Regional Economics: Theory and Practice

Abstracting and Indexing

Referativny Zhurnal VINITI RAS
LCCN Permalink
Google Scholar

Online available



Cyberleninka (12 month OA embargo)

Multiple criteria optimization of annual production plan of the enterprise

Vol. 16, Iss. 12, DECEMBER 2018

Received: 29 May 2018

Received in revised form: 13 June 2018

Accepted: 11 July 2018

Available online: 14 December 2018


JEL Classification: C41, C53, C61, D22, M21, O12

Pages: 2369–2382

Mitsel' A.A. Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, Russian Federation

Nochevkina V.O. Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, Russian Federation

ORCID id: not available

Subject This article considers and discusses planning as the primary function of management of an enterprise or company.
Objectives The article aims to create an economic and mathematical model of production planning, which helps minimize the costs of production, maximize profits and reserves of resources through optimizing the machine run time to manufacture each type of product.
Methods The study approaches the formation of a production plan as a process of solving a three-objective optimization problem, the basis of which is constituted by three single-objective optimization problems. The fair compromise and Monte Carlo methods were also used.
Results The article presents certain results of calculations for the enterprise where the multi-stage production process operates. It also formulates a multiple criteria optimization problem and proposes its solution.
Conclusions The problem described gets solved through the search of machine run time necessary to achieve the set goals. This problem can be applied and considered in a multi-stage production process, the release of several products, and the need to achieve several goals simultaneously. The problem can be modified depending on the peculiarities of the enterprise.

Keywords: manufacturing programme, multi-objective optimization, fair compromise method, Monte Carlo technique


  1. Kantorovich L.V. Matematicheskie metody organizatsii i planirovaniya proizvodstva [Mathematical methods of organizing and planning of production]. Leningrad, LSU Publ., 1939, 68 p.
  2. Syso T.N. [Optimization of company cost management]. Vestnik Omskogo universiteta. Seriya Ekonomika = Herald of Omsk University. Series Economics, 2011, no. 4, pp. 135–143. URL: Link (In Russ.)
  3. Mitsel' А.А., Zedina М.А. [Optimization of annual production program of enterprise by fair compromise method]. Ekonomicheskii analiz: teoriya i praktika = Economic Analysis: Theory and Practice, 2012, vol. 11, iss. 41, pp. 54–59. URL: Link (In Russ.)
  4. Berezovskii B.A., Baryshnikov Yu.M., Borzenko V.I., Kempner L.M. Mnogokriterial'naya optimizatsiya. Matematicheskie aspekty: monografiya [Multicriteria optimization. Mathematical aspects: a monograph]. Moscow, Nauka Publ., 1989, 129 p.
  5. Dubov Yu.A., Travkin S.I., Yakimets V.N. Mnogokriterial'nye modeli formirovaniya i vybora variantov sistem: monografiya [Multicriterion models of formation and choice of systems variants: a monograph]. Moscow, Nauka Publ., 1986, 296 p.
  6. Podinovskii V.V., Nogin V.D. Pareto-optimal'nye resheniya mnogokriterial'nykh zadach: monografiya [Pareto-optimal solutions to multicriteria tasks: a monograph]. Moscow, Nauka Publ., 1982, 256 p.
  7. Germeier Yu.B. Vvedenie v teoriyu issledovaniya operatsii: monografiya [An introduction to the theory of operations research: a monograph]. Moscow, Nauka Publ., 1971, 384 p.
  8. Steuer R.E. Mnogokriterial'naya optimizatsiya: teoriya, vychisleniya i prilozheniya [Multiple Criteria Optimization: Theory, Computation, and Application]. Moscow, Radio i svyaz' Publ., 1992, 504 p.
  9. Shvarts D.T. [Interactive methods for solving multi-objective optimization problem. Review]. Nauka i obrazovanie. Nauchnoe izdanie MGTU im. N.E. Baumana, 2013, no. 4, pp. 245–264. (In Russ.) URL: Link
  10. Karpenko A.P., Semenikhin A.S., Mitina E.V. [Review: Population methods of Pareto set approximation in multi-objective optimization problem]. Nauka i obrazovanie. Nauchnoe izdanie MGTU im. N.E. Baumana, 2012, no. 4, pp. 1–36. (In Russ.) URL: Link
  11. Karpenko A.P., Moor D.A., Mukhlisullina D.T. [Multicriteria optimization based on neuro-fuzzy approximation of the preference function of decision makers]. Nauka i obrazovanie. Nauchnoe izdanie MGTU im. N.E. Baumana, 2010, no. 6, pp. 1–21. (In Russ.) URL: Link
  12. Yarygin A.N., Kolacheva N.V., Palferova S.Sh. [Methods for finding optimal solutions to the economic multi-objective optimization]. Vektor nauki TGU, 2013, no. 1, pp. 388–393. URL: Link (In Russ.)
  13. Markina M.V. [Multicriteria optimization problems in economics]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo = Vestnik of Lobachevsky University of Nizhni Novgorod, 2014, no. 4, pp. 416–421. URL: Link (In Russ.)
  14. Zhukov A.V. [Model for estimation of the optimal development strategy of economic subject]. Vestnik TvGU. Seriya: Prikladnaya matematika = Herald of Tver State University. Series: Applied Mathematics, 2011, no. 20, pp. 105–123. URL: Link (In Russ.)

View all articles of issue


ISSN 2311-8733 (Online)
ISSN 2073-1477 (Print)

Journal current issue

Vol. 17, Iss. 5
May 2019