Using MOPSO to solve multiobjective bilevel linear problems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 7461 LNCS, Issue , 2012, Pages 332-339

  Alves, Maria João ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

BI OBJECTIVES; BILEVEL; BILEVEL LINEAR PROGRAMMING; LINEAR PROBLEMS; MULTI OBJECTIVE; MULTI OBJECTIVE PARTICLE SWARM OPTIMIZATION; MULTIPLE OBJECTIVE FUNCTIONS; PARETO FRONT; SCALARIZING FUNCTION; SELECTION TECHNIQUES;

ALGORITHMS; ARTIFICIAL INTELLIGENCE;

MULTIOBJECTIVE OPTIMIZATION;

EID: 84866414156     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-32650-9_35     Document Type: Conference Paper

References (15)

1. Alvarez-Benitez, J.E., Everson, R.M., Fieldsend, J.E.: A MOPSO Algorithm Based Exclusively on Pareto Dominance Concepts. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 459-473. Springer, Heidelberg (2005)
2. Alves, M.J., Dempe, S., Júdice, J.J.: Computing the Pareto frontier of a bi-objective bilevel linear problem using a multiobjective mixed-integer programming algorithm. Optimization 61(3), 335-358 (2012)
3. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evolut. Comput. 6(2), 182-197 (2002)
4. Deb, K., Sinha, A.: An efficient and accurate solution methodology for bilevel multi-objective programming problems using a hybrid evolutionary-local- search-algorithm. Evol. Comput. J. 18(3), 403-449 (2010)
5. Durillo, J.J., García-Nieto, J., Nebro, A.J., Coello Coello, C.A., Luna, F., Alba, E.: Multi-Objective Particle Swarm Optimizers: An Experimental Comparison. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 495-509. Springer, Heidelberg (2009)
6. Eichfelder, G.: Multiobjective bilevel optimization. Math. Program. 123(2), 419-449 (2010)
7. Halter, W., Mostaghim, S.: Bilevel optimization of multi-component chemical systems using particle swarm optimization. In: Proc. of the 2006 Congress on Evolutionary Computation (CEC 2006), pp. 1240-1247. IEEE Press (2006)
8. Li, X.: Better Spread and Convergence: Particle Swarm Multiobjective Optimization Using the Maximin Fitness Function. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3102, pp. 117-128. Springer, Heidelberg (2004)
9. Moshirvaziri, K., Amouzegar, M.A., Jacobsen, S.E.: Test problem construction for linear bilevel programming problems. J. Global Optim. 8, 235-243 (1996)
10. Osman, M.S., Abd El-Wahed, W.F., El Shafei, M.M., Abd El Wahab, H.B.: An approach for solving multi-objective bi-level linear programming based on genetic algorithm. J. Appl. Sci. Res. 6(4), 336-344 (2010)
11. Raquel, C.R., Naval Jr., P.C.: An effective use of crowding distance in multiobjective particle swarm optimization. In: Beyer, H.-G., Reilly, U.-M.O. (eds.) GECCO 2005, pp. 257-264. ACM Press (2005)
12. Reyes-Sierra, M., Coello Coello, C.A.: Improving PSO-Based Multi-objective Optimization Using Crowding, Mutation and ε-Dominance. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 505-519. Springer, Heidelberg (2005)
13. Shi, X., Xia, H.: Model and interactive algorithm of bi-level multi-objective decision-making with multiple interconnected decision makers. J. Multi-Criteria Decsion Analysis 10, 27-34 (2001)
14. Wierzbicki, A.: Reference points in vector optimization and decision support. Tech. Rep. IR-98-017, IIASA, Laxenburg, Austria (1998)
15. Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: A comparative case study and the strength Pareto approach. IEEE Trans. Evolut. Comput. 3(4), 257-271 (1999)