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NP-hardness of linear multiplicative programming and related problems
Authors:T. Matsui
Affiliation:(1) Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, Bunkyo-ku, 113 Tokyo, Japan
Abstract:The linear multiplicative programming problem minimizes a product of two (positive) variables subject to linear inequality constraints. In this paper, we show NP-hardness of linear multiplicative programming problems and related problems.
Keywords:NP-hard  minimization of products  linear multiplicative programming  linear fractional programming  multi-ratio programming
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