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Optimal partition invariancy in multi-parametric linear optimization | ||
| Journal of Mathematical Modeling | ||
| دوره 10، شماره 3، آذر 2022، صفحه 433-448 اصل مقاله (302.52 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2022.20758.1809 | ||
| نویسندگان | ||
| Nayyer Mehanfar؛ Alireza Ghaffari Hadigheh* | ||
| Azarbaijan Shahid Madani University, Tabriz, Iran | ||
| چکیده | ||
| In a linear optimization problem, objective function, coefficients matrix, and the right-hand side might be perturbed with distinct parameters independently. For such a problem, we are interested in finding the region that contains the origin, and the optimal partition remains invariant. A computational methodology is presented here for detecting the boundary of this region. The cases where perturbation occurs only in the coefficients matrix and right-hand side vector or the objective function are specified as special cases. The findings are illustrated with some simple examples. | ||
| کلیدواژه‌ها | ||
| Optimal partition؛ multi-parametric linear optimization؛ invariancy analysis | ||
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آمار تعداد مشاهده مقاله: 531 تعداد دریافت فایل اصل مقاله: 426 |
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