische Detailangaben
Zeitschriftentitel:	Journal of Applied Mathematics
Personen und Körperschaften:	Zhao, X., Zhang, S. G., Liu, Q. H.
In:	Journal of Applied Mathematics, 2012, 2012, S. 1-12
Format:	E-Article
Sprache:	Englisch
veröffentlicht:	Hindawi Limited
Schlagwörter:	Applied Mathematics

Details
Zusammenfassung:	<jats:p>We present a combined homotopy interior-point method for a general multiobjective programming problem. For solving the KKT points of the multiobjective programming problem, the homotopy equation is constructed. We prove the existence and convergence of a smooth homotopy path from almost any initial interior point to a solution of the KKT system under some basic assumptions.</jats:p>
Umfang:	1-12
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2012/497345