Abstract
This paper deals with the parallel multi-memetic algorithm based on the Mind Evolutionary Computation (MEC) technique for solving optimal control problems of various chemical reactions. The article describes the algorithm outline along with its parallel software implementation, which was utilized to obtain the optimal control for two chemical reaction models. The first model describes the thermally-stimulated luminescence of polyarylenephthalides; the second one - the catalytic hydroalumination of olefins. Both processes are of significant practical importance. In this work, the optimal control problem was reduced to a non-linear high-dimensional global minimization problem and was solved with the proposed algorithm. The numerical experiment results are presented in the paper.
Irek Gubaydullin—This research was performed due to the Russian Science Foundation grant (project No. 19–71–00006) and RFBR according to the research projects No. 18–07–00341.
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References
Karpenko, A.P.: Modern algorithms of search engine optimization. Nature-inspired optimization algorithms. Bauman MSTU Publication, Moscow, p. 446 (2014)
Sakharov, M.K., Karpenko, A.P., Velisevich, Y.I.: Multi-memetic mind evolutionary computation algorithm for loosely coupled systems of desktop computers. In: Science and Education of the Bauman MSTU, vol. 10, pp. 438–452 (2015). https://doi.org/10.7463/1015.0814435
Sakharov, M.K.: New adaptive multi-memetic global optimization algorithm for loosely coupled systems. In: Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, no. 5, pp. 95–114 (2019). https://doi.org/10.18698/0236-3933-2019-5-95-114, (in Russia)
Mersmann, O. et al.: Exploratory landscape analysis. In: Proceedings of the 13th Annual Conference on Genetic and Evolutionary Computation. ACM, pp. 829–836 (2011). https://doi.org/10.1145/2001576.2001690
Sakharov, M., Karpenko, A.: Multi-memetic mind evolutionary computation algorithm based on the landscape analysis. In: Fagan, D., et al. (eds.) TPNC 2018. LNCS, vol. 11324, pp. 238–249. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-04070-3_19
Voevodin, V.V., Voevodin, Vl. V.: Parallel Computations. SPb.: BHV-Peterburg, p. 608 (2004)
Sakharov, M.K., Karpenko, A.P.: Adaptive load balancing in the modified mind evolutionary computation algorithm. Supercomput. Front. Innov. 5(4), 5–14 (2018). https://doi.org/10.14529/jsfi180401
Jie, J., Zeng, J.: Improved mind evolutionary computation for optimizations. In: Proceedings of the 5th World Congress on Intelligent Control and Automation, Hangzhou, China, pp. 2200–2204 (2004). https://doi.org/10.1109/WCICA.2004.1341978
Chengyi, S., Yan, S., Wanzhen, W.: A survey of MEC: 1998–2001. In: 2002 IEEE International Conference on Systems, Man and Cybernetics IEEE SMC2002, Hammamet, Tunisia. October 6–9. Institute of Electrical and Electronics Engineers Inc., vol. 6, pp. 445–453 (2002). https://doi.org/10.1109/ICSMC.2002.1175629
Sakharov, M., Karpenko, A.: Performance investigation of mind evolutionary computation algorithm and some of its modifications. In: Abraham, A., Kovalev, S., Tarassov, V., Snasel, V. (eds.) Proceedings of the First International Scientific Conference Intelligent Information Technologies for Industry (IITI 2016). AISC, vol. 450, pp. 475–486. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-33609-1_43
Ong, Y.S., Lim, M.H., Zhu, N., Wong, K. W.: Classification of adaptive memetic algorithms: a comparative study. In: IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, pp. 141–152 (2006)
Karpenko, A.P., Sakharov, M.K.: New adaptive multi-memetic global optimization algorithm. In: Herald of the Bauman Moscow State Technical University, Series Natural Science, no. 2, pp. 17–31 (2019). https://doi.org/10.18698/1812-3368-2019-2-17-31
Nelder, J.A., Meade, R.: A simplex method for function minimization. Comput. J. 7, 308–313 (1965)
Karpenko, A.P.: Optimization Methods (Introductory Course). http://bigor.bmstu.ru/
Antipin, V.A., Mamykin, D.A., Kazakov, V.P.: Recombination luminescence of poly(arylenephthalide) films induced by visible light. High Energy Chemistry 45(4), 352–359 (2011)
Akhmetshina, L.R., Mambetova, Z.I., Ovchinnikov, M.Yu.: Mathematical modelling of thermoluminescence kinetics of polyarylenephthalides. In: V International Scientific Conference on Mathematical Modelling of Processes and Systems, pp. 79–83 (2016)
Sakharov, M., Karpenko, A.: Parallel multi-memetic global optimization algorithm for optimal control of polyarylenephthalide’s thermally-stimulated luminescence. In: Le Thi, H.A., Le, H.M., Pham Dinh, T. (eds.) WCGO 2019. AISC, vol. 991, pp. 191–201. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-21803-4_20
Parphenova, L.V., Pechatkina, S.V., Khalilov, L.M., Dzhemilev, U.M.: Study of hydroalumination of olefins catalysed with Cp2ZrCl2. In: Izv. RAS, Series Chemistry, vol. 2, pp. 311–322 (2005)
Gubaydullin, I., Koledina, K., Sayfullina, L.: Mathematical modelling of induction period of the olefins hydroalumination reaction by diisobutylaluminiumchloride catalysed with Cp2ZrCl2. Eng. J. 18(1), 13–24 (2014)
Koledina, K.F., Gubaidullin, I.M.: Kinetics and mechanism of olefin catalytic hydroalumination by organoaluminum compounds. Russian J. Phys. Chem. A 90(5), 914–921 (2016)
Nurislamova, L.F., Gubaydullin, I.M., Koledina, K.F., Safin, R.R.: Kinetic model of the catalytic hydroalumination of olefins with organoaluminum compounds. Reaction Kinetics, Mech. Catalysis 117(1), 1–14 (2016)
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Sakharov, M., Koledina, K., Gubaydullin, I., Karpenko, A. (2020). Optimal Control of Chemical Reactions with the Parallel Multi-memetic Algorithm. In: Sokolinsky, L., Zymbler, M. (eds) Parallel Computational Technologies. PCT 2020. Communications in Computer and Information Science, vol 1263. Springer, Cham. https://doi.org/10.1007/978-3-030-55326-5_6
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