NP-hardness of linear multiplicative programming and related problems |
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Authors: | T. Matsui |
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Affiliation: | (1) Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, Bunkyo-ku, 113 Tokyo, Japan |
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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. |
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Keywords: | NP-hard minimization of products linear multiplicative programming linear fractional programming multi-ratio programming |
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