The method for solving the multi-criteria linear-fractional optimization problem in integers
In the papers we propose a method for solving the linear-fractional multi-criteria optimization model with identical denominators in whole numbers. Such models are in increasing demand, especially from an application point of view. The solving procedure of these models initially involves assigning...
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"Ion Creanga" State Pedagogical University
2024-01-01
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| Series: | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
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| Online Access: | https://revistaust.upsc.md/index.php/acta_exacte/article/view/958 |
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| author | Alexadra Tkacenko |
| author_facet | Alexadra Tkacenko |
| author_sort | Alexadra Tkacenko |
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In the papers we propose a method for solving the linear-fractional multi-criteria optimization model with identical denominators in whole numbers. Such models are in increasing demand, especially from an application point of view. The solving procedure of these models initially involves assigning utilities (weights) to each criterion [15] and building the optimization model with a single criterion, which is a synthetic function of all criteria weighted. It was found that the optimal solution of the model does not depend on the values optimum of the criteria obtained in R+ or in Z+. So, the decision maker can combinatorially select the types of optimal values of criteria, a fact that represents the essential priority of the algorithm. By changing the utility values, at the decision maker's discretion, we will obtain a new optimal compromise solution of the model. Theoretical justification of the algorithm as well as a solved example are brought to work.
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| format | Article |
| id | doaj-art-e055d190411c42b5bb6c317e77143f1c |
| institution | DOAJ |
| issn | 2537-6284 2587-3644 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | "Ion Creanga" State Pedagogical University |
| record_format | Article |
| series | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
| spelling | doaj-art-e055d190411c42b5bb6c317e77143f1c2025-08-20T02:40:21Zeng"Ion Creanga" State Pedagogical UniversityActa et Commentationes: Ştiinţe Exacte şi ale Naturii2537-62842587-36442024-01-0116210.36120/2587-3644.v16i2.51-65The method for solving the multi-criteria linear-fractional optimization problem in integersAlexadra Tkacenko0Department of Mathematics, Moldova State University, 60 A. Mateevici st., Chisinau, MD--2009, Republic of Moldova In the papers we propose a method for solving the linear-fractional multi-criteria optimization model with identical denominators in whole numbers. Such models are in increasing demand, especially from an application point of view. The solving procedure of these models initially involves assigning utilities (weights) to each criterion [15] and building the optimization model with a single criterion, which is a synthetic function of all criteria weighted. It was found that the optimal solution of the model does not depend on the values optimum of the criteria obtained in R+ or in Z+. So, the decision maker can combinatorially select the types of optimal values of criteria, a fact that represents the essential priority of the algorithm. By changing the utility values, at the decision maker's discretion, we will obtain a new optimal compromise solution of the model. Theoretical justification of the algorithm as well as a solved example are brought to work. https://revistaust.upsc.md/index.php/acta_exacte/article/view/958multi-criteria fractional model in integersbasic efficient solutionoptimal compromise solution |
| spellingShingle | Alexadra Tkacenko The method for solving the multi-criteria linear-fractional optimization problem in integers Acta et Commentationes: Ştiinţe Exacte şi ale Naturii multi-criteria fractional model in integers basic efficient solution optimal compromise solution |
| title | The method for solving the multi-criteria linear-fractional optimization problem in integers |
| title_full | The method for solving the multi-criteria linear-fractional optimization problem in integers |
| title_fullStr | The method for solving the multi-criteria linear-fractional optimization problem in integers |
| title_full_unstemmed | The method for solving the multi-criteria linear-fractional optimization problem in integers |
| title_short | The method for solving the multi-criteria linear-fractional optimization problem in integers |
| title_sort | method for solving the multi criteria linear fractional optimization problem in integers |
| topic | multi-criteria fractional model in integers basic efficient solution optimal compromise solution |
| url | https://revistaust.upsc.md/index.php/acta_exacte/article/view/958 |
| work_keys_str_mv | AT alexadratkacenko themethodforsolvingthemulticriterialinearfractionaloptimizationprobleminintegers AT alexadratkacenko methodforsolvingthemulticriterialinearfractionaloptimizationprobleminintegers |