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Zhao, X.; Zhang, S. G.; Liu, Q. H.

Homotopy interior-point method for a general multiobjective programming problem. (English) Zbl 1244.90215

J. Appl. Math. 2012, Article ID 497345, 12 p. (2012).
Summary: 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.

Cited in 3 Documents

MSC:

90C29 Multi-objective and goal programming
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\textit{X. Zhao} et al., J. Appl. Math. 2012, Article ID 497345, 12 p. (2012; Zbl 1244.90215)
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References:

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