Dua, V;
(2015)
Mixed integer polynomial programming.
COMPUTERS & CHEMICAL ENGINEERING
, 72
387 - 394.
10.1016/j.compchemeng.2014.07.020.
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Abstract
The mixed integer polynomial programming problem is reformulated as a multi-parametric programming problem by relaxing integer variables as continuous variables and then treating them as parameters. The optimality conditions for the resulting parametric programming problem are given by a set of simultaneous parametric polynomial equations which are solved analytically to give the parametric optimal solution as a function of the relaxed integer variables. Evaluation of the parametric optimal solution for integer variables fixed at their integer values followed by screening of the evaluated solutions gives the optimal solutions.
| Type: | Article |
|---|---|
| Title: | Mixed integer polynomial programming |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.compchemeng.2014.07.020 |
| Publisher version: | http://dx.doi.org/10.1016/j.compchemeng.2014.07.02... |
| Additional information: | © 2014 The Author. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/). |
| Keywords: | Mixed integer programming, Polynomial programming, Nonlinear inversion, Multi parametric programming |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1452709 |
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