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  • 标题:A Convexity Method for Linear Multiplicative Programming
  • 本地全文:下载
  • 作者:Chunfeng Wang ; Yaping Deng ; Xiaodi Wu
  • 期刊名称:Lecture Notes in Engineering and Computer Science
  • 印刷版ISSN:2078-0958
  • 电子版ISSN:2078-0966
  • 出版年度:2022
  • 卷号:52
  • 期号:1
  • 语种:English
  • 出版社:Newswood and International Association of Engineers
  • 摘要:For solving linear multiplicative programming(P0), a global optimization algorithm is proposed in this paper.First, by using logarithmic transformation, we equivalentlytransform problem (P0) into an problem (P). Then, a mixedinteger convex programming problem (M) is derived basedon piecewise linear approximation for nonconvex part of theobjective function in (P), which is a convex approximation of(P). Finally, by solving the problem (M), an ϵ-global optimumof (P0) can be acquired. The numerical results verify thefeasibility and effectiveness of this method.
  • 关键词:Linear multiplicative programming;Optimization; Piecewise linearization; Mixed-integer convex programming
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