Abstract
Searching for new efficient and exact heuristic optimization algorithms in big search spaces currently remains as an open problem. The search space increases exponentially with the problem size, making impossible to find a solution through a mere blind search. Several heuristic approaches inspired by nature have been adopted as suitable algorithms to solve complex optimization problems in many different areas. Networks of Bio-inspired Processors (NBP) is a formal framework formed of highly parallel and distributed computing models inspired and abstracted by biological evolution. From a theoretical point of view, NBP has been proved broadly to be an efficient solving of NP complete problems. The aim of this paper is to explore the expressive power of NBP to solve hard optimization problems with a big search space, using massively parallel architectures. We use the basic concepts and principles of some metaheuristic approaches to propose an extension of the NBP model, which is able to solve actual problems in the optimization field from a practical point of view.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alarcón, P., Arroyo, F., Mitrana, V.: Networks of Polarized Evolutionary Processors. Information Sciences 265, 189–197 (2014)
Arroyo, F., Castellanos, J., Mitrana, V., Santos, E., Sempere, J.M.: Networks of Bio-inspired Processors, pp. 25–57. TRIANGLE. URV Publications (2012)
Arroyo, F., Gómez Canaval, S., Mitrana, V., Popescu, Ş.: Networks of polarized evolutionary processors are computationally complete. In: Dediu, A.-H., Martín-Vide, C., Sierra-Rodríguez, J.-L., Truthe, B. (eds.) LATA 2014. LNCS, vol. 8370, pp. 101–112. Springer, Heidelberg (2014)
Birattari, M., Paquete, L., Stutzle, T., Varrentrapp, K.: Classification of Metaheuristics and Design of Experiments for the Analysis of Components. Technical Report AIDA-01-05, Technische Universitat Darmstadt, Darmstadt, Germany (2001)
Boussaid, I., Lepagnot, J., Siarry, P.: A survey on optimization metaheuristics. Journal of Information Sciences. 237, 82–117 (2013)
Campos, M., Sempere, J.M.: Accepting Networks of Genetic Processors are computationally complete. Theoretical Computer Science. 456, 18–29 (2012)
Errico, L., Jesshope, C.: Towards a new architecture for symbolic processing. Artificial Intelligence and Information-Control Systems of Robots, World Sci. Publ., Singapore, 31–40 (1994)
Gómez Canaval, S., Sánchez, J.R., Arroyo, F.: Simulating metabolic processes using an architecture based on networks of bio-inspired processors. In: Mauri, G., Dennunzio, A., Manzoni, L., Porreca, A.E. (eds.) UCNC 2013. LNCS, vol. 7956, pp. 255–256. Springer, Heidelberg (2013)
Castellanos, J., Martín-Vide, C., Mitrana, V., Sempere, J.M.: Solving NP-complete problems with networks of evolutionary processors. In: Mira, J., Prieto, A.G. (eds.) IWANN 2001. LNCS, vol. 2084, p. 621. Springer, Heidelberg (2001)
Castellanos, J., Martín-Vide, C., Mitrana, V., Sempere, J.M.: Networks of Evolutionary Processors. Acta Informática 39, 517–529 (2003)
Hillis, D.W.: The Connection Machine. MIT Press A.I. Memo No. 646 (1981)
Manea, F., Margenstern, M., Mitrana, V., Pérez-Jiménez, M.J.: A New Characterization of NP, P, and PSPACE with Accepting Hybrid Networks of Evolutionary Processors. Journal of Theory of Computing Systems 46, 174–192 (2010)
Manea, F., Martín-Vide, C., Mitrana, V.: On the Size Complexity of Universal Accepting Hybrid Networks of Evolutionary Processors. Mathematical Structures in Computer Science 17, 753–771 (2007)
Manea, F., Martín-Vide, C., Mitrana, V.: Accepting networks of splicing processors: Complexity results. Journal of Theoretical Computer Science 371(1), 72–82 (2007)
Manea, F., Martín-Vide, C., Mitrana, V.: Accepting Networks of Evolutionary Word and Picture Processors: A survey, pp. 523–560. Frontiers in Mathematical Linguistics and Language Theory, World Scientific (2010)
Martín-Vide, C., Pazos, J., Păun, G., Rodríguez-Patón, A.: A new class of symbolic abstract neural nets: tissue p systems. In: Ibarra, O.H., Zhang, L. (eds.) COCOON 2002. LNCS, vol. 2387, p. 290. Springer, Heidelberg (2002)
Martín-Vide, C., Mitrana, V., Pérez-Jiménez, M., Sancho-Caparrini, F.: Hybrid networks of evolutionary processors. In: Cantú-Paz, E., Foster, J.A., Deb, K., Davis, L., Roy, R., O’Reilly, U.-M., Beyer, H.-G., Kendall, G., Wilson, S.W., Harman, M., Wegener, J., Dasgupta, D., Potter, M.A., Schultz, A., Dowsland, K.A., Jonoska, N., Miller, J., Standish, R.K. (eds.) GECCO 2003. LNCS, vol. 2723. Springer, Heidelberg (2003)
Margenstern, M., Mitrana, V., Jesús Pérez-Jímenez, M.: Accepting hybrid networks of evolutionary processors. In: Ferretti, C., Mauri, G., Zandron, C. (eds.) DNA 2004. LNCS, vol. 3384, pp. 235–246. Springer, Heidelberg (2005)
Pâun, G.: Computing with membranes. Journal of Computer and System Sciences 61, 108–143 (1998)
Navarrete, C., Echeandia, M., Anguiano, E., Ortega, A., Rojas, J.: Parallel simulation of NEPs on clusters. Proc. of Int. Conf. of Web Intelligence and Intelligent Agent Technology. IEEE Computer Society 3, 171–174 (2011)
Nishida, T.: Membrane algorithms: approximate algorithms for NP-complete optimization problems. In: Ciobanu, G., Păun, G., Pérez-Jiménez, M.J. (eds.) Applications of membrane computing, pp. 303–314. Springer, Heidelberg (2006)
Song, X., Wang, J.: An Approximate Algorithm Combining P Systems and Active Evolutionary Algorithms for Traveling Salesman Problems. International Journal of Computers Communications and Control 10(1), 89–99 (2014)
Zhang, G., Cheng, J., Gheorghe, M.: A membrane-inspired approximate algorithm for traveling salesman problems. Romanian Journal of Information Science and Technology 14(1), 3–19 (2011)
Zhou, F., Zhang, G., Rong, H., Gheorghe, M., Cheng, J., Ipate, F., Lefticaru, R.: A particle swarm optimization based on P systems. Proc. IEEE Sixth International Conference on Natural Computation (ICNC) 6, 3003–3007 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Sánchez Couso, J.R., Gómez Canaval, S., Batard Lorenzo, D. (2015). How to Search Optimal Solutions in Big Spaces with Networks of Bio-Inspired Processors. In: Rojas, I., Joya, G., Catala, A. (eds) Advances in Computational Intelligence. IWANN 2015. Lecture Notes in Computer Science(), vol 9094. Springer, Cham. https://doi.org/10.1007/978-3-319-19258-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-19258-1_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19257-4
Online ISBN: 978-3-319-19258-1
eBook Packages: Computer ScienceComputer Science (R0)