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Journal of Mathematical Modeling، جلد ۹، شماره ۲، صفحات ۱۴۵-۱۷۲
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
Advances in induced optimal partition invariancy analysis in uni-parametric linear optimization |
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| چکیده انگلیسی مقاله |
In this study, we consider a family of uni-parametric linear optimization problems that the objective function, the right, and the left hand side of constraints are linearly perturbed with an identical parameter. We are interested in studying the effect of this variation on a given optimal solution and the behavior of the optimal value function on its domain. This problem has several applications, such as in linear time dynamical systems. A prototype example is provided in dynamical systems as a justification for the practicality of the study results. Based on the concept of induced optimal partition, we identify the intervals for the parameter value where optimal induced partitions are invariant. We show that the optimal value function is piecewise fractional continuous in the interior of its domain, while it is not necessarily to be continuous at the endpoints. Some concrete examples depict the results of the analysis. |
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| کلیدواژه‌های انگلیسی مقاله |
Uni-parameter linear optimization, Induced optimal partition invariancy analysis, change point, Moore-Penrose inverse, Realization theory |
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| نویسندگان مقاله |
Nayyer Mehanfar |
Azarbaijan Shahid Madani University, Tabriz, Iran
Alireza Ghaffari Hadigheh |
Azarbaijan Shahid Madani University, Tabriz, Iran
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| نشانی اینترنتی |
https://jmm.guilan.ac.ir/article_4667_625d5dd6ff09861f3b9a66dc0d60e388.pdf |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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