Abstract
Genetic algorithm is a well known bio-inspired algorithm, which has been widely used to solve practical problems in real-life. The performance of the algorithm heavily depends on the convergence related to the values of parameters involved. It is formulated as a hard problem to select suitable values of mutation and crossover rates to achieve fast or slow convergence for unknown problems. As a new study of system framework inspired by cell model, membrane computing models is with a membrane structure having region segmentation, intrinsic discrete, non-deterministic, programmable and transparent features. In this paper, a hybrid “fast-slow” convergent framework for genetic algorithm inspired by membrane computing is proposed and applied to search optimal solution of 41 benchmark functions. It is obtained by the data experimental results that our method performs well in solving benchmark functions by achieving accuracy rate about 96%.
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References
Lin, F., Zhou, C., Changm K.: Convergence rate analysis of allied genetic algorithm. In: IEEE Conference on Decision and Control, pp. 786–791 (2010)
Burks, A.R., Punch, W.F.: An efficient structural diversity technique for genetic programming. In: ACM Conference on Genetic and Evolutionary Computation, pp. 991–998 (2015)
Hu, J., Seo, K., Li, S., et al.: Structure fitness sharing (SFS) for evolutionary design by genetic programming. In: Genetic & Evolutionary Computation Conference, pp. 780–787 (2012)
Mckay, R.I.: Fitness sharing in genetic programming. In: Genetic and Evolutionary Computation Conference, pp. 10–12 (2000)
Paun, G.: Membrane Computing: An Introduction (2002)
Song, T., Pan, L., Wang, J., Venkat, I., Subramanian, K., Abdullah, R.: Normal forms of spiking neural P systems with anti-spikes. IEEE Trans. NanoBiosci. 11(4), 352–359 (2012)
Padmavati Metta, V., Kelemenova, A.: Universality of spiking neural P systems with anti-spikes. New Math. Nat. Comput. 8(3), 281–283 (2014)
Krithivasan, K., Metta, V.P., Garg, D.: On string languages generated by spiking neural P systems with anti-spikes. Int. J. Found. Comput. Sci. 22(1), 15–21 (2011)
Song, T., Wang, X., Zhang, Z., Chen, Z.: Homogenous spiking neural P systems with anti-spikes. Neural Comput. Appl. doi:10.1007/s00521-013-1397-8
Song, T., Liu, X., Zeng, X.: Asynchronous spiking neural P systems with anti-spikes. Neural Process. Lett. 42(3), 633–647 (2014)
Jiang, K., Pan, L.: Spiking neural P systems with anti-spikes working in sequential mode induced by maximum spike number. Neurocomputing 171(1), 1674–1683 (2015)
Metta, V.P., Raghuraman, S., Krithivasan, K.: Spiking neural P systems with cooperating rules. In: Gheorghe, M., Rozenberg, G., Salomaa, A., Sosík, P., Zandron, C. (eds.) CMC 2014. LNCS, vol. 8961, pp. 314–329. Springer, Heidelberg (2014). doi:10.1007/978-3-319-14370-5_20
Metta, V.P., Raghuraman, S., Krithivasan, K.: Small universal spiking neural P systems with cooperating rules as function computing devices. In: Gheorghe, M., Rozenberg, G., Salomaa, A., Sosík, P., Zandron, C. (eds.) CMC 2014. LNCS, vol. 8961, pp. 300–313. Springer, Heidelberg (2014). doi:10.1007/978-3-319-14370-5_19
Song, T., Xu, J., Pan, L.: On the universality and non-universality of spiking neural P system with rules on synapses. IEEE Trans. NanoBiosci. 14(8), 960–966 (2015)
Song, T., Pan, L.: Spiking neural P systems with rules on synapses working in maximum spiking strategy. IEEE Trans. Nanobiosci. 14(4), 465–477 (2015)
Song, T., Pan, L.: Spiking neural P systems with rules on synapses working in maximum spikes consumption strategy. IEEE Trans. Nanobiosci. 14(1), 38–44 (2015)
Song, T., Zou, Q., Liu, X., Zeng, X.: Asynchronous spiking neural P systems with rules on synapses. Neurocomputing 151, 1439–1445 (2015)
Zhang, X., Zeng, X., Pan, L.: Weighted spiking neural P systems with rules on synapses. Fundamenta Informaticae 134(1–2), 201–218 (2014)
Ionescu, M., Paun, G., Pérez-Jiménez, M.J., Yokomori, T.: Spiking neural dP systems. Fundamenta Informaticae 111(4), 423–436 (2011)
Song, T., Pan, L.: Spiking neural P systems with request rules. Neurocomputing (2016). doi:10.1016/j.neucom.2016.02.023
Graham, S., Saxton, J., Woodward, M., et al.: Applications of membrane computing in systems and synthetic biology. Emergence Complex. Comput. 7(09), S624 (2013)
Moon, S., Chang, B.M.: A thread monitoring system for multithreaded java programs. ACM Sigplan Not. Homepage 41(5), 21–29 (2006)
Wang, X., Song, T., Gong, F., Zheng, P.: On the computational power of spiking neural P systems with self-organization. Sci. Rep. doi:10.1038/srep27624
Leporati, A., Pagani, D.: A membrane algorithm for the min storage problem. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2006. LNCS, vol. 4361, pp. 443–462. Springer, Heidelberg (2006). doi:10.1007/11963516_28
Pezzella, F., Morganti, G., Ciaschetti, G.: A genetic algorithm for the flexible job-shop scheduling problem. Comput. Oper. Res. 35(10), 3202–3212 (2008)
Goldberg, D.E.: Genetic algorithm in search
Paun, G., Rozenberg, G.: A guide to membrane computing. Theor. Comput. Sci. 287(1), 73–100 (2002)
Paun, G.: Computing with Membranes, Working with Computers, pp. 108–143. National Computing Centre Limited (1982)
Ionescu, M., Paun, G., Yokomori, T.: Spiking neural P systems with an exhaustive use of rules. Int. J. Unconventional Comput. 3, 135–153 (2007)
Nishida, T.Y.: Membrane algorithms. In: Freund, R., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2005. LNCS, vol. 3850, pp. 55–66. Springer, Heidelberg (2006). doi:10.1007/11603047_4
Huang, L., Wang, N.: An optimization algorithm inspired by membrane computing. In: Jiao, L., Wang, L., Gao, X., Liu, J., Wu, F. (eds.) ICNC 2006. LNCS, vol. 4222, pp. 49–52. Springer, Heidelberg (2006). doi:10.1007/11881223_7
Gutierrez-Naranjo, M.A., Perez-Jimenez, M.J., Ramrez-Martnez, D.: A software tool for verification of spiking neural P systems. Nat. Comput. 7(4), 485–497 (2008)
Wu, Y., Tang, Y., Han, B., et al.: A topology analysis and genetic algorithm combined approach for power network intentional islanding. Int. J. Electr. Power Energy Syst. 71, 174–183 (2015)
Nowotniak, R., Kucharski, J.: GPU-based tuning of quantum-inspired genetic algorithm for a combinatorial optimization problem. Bull. Pol. Acad. Sci. Tech. Sci. 60(2), 323–330 (2012)
Song, T., Pan, L.: Spiking neural P systems with rules on synapses working in maximum spiking strategy. IEEE Trans. Nanobiosci. 14(1), 465–477 (2015)
Wang, T., Zhang, G., Zhao, J., et al.: Fault diagnosis of electric power systems based on fuzzy reasoning spiking neural P systems. IEEE Trans. Power Syst. 30, 1182–1194 (2014)
Un, G., Un, R.: Membrane computing and economics: numerical P systems. Fundamenta Informaticae 73(1–2), 213–227 (2006)
Ciobanu, G., Pǎun, G., Prez-Jimnez, M.J.: Applications of membrane computing. Nat. Comput. 287(1), 73–100 (2006)
Zhang, G., Rong, H., Neri, F.: An optimization spiking neural P system for approximately solving combinatorial optimization problems. Int. J. Neural Syst. 24(5), 1440006 (2014)
Acknowledgment
This work was supported by National Natural Science Foundation of China (61402187, 61502535, 61572522, 61502063 and 61572523), China Postdoctoral Science Foundation funded project (2016M592267), Program for New Century Excellent Talents in University (NCET-13-1031), 863 Program (2015AA020925), Natural Science Foundation Project of CQ CSTC (No. cstc2012jjA40059), and Fundamental Research Funds for the Central Universities (247201607005A).
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Li, Z., Xia, S., Jiang, Y., Sun, B., Xin, Y., Wang, X. (2016). A Hybrid “Fast-Slow” Convergent Framework for Genetic Algorithm Inspired by Membrane Computing. In: Gong, M., Pan, L., Song, T., Zhang, G. (eds) Bio-inspired Computing – Theories and Applications. BIC-TA 2016. Communications in Computer and Information Science, vol 681. Springer, Singapore. https://doi.org/10.1007/978-981-10-3611-8_9
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DOI: https://doi.org/10.1007/978-981-10-3611-8_9
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