APPLICATION OF THE MATRIX FACTOR ANALYSIS METHOD FOR DETERMINING PARAMETERS OF THE OBJECTIVE FUNCTION FOR TRANSPORT RISK MINIMIZATION

Serhii Zabolotnii

zabolotniua@gmail.com
Cherkasy State Business-College (Ukraine)
http://orcid.org/0000-0003-0242-2234

Sergii Mogilei


Rauf Ablyazov East European University (Ukraine)
http://orcid.org/0000-0002-9296-6827

Abstract

The paper regards a common transport problem with a non-classic optimization criterion to minimize transportation risks. It demonstrates that the risk parameters of the function could be found through the factor analysis method. Besides, considering that the problem contains several points of sending and delivering loads, the method is dealt with as a matrix. The research also regards the algorithm of matrix factor analysis application for determining parameters of the objective function for the problem to be solved. The survey results in a new method to construct the objective function for the optimization problem with probability parameters. It generally assists in suggesting a formal solution to such problems, foremost due to particular software.


Keywords:

factor analysis, objective function of optimization, transportation risk

Boyd K. C.: Factor analysis. In The Routledge Handbook of Research Methods in the Study of Religion. Taylor and Francis, 2013, 204–216 [http://doi.org/10.4324/9780203154281-22].
  Google Scholar

Chalmers J., Armour M.: The Delphi technique. In Handbook of Research Methods in Health Social Sciences. Springer, Singapore 2019, 715–735 [http://doi.org/10.1007/978-981-10-5251-4_99].
DOI: https://doi.org/10.1007/978-981-10-5251-4_99   Google Scholar

Díaz-Parra O., Ruiz-Vanoye J. A., Bernábe Loranca B., Fuentes-Penna A., Barrera-Cámara R.A.: A survey of transportation problems. Journal of Applied Mathematics. Hindawi Publishing Corporation 2014, 848129 [http://doi.org/10.1155/2014/848129].
DOI: https://doi.org/10.1155/2014/848129   Google Scholar

Freund R. J., Wilson W. J., Mohr D. L.: Data and Statistics. In Statistical Methods, 2010, 1–65 [http://doi.org/10.1016/b978-0-12-374970-3.00001-9].
DOI: https://doi.org/10.1016/B978-0-12-374970-3.00001-9   Google Scholar

Honcharov А., Mogilei S.: Solving multimodal transportation problems by different program means. Bulletin of Cherkasy State Technological University 3/2020, 67–74.
  Google Scholar

Klami A., Virtanen S., Leppaaho E., Kaski S.: Group Factor Analysis. IEEE Transactions on Neural Networks and Learning Systems 26(9)/2015, 2136–2147 [http://doi.org/10.1109/TNNLS.2014.2376974].
DOI: https://doi.org/10.1109/TNNLS.2014.2376974   Google Scholar

Privarova R.: Operational analysis tools in solving transport task. Perner’s contacts XI(2)/2016, 82–89.
  Google Scholar

Virtanen S., Klami A., Khan S. A., Kaski, S.: Bayesian group factor analysis. Proceedings of the 15th AISTATS, JMLR W&CP 22/2012, 1269–1277.
  Google Scholar

Zabolotnii S., Mogilei S.: The methods for determining the parameters of the objective function of multimodal transportation risk. Proceedings of V International Scientific-Practical Conference “ITEST-2020”, Cherkasy 2020, 114–115.
  Google Scholar

Zhao S., Gao C., Mukherjee S., Engelhardt B. E.: Bayesian group factor analysis with structured sparsity. Journal of Machine Learning Research 17/2016, 1–47.
  Google Scholar

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Published
2021-03-31

Cited by

Zabolotnii, S., & Mogilei, S. (2021). APPLICATION OF THE MATRIX FACTOR ANALYSIS METHOD FOR DETERMINING PARAMETERS OF THE OBJECTIVE FUNCTION FOR TRANSPORT RISK MINIMIZATION. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 11(1), 40–43. https://doi.org/10.35784/iapgos.2578

Authors

Serhii Zabolotnii 
zabolotniua@gmail.com
Cherkasy State Business-College Ukraine
http://orcid.org/0000-0003-0242-2234

Authors

Sergii Mogilei 

Rauf Ablyazov East European University Ukraine
http://orcid.org/0000-0002-9296-6827

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