A dual simplex method for grey linear programming problems based on duality results
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| Publicado en: | Grey Systems vol. 10, no. 2 (2020), p. 145-157 |
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| Autor principal: | |
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| Publicado: |
Emerald Group Publishing Limited
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| Acceso en línea: | Citation/Abstract Full Text Full Text - PDF |
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| 024 | 7 | |a 10.1108/GS-10-2019-0044 |2 doi | |
| 035 | |a 2404252772 | ||
| 045 | 2 | |b d20200501 |b d20200831 | |
| 084 | |a 146528 |2 nlm | ||
| 100 | 1 | |a Davood Darvishi Salookolaei | |
| 245 | 1 | |a A dual simplex method for grey linear programming problems based on duality results | |
| 260 | |b Emerald Group Publishing Limited |c 2020 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a PurposeFor extending the common definitions and concepts of grey system theory to the optimization subject, a dual problem is proposed for the primal grey linear programming problem.Design/methodology/approachThe authors discuss the solution concepts of primal and dual of grey linear programming problems without converting them to classical linear programming problems. A numerical example is provided to illustrate the theory developed.FindingsBy using arithmetic operations between interval grey numbers, the authors prove the complementary slackness theorem for grey linear programming problem and the associated dual problem.Originality/valueComplementary slackness theorem for grey linear programming is first presented and proven. After that, a dual simplex method in grey environment is introduced and then some useful concepts are presented. | |
| 653 | |a Linear programming | ||
| 653 | |a Theorems | ||
| 653 | |a Simplex method | ||
| 653 | |a Decision making | ||
| 653 | |a Optimization | ||
| 653 | |a System theory | ||
| 700 | 1 | |a Seyed Hadi Nasseri | |
| 773 | 0 | |t Grey Systems |g vol. 10, no. 2 (2020), p. 145-157 | |
| 786 | 0 | |d ProQuest |t ABI/INFORM Global | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/2404252772/abstract/embedded/Y2VX53961LHR7RE6?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/2404252772/fulltext/embedded/Y2VX53961LHR7RE6?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/2404252772/fulltextPDF/embedded/Y2VX53961LHR7RE6?source=fedsrch |