Abstract
The paper presents a genetic algorithm for multicriteria optimization of parameters of a technological process, which finds a solution not from a certain point but from a specified population. The objective functions are used without their derivatives and probabilistic choice rules are applied. The multicriteria optimization is based on finding a solution that simultaneously optimizes the machining parameters defined by functions of productivity, tool consumption, tool cost, etc.
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References
G. L. Haet, A. L. Es’kov, and E. V. Mironenko, Tool Choice and Operation when Using Flexible Tooling Systems: A Review [in Russian], Issue 3, VNIITEMR, Moscow (1991).
M. G. Kotkina, V. N. Chernomaz, and L. M. Zueva, “Choosing cutting mode on heavy-duty lathes,” Stanki i Instrument, No. 7, 26–27 (1983).
G. L. Khaet (ed.), V. M. Gakh, K. G. Gromakov, V. S. Guzenko, T. G. Ivchenko, A. D. Loktev, and Ya. A. Muzykant, Assembled Carbide Tool [in Russian], Mashinostroenie, Moscow (1989).
L. M. Bogdanova and V. V. Gusev, “Estimating the efficiency of operation of a technological system,” Vestnik Mashinostroeniya, SevNTU, Sevastopol, Issue 108, 218–223 (2010).
E. V. Mironenko, V. S. Guzenko, L. V. Vasil’eva, and O. E. Mironenko, “Optimization of cutting modes in processing on heavy duty lathes with regard for power consumption,” Vestnik Nats. Tekhn Univer. KhPI, Issue 40, 62–70, Kharkov (2010).
Web-HIPRE. URL: http://www.hipre.hut.fi/.
WWW-NIMBUS. URL: http://nimbus.mit.jyu.fi/.
K. Schittkowski, “EASY-OPT: An interactive optimization system with automatic differentiation,” User’s Guide (Technical Report), Dep. of Mathematics, University of Bayreuth, D-95440 Bayreuth (1999).
A. P. Karpenko and D. T. Mukhlisullina, “Information model and main functions of the Pareto software system of multicriteria optimization,” Izd. MGTU im. Baumana, Moscow (2008). URL: http://technomag.edu.ru/doc/90282.html.
L. V. Vasilyeva, “Increasing the efficiency of processing on medium metal turning lathe due to optimization of structural parameters of cutters and cutting modes,” Author’s Ph.D. Theses, Sevastopol (2010).
Baoding Liu, Theory and Practice of Uncertain Programming, Springer-Verlag, Berlin–Heidelberg (2009).
G. L. Khaet (gen. ed.), V. S. Guzenko, L. G. Khaet, V. N. Chernomaz, A. L. Es’kov, E. V. Mironenko, E. A. Podgora, and L. V. Krasnokutskaya, Theory of Tool Designing and its Information Support: Marketing, Qualimetry, Reliability, and Optimization [in Russian], DGMA, Kramatorsk (1994).
M. B. Brovkova, Artificial Intelligence Sistems in Mechanical Engineering: A Manual [in Russian], Saratov. Gos. Tekhn. Univer., Saratov (2004).
S. Khaikin, Neural Networks: A Complete Course [in Russian], Izd. Dom Williams, Moscow (2006).
D. Rutkovskaya, M.Pilinskii, and L. Rutkovskaya, Neural Networks, Genetic Algorithms, and Fuzzy Systems [in Russian], Goryachaya Liniya Telekom, Moscow (2006).
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2018, pp. 181–188.
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Bohdanova, L.M., Vasilyeva, L.V., Guzenko, D.E. et al. A Software System to Solve the Multi-Criteria Optimization Problem with Stochastic Constraints. Cybern Syst Anal 54, 1013–1018 (2018). https://doi.org/10.1007/s10559-018-0104-2
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DOI: https://doi.org/10.1007/s10559-018-0104-2