Solution of Optimization Problems using program R together with the example estimation of probabilities distribution
Keywords:
program R, optimization, modified χ2 method, probabilities distribution.
Abstract
Possibilities of the program R for problems of optimization are considered in this paper. The program together with associated packages is used for performing algorithms of linear, quadratic and nonlinear optimization. The main attention is focused on calculating for modified χ2 method for estimation of probabilities distribution. Here we introduce an effective computational technology available for wide practical application.
References
Maiboroda, R. E. (2016). Computer statistics. Textbook. Kyiv Taras Shevchenko National University
Khanin, O.G. (2015). Methodogical features of X2 consistency criteria in the practical problems of Sociology, Economics and Marketing. Economic analysis, 22, 1, 67 – 70.
Khanin,O.G. (2016). The method of X2 clustering in problems of Marketing. Economic analysis, 26, 1, 38 – 42.
Berkelaar M. Package 'lpSolver', https://cran.r-project.org/web/packages/lpSolve/lpSolve.pdf [Accessed: May 18, 2021].
Turlach B., Weingessel A. Package 'quadprog', https://cran.r-project.org/web/packages/quadprog/quadprog.pdf [Accessed: May 18, 2021].
Johnson S.G. The NLopt nonlinear-optimization package, https://cran.r-project.org/web/packages/nloptr/citation.html [Accessed: April 1, 2021].
K. Pearson. On the criterion that a given system of deviations from the probable in case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 1900. 50, 157.
Khanin, O.G. (2015). Methodogical features of X2 consistency criteria in the practical problems of Sociology, Economics and Marketing. Economic analysis, 22, 1, 67 – 70.
Khanin,O.G. (2016). The method of X2 clustering in problems of Marketing. Economic analysis, 26, 1, 38 – 42.
Berkelaar M. Package 'lpSolver', https://cran.r-project.org/web/packages/lpSolve/lpSolve.pdf [Accessed: May 18, 2021].
Turlach B., Weingessel A. Package 'quadprog', https://cran.r-project.org/web/packages/quadprog/quadprog.pdf [Accessed: May 18, 2021].
Johnson S.G. The NLopt nonlinear-optimization package, https://cran.r-project.org/web/packages/nloptr/citation.html [Accessed: April 1, 2021].
K. Pearson. On the criterion that a given system of deviations from the probable in case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 1900. 50, 157.
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Published
2021-06-16
How to Cite
MamchychТ., KhaninО., & Mamchych, I. (2021). Solution of Optimization Problems using program R together with the example estimation of probabilities distribution. COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION, (43), 60-63. https://doi.org/10.36910/6775-2524-0560-2021-43-10
Section
Automation and Control
