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V. Grudz et al. / Procedia Structural Integrity 59 (2024) 757–762

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4. Conclusion The developed system of mathematical models, with its further improvement, will allow objectively planning the development of the country's complex gas supply system, while ensuring the choice of solutions at the lowest national economic costs. References Coelho, P., Pinho, C., 2007. Considerations about equations for steady - state flow in natural gas pipelines. Journal of the Brazilian Society of Mechanical Sciences and Engineering 29(3), 262–272. Grudz, V., Grudz, V. (junior), Zapukhlyak, V., Kyzymyshyn, Ya., 2018. Non - stationary processes in the gas transmission systems at compressor stations shut - down. Journal of Hydrocarbon Power Engineering 1(5), 22 - 28. Kryzhanivskyi, E., Honcharuk, M., Grudz, V., 2006. Energy security of the state: highly efficient technologies for extraction, supply and use of natural gas. Kyiv: Interpress LTD, pp. 283. Mingfei, L., Xiangdong, X., Jian, M., Yuheng, Z., Luning, X., Honglong, Z., et al., 2019. A reliability evaluation system of complex gas pipeline network system in the operation period. Oil Gas Storage Transp 38, 738–44. Molenda, J., 1974. Gaz ziemny. Katowice: Slask, pp. 740. Muwei, F., Jing, G., Yang, W., Wenhui, K., 2018. Sensitivity analysis on the gas supply reliability of Shaanxi - Beijing natural gas pipeline network system. Oil Gas Storage Transp 37, 378–84. Su, H., Zio, E., Zhang, J., Li, X., Chi, L., Fan, L., et al., 2019. A method for the multi - objective optimization of the operation of natural gas pipeline networks considering supply reliability and operation efficiency. Comput Chem Eng 131, 106584. Su, H., Zio, E., Zhang, J., Li, Z., Wang, H., Zhang, F., et al., 2020. A systematic method for the analysis of energy supply reliability in complex Integrated Energy Systems considering uncertainties of renewable energies, demands and operations. J Clean Prod 267, 122117. Wentzel, E., 1999. Probability theory. M.: Science., pp. 572. Zapukhliak, V., Poberezhny, L., Maruschak, P., Grudz, V. (junior), Stasiuk, R., Brezinová, J., & Guzanová, A., 2019. Mathematical modeling of unsteady gas transmission system operating conditions under insufficient loading. Energies 12(7), 1–14.