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Particle Swarm Optimization Based on Smoothing Approach for Solving a Class of Bi-Level Multiobjective Programming Problem


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1. Dempe, S. Foundation of Bi-Level Programming. London, Kluwer Academic Publishers, 2002.Search in Google Scholar

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. 97-105.10.1515/cait-2017-0019Search in Google Scholar

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.2009.09.007Open DOISearch in Google Scholar

4. Yang, H., M. G. H. Bell. Transport Bi-Level Programming Problems: Recent Methodological Advances. – Transportation Research, Vol. 35, 2001, pp. 1-4.10.1016/S0191-2615(00)00025-4Search in Google Scholar

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. 447-473.10.1007/s10107-011-0508-5Search in Google Scholar

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.Search in Google Scholar

7. Colson, B., P. Marcotte, G. Savard. An Overview of Bi-Level Optimization. – Annals of Operations Research, Vol. 153, 2007, pp. 235-256.10.1007/s10479-007-0176-2Search in Google Scholar

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. 161-182.10.1023/A:1021729618112Search in Google Scholar

9. Lv, Y. An Exact Penalty Function Approach for Solving the Linear Bi-Level Multiobjective Programming Problem. – Filomat, Vol. 29, 2015, No 4, pp. 773-779.10.2298/FIL1504773LSearch in Google Scholar

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.Search in Google Scholar

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. 36-41.10.1016/j.ejor.2008.06.026Search in Google Scholar

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. 950-959.10.1016/j.cam.2008.12.010Search in Google Scholar

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. 511-525.10.1007/s40305-014-0059-6Search in Google Scholar

14. Eichfelder, G. Multiobjective Bi-Level Optimization. – Mathematical Programming, Vol. 124, 2010, pp. 419-449.10.1007/s10107-008-0259-0Search in Google Scholar

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.Search in Google Scholar

16. Sinha, A., K. Deb. Towards Understanding Evolutionary Bi-Level Multiobjective Optimization Algorithm. Technical Report KanGAL, Report No 2008006, 2008.Search in Google Scholar

17. Deb, K., A. Sinha. An Evolutionary Approach for Bi-Level Multiobjective Problems. – Communications in Computer and Information Science, Vol. 35, 2009, pp. 17-24.10.1007/978-3-642-02298-2_3Search in Google Scholar

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.Search in Google Scholar

19. Kennedy, J., R. Eberhart. Particle Swarm Optimization. Perth, Aust: IEEE, Piscataway, NJ, USA, 1995.Search in Google Scholar

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, 2012.10.1155/2012/626717Search in Google Scholar

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.Search in Google Scholar

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.Search in Google Scholar

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. 10384-10388.10.1016/j.eswa.2011.02.069Search in Google Scholar

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.Search in Google Scholar

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. 290-293Search in Google Scholar

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. 23-35.10.1515/cait-2015-0026Search in Google Scholar

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. 110-120.10.2478/cait-2014-0037Search in Google Scholar

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. 667.10.1007/s10661-016-5689-127844241Search in Google Scholar

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. 70-80.10.1515/cait-2015-0068Search in Google Scholar

30. Su, Y. X., R. Chi. Multi-Objective Particle Swarm-Differential Evolution Algorithm. – Neural Computing and Applications, Vol. 28, 2017, No 2, pp. 407-418.10.1007/s00521-015-2073-ySearch in Google Scholar

eISSN:
1314-4081
Language:
English
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Journal Subjects:
Computer Sciences, Information Technology