Stability analysis of the reproduction operator in bacterial foraging optimization

Theoretical Computer Science

Volumn 411, Issue 21, 2010, Pages 2127-2139

  Biswas, Arijit ^a   Das, Swagatam ^a   Abraham, Ajith ^b   Dasgupta, Sambarta ^a  

^a JADAVPUR UNIVERSITY   (India)

^b SCIENTIFIC NETWORK FOR INNOVATION AND RESEARCH EXCELLENCE   (United States)

Author keywords

Bacterial foraging; Computational chemotaxis; Foraging based optimization; Global optimization; Reproduction; Selection

Indexed keywords

BACTERIAL FORAGING; BACTERIAL FORAGING OPTIMIZATION; BACTERIAL POPULATION; COMPUTATIONAL CHEMOTAXIS; DISTRIBUTED OPTIMIZATION; EQUILIBRIUM POINT; OBJECTIVE FUNCTIONS; OPTIMIZATION PROBLEMS; REPRODUCTION OPERATOR; REPRODUCTIVE SYSTEMS; SELECTION MECHANISM; STABILITY ANALYSIS;

BACTERIA; BIOCHEMISTRY; EVOLUTIONARY ALGORITHMS; GLOBAL OPTIMIZATION; MATHEMATICAL OPERATORS; OPTIMIZATION; SYSTEM STABILITY;

BACTERIOLOGY;

EID: 77950553475     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2010.03.005     Document Type: Article

References (35)

1. Passino K.M. Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Systems Magazine (2002) 52-67
2. Liu Y., and Passino K.M. Biomimicry of social foraging bacteria for distributed optimization: models, principles, and emergent behaviors. Journal of Optimization Theory And Applications 115 3 (2002) 603-628
3. Kim D.H., Abraham A., and Cho J.H. A hybrid genetic algorithm and bacterial foraging approach for global optimization. Information Sciences 177 148 (2007) 3918-3937
4. Mishra S. A hybrid least square-fuzzy bacterial foraging strategy for harmonic estimation. IEEE Transactions on Evolutionary Computation 9 1 (2005) 61-73
5. M. Tripathy, S. Mishra, L.L. Lai, Q.P. Zhang, Transmission loss reduction based on FACTS and bacteria foraging algorithm, PPSN, 2006, pp. 222-231.
6. D.H. Kim, C.H. Cho, Bacterial foraging based neural network fuzzy learning, IICAI 2005, pp. 2030-2036.
7. Mishra S., and Bhende C.N. Bacterial foraging technique-based optimized active power filter for load compensation. IEEE Transactions on Power Delivery 22 1 (2007) 457-465
8. Tripathy M., and Mishra S. Bacteria foraging-based to optimize both real power loss and voltage stability limit. IEEE Transactions on Power Systems 22 1 (2007) 240-248
9. Bonabeau E., Dorigo M., and Theraulaz G. Swarm Intelligence: From Natural to Artificial Systems (1999), Oxford Univ. Press, New York
10. Kennedy J., Eberhart R., and Shi Y. Swarm Intelligence (2001), Morgan Kaufmann
11. J Kennedy, R. Eberhart, Particle swarm optimization. in: Proc. IEEE Int. Conf. Neural Networks., 1995, pp. 1942-1948.
12. Dorigo M., and Stiizle T. Ant Colony Optimization (2004), MIT Press, Cambridge, MA
13. Back T., Fogel D.B., and Michalewicz Z. Handbook of Evolutionary Computation (1997), IOP and Oxford University Press, Bristol, UK
14. Abraham A., Biswas A., Dasgupta S., and Das S. Analysis of reproduction operator in bacterial foraging optimization. IEEE Congress on Evolutionary Computation CEC 2008. IEEE World Congress on Computational Intelligence, WCCI 2008 (2008), IEEE Press, USA
15. Tang W.J., Wu Q.H., and Saunders J.R. A Novel Model for Bacteria Foraging in Varying Environments, ICCSA 2006. Lecture Notes in Computer Science vol. 3980 (2006) 556-565
16. Li M.S., Tang W.J., Tang W.H., Wu Q.H., and Saunders J.R. Bacteria foraging algorithm with varying population for optimal power flow. Evo Workshops 2007. Lecture Notes in Computer Science vol. 4448 (2007) 32-41
17. Biswas A., Dasgupta S., Das S., and Abraham A. Synergy of PSO and bacterial foraging optimization: a comparative study on numerical benchmarks. In: Corchado E., et al. (Ed). Innovations in Hybrid Intelligent Systems (Second International Symposium on Hybrid Artificial Intelligent Systems, HAIS 2007). Advances in Soft computing Series ASC 44 (2007), Springer Verlag, Germany 255-263
18. Dasgupta S., Das S., Abraham A., and Biswas A. Adaptive computational chemotaxis in bacterial foraging optimization: An analysis. IEEE Transactions on Evolutionary Computing 13 4 (2009) 919-941
19. Ulagammai L., Vankatesh P., Kannan P.S., and Padhy N.P. Application of bacteria foraging technique trained and artificial and wavelet neural networks in load forecasting. Neurocomputing (2007) 2659-2667
20. Mario A. Munoz, Jesus A. Lopez, E. Caicedo, Bacteria foraging optimization for dynamical resource allocation in a multizone temperature experimentation platform, in: Anal. and Des. of Intel. Sys. using SC Tech, ASC 41, 2007, pp. 427-435.
21. Acharya D.P., Panda G., Mishra S., and Lakhshmi Y.V.S. Bacteria Foaging Based Independent Component Analysis. International Conference on Computational Intelligence and Multimedia Applications (2007), IEEE Press
22. A. Chatterjee, F. Matsuno, Bacteria Foraging Techniques for Solving EKF-Based SLAM Problems.
23. Anwal R.P. Generalized Functions: Theory and Technique. 2nd ed. (1998), Birkhãuser, Boston, MA
24. Widder D.V. Advanced Calculus. new ed. (1990), Dover Publications Inc.
25. Murray J.D. Mathematical Biology (1989), Springer-Verlag, New York
26. Biswas A., Das S., Abraham A., and Dasgupta S. Analysis of the reproduction operator in an artificial bacterial foraging system. Applied Maths and Computation 215 9 (2010) 3343-3355
27. Okubo A. Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds. Advanced Biophysics 22 (1986) 1-94
28. M. Gopal, Digital Control and State Variable Methods, 2nd ed., Tata-McGraw-Hill.
29. Das S., Dasgupta S., Biswas A., Abraham A., and Konar A. On stability of the chemotactic dynamics in bacterial foraging optimization algorithm. IEEE Transactions on Systems Man and Cybernetics - Part A 39 3 (2009) 670-679
30. Biswas A., Dasgupta S., Das S., and Abraham A. A synergy of differential evolution and bacterial foraging algorithm for global optimization. Neural Network World 17 6 (2007) 607-626
31. Das S., Biswas A., Dasgupta S., and Abraham A. Bacterial foraging optimization algorithm: theoretical foundations, analysis, and applications. Foundations of Computational Intelligence Volume 3: Global Optimization. Studies in Computational Intelligence (2009), Springer Verlag, Germany. 978-3-642-01084-2 23-55
32. Kim D.-H., Abraham A., and Hirota K. Hybrid genetic algorithm and bacterial foraging approach for function optimization and robust tuning of PID controller with disturbance rejection. Hybrid Evolutionary Algorithms. In: Grosan C., et al. (Ed). Studies in Computational Intelligence vol. 75 (2007), Springer Verlag, Germany. 978-3-540-73296-9 171-199
33. Dasgupta S., Biswas A., Das S., Panigrahi B.K., and Abraham A. A micro-bacterial foraging algorithm for high-dimensional optimization. 2009 IEEE Congress on Evolutionary Computation. Trondheim, Norway (2009), IEEE Press 785-792
34. Das S., Chowdhury A., and Abraham A. A bacterial evolutionary algorithm for automatic data clustering. 2009 IEEE Congress on Evolutionary Computation. Trondheim, Norway (2009), IEEE Press 2403-2410
35. Das S., Dasgupta S., Biswas A., Abraham A., and Konar A. On stability of the chemotactic dynamics in bacterial foraging optimization algorithm. International Conference on Soft Computing as Transdisciplinary Science and Technology. CSTST 2008, Paris, France (2008), ACM Press. 978-1-60558-046-3 245-251