A modified goal programming model for piecewise linear functions |
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| Institution: | 1. Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, Southeast University, Nanjing 210096, Jiangsu Province, China;2. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;1. School of Computer Science and Technology, Xidian University, Xi’an, China;2. School of Computer Science and IT, RMIT University, Melbourne, Australia;1. School of Information Science and Technology, ShanghaiTech University, China;2. Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany |
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| Abstract: | Piecewise linear function (PLF) is an important technique for solving polynomial and/or posynomial programming problems since the problems can be approximately represented by the PLF. The PLF can also be solved using the goal programming (GP) technique by adding appropriate linearization constraints. This paper proposes a modified GP technique to solve PLF with n terms. The proposed method requires only one additional constraint, which is more efficient than some well-known methods such as those proposed by Charnes and Cooper's, and Li. Furthermore, the proposed model (PM) can easily be applied to general polynomial and/or posynomial programming problems. |
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