Particle Swarm Optimization Based on Smoothing Approach for Solving a Class of Bi-Level Multiobjective Programming Problem
By:
Qingping He and Yibing Lv
References
- 1. Dempe, S. Foundation of Bi-Level Programming. London, Kluwer Academic Publishers, 2002.
- 2. Stoilova, K., T. Stoilov, V. Ivanov. Practical Bi-Level Optimization as a Tool for Implementation of Intelligent Transportation Systems. – Cybernetics and Information Technologies, Vol. 17, 2017, No 2, pp. 97-105.
- 3. Lv, Y., Z. Chen, Z. Wan. A Penalty Function Method Based on Bi-Level Programming for Solving Inverse Optimal Value Problems. – Applied Mathematics Letters, Vol. 23, 2010, pp. 170-175.10.1016/j.aml.2009.09.007
- 4. Yang, H., M. G. H. Bell. Transport Bi-Level Programming Problems: Recent Methodological Advances. – Transportation Research, Vol. 35, 2001, pp. 1-4.
- 5. Dempe, S., A. B. Zemkoho. The Bi-Level Programming Problem: Reformulations, Constraint Qualifications and Optimality Conditions. – Mathematical Programming, Vol. 138, 2013, No 1-2, pp. 447-473.
- 6. Sinha, A., P. Malo, K. Deb. A Review on Bi-Level Optimization: From Classical to Evolutionary Approaches and Applications. – IEEE Transactions on Evolutionary Computation, PP(99), 2017, pp. 1-1.
- 7. Colson, B., P. Marcotte, G. Savard. An Overview of Bi-Level Optimization. – Annals of Operations Research, Vol. 153, 2007, pp. 235-256.
- 8. Nishizaki, I., M. Sakawa. Stackelberg Solutions to Multiobjective Two-Level Linear Programming Problem. – Journal of Optimization Theory and Applications, Vol. 103, 1999, No 1, pp. 161-182.
- 9. Lv, Y. An Exact Penalty Function Approach for Solving the Linear Bi-Level Multiobjective Programming Problem. – Filomat, Vol. 29, 2015, No 4, pp. 773-779.
- 10. Lv, Y., Z. Wan. Solving Linear Bi-Level Multiobjective Programming Problem via Exact Penalty Function Approach. – Journal of Inequalities and Applications, Vol. 2015, 2015, 258.
- 11. Ankhili, Z., A. Mansouri. An Exact Penalty on Bi-Level Programs with Linear Vector Optimization Lower Level. – European Journal of Operational Research, Vol. 197, 2009, No 1, pp. 36-41.
- 12. Calvete, H., C. Gale. Linear Bi-Level Programs with Multi Objectives at the Upper Level. – Journal of Computational and Applied Mathematics, Vol. 234, 2010, pp. 950-959.
- 13. Lv, Y., Z. Wan. A Smoothing Method for Solving Bi-Level Multiobjective Programming Problems. – Journal of the Operations Research Society of China, Vol. 2, 2014, No 4, pp. 511-525.
- 14. Eichfelder, G. Multiobjective Bi-Level Optimization. – Mathematical Programming, Vol. 124, 2010, pp. 419-449.
- 15. Deb, K., A. Sinha. Solving Bi-Level Multiobjective Optimization Problems Using Evolutionary Algorithms. – In: Lecture Notes in Computer Science, Evolutionary Multi-Criterion Optimization, Vol. 5467, 2009, pp. 110-124.
- 16. Sinha, A., K. Deb. Towards Understanding Evolutionary Bi-Level Multiobjective Optimization Algorithm. Technical Report KanGAL, Report No 2008006, 2008.
- 17. Deb, K., A. Sinha. An Evolutionary Approach for Bi-Level Multiobjective Problems. – Communications in Computer and Information Science, Vol. 35, 2009, pp. 17-24.
- 18. Sinha, A. Bi-Level Multi-Objective Optimization Problem Solving Using Progressively Interactive EMO. – In: Lecture Notes in Computer Science, Evolutionary Multi-Criterion Optimization, Vol. 6576, 2011, pp. 269-284.
- 19. Kennedy, J., R. Eberhart. Particle Swarm Optimization. Perth, Aust: IEEE, Piscataway, NJ, USA, 1995.
- 20. Zhang, T., T. S. Hu, Y. Zheng, X. N. Guo. An Improved Particle Swarm Optimization for Solving Bi-Level Multiobjective Programming Problem. – Journal of Applied Mathematics, Vol. 2012, 2012.
- 21. Zhang, T., T. S. Hu, Y. Zheng, X. N. Guo. Solving Bi-Level Multiobjective Programming Problem by Elite Quantum Behaved Particle Swarm Optimization. – Abstract and Applied Analysis, Vol. 2012, 2012, ID 102482.
- 22. Sheng, H., W. Zhong, N. Xu. A Multiobjective Analysis of the Bi-Level Decision Making Problem and its Decision Method. – Journal of Systems Engineering, Vol. 11, 1996, No 4, pp. 1-6.
- 23. Zheng, Y., Z. Wan. A Fuzzy Interactive Method for a Class of Bi-Level Multiobjective Programming Problem. – Expert Systems with Applications, Vol. 38, 2011, No 8, pp. 10384-10388.
- 24. Lin, D., Y. Chou, M. Li. Multiobjective Evolutionary Algorithm for Multi-Objective Bi-Level Programming Problem. – Journal of Systems Engineering, Vol. 22, 2007, No 2, pp. 181-184.
- 25. Teng, C., L. Li, H. Li. A Class of Genetic Algorithms on Bi-Level Multiobjective Decision Making Problem. – Journal of Systems Science and Systems Engineering, Vol. 9, 2000, No 3, pp. 290-293
- 26. Li, Z. H., L. L. He, H. Zhang. A Novel Social Network Structural Balance Based on the Particle Swarm Optimization Algorithm. – Cybernetics and Information Technologies, Vol. 15, 2015, No 2, pp. 23-35.
- 27. Li, H. A Teaching Quality Evaluation Model Based on a Wavelet Neural Network Improved by Particle Swarm Optimization. – Cybernetics and Information Technologies, Vol. 14, 2014, No 3, pp. 110-120.
- 28. Saberchenari, K., H. Abghari, H. Tabri. Application of PSO Algorithm in Short-Term Optimization of Reservoir Operation. – Environmental Monitoring and Assessment, Vol. 188, 2016, No 12, p. 667.
- 29. Dong, Y., C. S. Wu, H. M. Guo. Particle Swarm Optimization Algorithm with Adaptive Chaos Perturbation. – Cybernetics and Information Technologies, Vol. 15, 2015, No 6, pp. 70-80.
- 30. Su, Y. X., R. Chi. Multi-Objective Particle Swarm-Differential Evolution Algorithm. – Neural Computing and Applications, Vol. 28, 2017, No 2, pp. 407-418.
Language: English
Page range: 59 - 74
Published on: Oct 4, 2017
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Related subjects:
© 2017 Qingping He, Yibing Lv, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.