Mathematical modeling of organization management by value guidelines: algorithms for analytic hierarchy process on the basis of quantitative significance criteria

Tatyana Zubova, Boris Melnikov, Aleksandr Soldatov

Abstract


In this article, we continue the description of mathematical models and algorithms designed to manage an organization based on value guidelines. In this approach, we apply a technique previously used in another subject area, and transfer it to our case. At the same time, in our subject area, we consider some basic characteristic that has a causal relationship to the dynamics of change in this organization to be the value guide of the organization. This characteristic should be optimal for a given set of criteria. Previously, we proposed an approach to the formulation of optimization problems designed for such modeling. We have allocated a special linguistic variables corresponding to the values of the considered variables. For each variable, we define possible approaches to the calculation of objective functions that describe the impact of management decisions on value norms. After that, we describe possible multi-criteria optimization algorithms designed to determine the pseudo-optimal variant of the set of management actions. Among the methods we have considered earlier, there is the use of qualitative comparison of the significance of the criteria. In this paper, we move from qualitative information to quantitative one: we consider an approach related to the determination of the optimality; this approach is based on the well-known method of hierarchy analysis. We take into account the quantitative significance of the criteria and apply special auxiliary mathematical models. We give the general principles of application of this method in the considered problems.

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Mel'nikov B. F., Zubova T. N. Matematicheskoe modelirovanie upravlenija organizaciej po cennostnym orientiram: metodika postanovki optimizacionnyh zadach // International Journal of Open Information Technologies. – 2018. – Vol. 6. No. 2. – P. 9–15.

Mel'nikov B. F., Zubova T. N. Matematicheskoe modelirovanie upravlenija organizaciej po cennostnym orientiram: algoritmy kompleksnoj ocenki i otbora psevdooptimal'nyh vozdejstvij // International Journal of Open Information Technologies. – 2018. – Vol. 6. No. 3. – P. 1–8.

Spencer, Jr. L. M., Spencer S. M. Competence at work. Models for Superior Performance. – N.Y.: John Wiley & Sons, Inc., 1993 – 372 p. (Spenser-ml. L. M., Spenser S. M. Kompetencii na rabote. – M.: HIPPO, 2005. – 384 s.)

Saati T. L. Celochislennye metody optimizacii i svjazannye s nimi jekstremal'nye problemy. – M.: Mir, 1973. – 302 s.

Basaker R. G., Saati T. L. Konechnye grafy i seti. – M.: Nauka, 1974. – 366 s.

Saati T. L. Prinjatie reshenij. Metod analiza ierarhij. – M.: Radio i svjaz', 1989. – 316 s.

Saati T., Kerns K. Analiticheskoe planirovanie. Organizacija sistem. – M.: Radio i svjaz', 1991. – 224 s.

Saaty T. L. Scaling Method for Priorities in Hierarchical Structures // J. of Mathematical Psychology. – 1977. – Vol. 15. No. 3. – P. 234–281.

Saati T. L. Ob izmerenii neosjazaemogo. Podhod k otnositel'nym izmerenijam na osnove glavnogo sobstvennogo vektora matricy parnyh sravnenij // Cloud Of Science. – 2015. – Vol. 2. No. 1. – P. 5–39.

Saati T. L. Otnositel'noe izmerenie i ego obobshhenie v prinjatii reshenij. Pochemu parnye sravnenija javljajutsja kljuchevymi v matematike dlja izmerenija neosjazaemyh faktorov // Cloud Of Science. – 2016. – Vol. 3. No. 2. – P. 171–262.

Pershikov V. I., Savinkov V. M. Tolkovyj slovar' po informatike. – M.: Finansy i statistika, 1991. – 543 s.

Podinovskij V. V., Podinovskaja O. V. O nekorrektnosti metoda analiza ierarhij // Problemy upravlenija. – 2011. – # 1. – S. 8–13.

Podinovskij V. V., Podinovskaja O. V. Eshhjo raz o nekorrektnosti metoda analiza ierarhij // Problemy upravlenija. – 2012. – # 4. – S. 75–78.

Podinovskij V. V. Mery riska kak kriterii vybora pri verojatnostnoj neopredelennosti // Iskusstvennyj intellekt i prinjatie reshenij. – 2015. – # 2. – S. 60–74.

Belton V., Stewart T. J. Multiple criteria decision analysis. An integrated approach. – Berlin: Kluwer Academic Publishers, 2003. – 374 s.

Podinovskaja O. V. Metod analiza ierarhij kak metod podderzhki prinjatija mnogokriterial'nyh reshenij // Informacionnye tehnologii modelirovanija i upravlenija. – 2010. – # 1 (60). – S. 71– 80.

Mel'nikov B. F., Radionov A. N. O vybore strategii v nedeterminirovannyh antagonisticheskih igrah // Programmirovanie. – 1998. – # 5. – S. 55–62.

Melnikov B., Radionov A., Moseev A., Melnikova E. Some specific heuristics for situation clustering problems // Proceedings, 1st International Conference on Software and Data Technologies. – 2006. – P. 272–279.

Mel'nikov B. F., Mel'nikova E. A. Klasterizacija situacij v algoritmah real'nogo vremeni dlja zadach diskretnoj optimizacii // Sistemy upravlenija i informacionnye tehnologii. – 2007. – T. 28. # 2. – S. 16–20.

Mel'nikov B. F., Pivneva S. V. Prinjatie reshenij v prikladnyh zadachah s primeneniem dinamicheski podobnyh funkcij riska // Vestnik transporta Povolzh'ja. – 2010. – # 3 (23). – S. 28a–33.

Zade L. Ponjatie lingvisticheskoj peremennoj i ego primenenie k prinjatiju priblizhennyh reshenij. – M.: Mir, 1976. – 166 s.

Diligenskij N. V., Dymova L. G., Sevast'janov P. V. Nechjotkoe modelirovanie i mnogokriterial'naja optimizacija proizvodstvennyh sistem v uslovijah neopredeljonnosti: tehnologija, jekonomika, jekologija. – M.: Mashinostroenie-1, 2004. – 335 s.

Zubova T. N. Sistemnye parametry i postroenie vektora organizacionnoj napravlennosti kak al'ternativa raschjota jeffektivnosti pri cenke biznesa // Al'jans nauk: uchjonyj uchjonomu. Materialy VI Mezhdunarodnoj nauchno-prakticheskoj konferencii. T. 7: Jeffektivnye instrumenty upravlenija predprijatiem. – 2011. – C. 33–37.


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