The Aggregate Homotopy Method for Multi-objective Max-min Problems | Zendy

Li He | Zendy; Xiaogang Dong | Zendy; Jiawei Tan | Zendy; Qinghuai Liu | Zendy

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The Aggregate Homotopy Method for Multi-objective Max-min Problems

Author(s) -

Li He,

Xiaogang Dong,

Jiawei Tan,

Qinghuai Liu

Publication year - 2011

Publication title -

international journal of image graphics and signal processing

Language(s) - English

Resource type - Journals

eISSN - 2074-9082

pISSN - 2074-9074

DOI - 10.5815/ijigsp.2011.02.05

Subject(s) - smoothing , mathematics , mathematical optimization , aggregate (composite) , homotopy analysis method , path (computing) , homotopy , function (biology) , simple (philosophy) , algorithm , computer science , pure mathematics , statistics , materials science , composite material , philosophy , epistemology , evolutionary biology , biology , programming language

Multi-objective programming problem was transformed into a class of simple unsmooth single-objective programming problem by Max-min ways. After smoothing with aggregate function, a new homotopy mapping was constructed. The minimal weak efficient solution of the multi-objective optimization problem was obtained by path tracking. Numerical simulation confirmed the viability of this method. Index Terms—multi-objective optimization, homotopy method, aggregate function

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