Some Approaches for Solving Multicriterial Problems in the Agricultural Sector


  • Gagik Tonoyan Yerevan State University
  • Marine Buniatyan Yerevan State University



multicriterial problems, Pareto equilibrium principle, efficient algorithms and their complexity, simplex method, transportation problem, dynamic programming


The article proposes new methods for solving multicriteria problems in the agricultural sector. Four optimization tasks are formulated: maximizing the total yield of all benefits, maximizing the total profit, minimizing the total volume of irrigation water and minimizing the total risks of crop cultivation (hail, frost, drought, etc.). In addition, additional restrictions are also formulated: uniform distribution of the crop, ensuring food security, and export opportunities are also discussed. According to the above conditions (or part of them), 60 tasks arise, 44 of which are multicriteria (with two, three or four objective functions). To solve these problems, three methods are proposed: the method of combining objective functions and combinations of weight coefficients, the dynamic programming method, the method of cuts and exclusions, which are mostly new. All these methods, with some simple transformations, can be applied to solve problems both in the field of economics and in various areas of public life. The algorithms of the methods are described, their complexity is estimated. The algorithms of all proposed methods are efficient (with polynomial complexity). Some suggestions and comments are given that will expand the range of problems under consideration, or, by narrowing this range; improve the efficiency of the proposed methods.

Author Biographies

Gagik Tonoyan, Yerevan State University

PhD in Physics and Mathematics, Associate Professor at the Chair of the Mathematical Modeling of Economy of the YSU

Marine Buniatyan, Yerevan State University

PhD in Economics, Associate Professor at the Chair of the Mathematical Modeling of Economy of the YSU


Хемди А․ Таха, Введение в исследование операций М․, 2005․ էջ 84-125:

Е․ В․ Шикин Математические методы и модели в управлении, М․, 2000․ էջ 158-163:

Пападимитриу Х.Х., Стайглиц К, Комбинаторная оптимизация, Москва, 1985 стр. 510 էջ 226-230:

Р. Штойер, Многокритериальная оптимизация, Москва, 1992. էջ 146-167:

П.В. Иванов, И.В. Ткаченко, Экономико-математическое моделирование в АПК, Ростов-на-Дону, 2013, էջ 101-107, 180-205 :

А.П. Москаленко, В.В. Гутенев, С.А. Москаленко, В.В. Денисов, Экономика природопользования и ресурсосбережения, Ростов-на-Дону, 2014, էջ 262-263:

Տնտեսամաթեմատիկական մեթոդներ և մոդելներ, ՀՊՏՀ, Երևան 2017, էջ 48-51:



How to Cite

Tonoyan Գ., & Buniatyan Մ. (2022). Some Approaches for Solving Multicriterial Problems in the Agricultural Sector. Bulletin of Yerevan University G: Economics, 13(1 (37), 53–63.



Economic and mathematical modeling