Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resource
Given article is devoted features of the decision of a problem of integer nonlinear programming, by means of developed neural network method and algorithm of nonlinear optimization of means «decision Search» tabular processor Microsoft Excel. In offered neural network method the task in view decisio...
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| Format: | Article |
| Language: | English |
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Belarusian National Technical University
2021-04-01
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| Series: | Системный анализ и прикладная информатика |
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| Online Access: | https://sapi.bntu.by/jour/article/view/502 |
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| author | A. A. Zhuk V. M. Buloichyk |
| author_facet | A. A. Zhuk V. M. Buloichyk |
| author_sort | A. A. Zhuk |
| collection | DOAJ |
| description | Given article is devoted features of the decision of a problem of integer nonlinear programming, by means of developed neural network method and algorithm of nonlinear optimization of means «decision Search» tabular processor Microsoft Excel. In offered neural network method the task in view decision is made by means of a recurrent neural network (RNN) matrix architecture with m neurons in each line and n neurons in each column. All neurons such network are connected with each other by communications, and the signal from an exit neuron can move on its input. Neural network method is characterized by that on inputs mentioned RNN the entrance vector of values of parameters of optimized nonlinear criterion function of a problem of distribution of a non-uniform resource moves, calculation of values of weight factors connected among themselves neurons is carried out and signal RNN is formed. This signal by means of nonlinear function will be transformed to the discrete target signal characterizing values quasi-optimal of the decision of the mentioned problem which size changes from 0 to 1. The estimation of efficiency of the decision of a considered problem was carried out at its various values of an indicator of efficiency on the basis of developed imitating model RNN. As indicators of efficiency of application offered neural network method were used – an average relative error and time of the decision of a problem. The value received by means of algorithm of nonlinear optimization of means was accepted to the exact decision «decision Search» tabular processor Microsoft Excel. The analysis of the received results of the experimental researches, offered neural network method, has allowed to make the conclusion that in comparison with an existing method of nonlinear optimization of tabular processor Microsoft Excel use offered neural network method allows essentially (in 9,4 times) to lower time of the decision of a problem dimension 10 × 8 (m × n) and thus to provide accuracy of its decision not less than 99,8 %. |
| format | Article |
| id | doaj-art-0aa1c512aae840919f3c11a8b039d87f |
| institution | Matheson Library |
| issn | 2309-4923 2414-0481 |
| language | English |
| publishDate | 2021-04-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Системный анализ и прикладная информатика |
| spelling | doaj-art-0aa1c512aae840919f3c11a8b039d87f2025-08-04T14:26:22ZengBelarusian National Technical UniversityСистемный анализ и прикладная информатика2309-49232414-04812021-04-0101455210.21122/2309-4923-2021-1-45-52378Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resourceA. A. Zhuk0V. M. Buloichyk1Military Academy of the Republic of BelarusMilitary Academy of the Republic of BelarusGiven article is devoted features of the decision of a problem of integer nonlinear programming, by means of developed neural network method and algorithm of nonlinear optimization of means «decision Search» tabular processor Microsoft Excel. In offered neural network method the task in view decision is made by means of a recurrent neural network (RNN) matrix architecture with m neurons in each line and n neurons in each column. All neurons such network are connected with each other by communications, and the signal from an exit neuron can move on its input. Neural network method is characterized by that on inputs mentioned RNN the entrance vector of values of parameters of optimized nonlinear criterion function of a problem of distribution of a non-uniform resource moves, calculation of values of weight factors connected among themselves neurons is carried out and signal RNN is formed. This signal by means of nonlinear function will be transformed to the discrete target signal characterizing values quasi-optimal of the decision of the mentioned problem which size changes from 0 to 1. The estimation of efficiency of the decision of a considered problem was carried out at its various values of an indicator of efficiency on the basis of developed imitating model RNN. As indicators of efficiency of application offered neural network method were used – an average relative error and time of the decision of a problem. The value received by means of algorithm of nonlinear optimization of means was accepted to the exact decision «decision Search» tabular processor Microsoft Excel. The analysis of the received results of the experimental researches, offered neural network method, has allowed to make the conclusion that in comparison with an existing method of nonlinear optimization of tabular processor Microsoft Excel use offered neural network method allows essentially (in 9,4 times) to lower time of the decision of a problem dimension 10 × 8 (m × n) and thus to provide accuracy of its decision not less than 99,8 %.https://sapi.bntu.by/jour/article/view/502integer nonlinear programmingcombinatory optimizationneural network optimizationquasi-optimal distributionneural network methoda recurrent neural networkefficiency estimation |
| spellingShingle | A. A. Zhuk V. M. Buloichyk Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resource Системный анализ и прикладная информатика integer nonlinear programming combinatory optimization neural network optimization quasi-optimal distribution neural network method a recurrent neural network efficiency estimation |
| title | Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resource |
| title_full | Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resource |
| title_fullStr | Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resource |
| title_full_unstemmed | Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resource |
| title_short | Neural network method of the decision Of the nonlinear problem of optimum distribution of the non-uniform resource |
| title_sort | neural network method of the decision of the nonlinear problem of optimum distribution of the non uniform resource |
| topic | integer nonlinear programming combinatory optimization neural network optimization quasi-optimal distribution neural network method a recurrent neural network efficiency estimation |
| url | https://sapi.bntu.by/jour/article/view/502 |
| work_keys_str_mv | AT aazhuk neuralnetworkmethodofthedecisionofthenonlinearproblemofoptimumdistributionofthenonuniformresource AT vmbuloichyk neuralnetworkmethodofthedecisionofthenonlinearproblemofoptimumdistributionofthenonuniformresource |