Automated aggregation and omission of objectives for tackling many-objective problems

Lecture Notes in Economics and Mathematical Systems

Volumn 638, Issue , 2010, Pages 81-102

  Brockhoff, Dimo ^a   Zitzler, Eckart ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79960047817     PISSN: 00758442     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-10354-4_6     Document Type: Article

References (23)

1. Beume N, Naujoks B, Emmerich M (2007) SMS-EMOA: multiobjective selection based on dominated hypervolume. Eur J Oper Res 181:1653-1669
2. Bleuler S, Laumanns M, Thiele L, Zitzler E (2003) PISA - a platform and programming language independent interface for search algorithms. In: Fonseca CM, et al (eds) Conference on evolutionary multi-criterion optimization (EMO 2003). LNCS, vol 2632. Springer, Berlin, pp 494-508
3. Bringmann K, Friedrich T (2008) Approximating the volume of unions and intersections of high-dimensional geometric objects. In: Hong SH, Nagamochi H, Fukunaga T (eds) International symposium on algorithms and computation (ISAAC 2008). LNCS, vol 5369. Springer, Berlin, pp 436-447
4. Brockhoff D, Zitzler E (2007a) Improving hypervolume-based multiobjective evolutionary algorithms by using objective reduction methods. In: Congress on evolutionary computation (CEC 2007). IEEE Press, pp 2086-2093
5. Brockhoff D, Zitzler E (2007b) Offline and online objective reduction in evolutionary multiob-jective optimization based on objective conflicts. TIK Report 269, Computer Engineering and Networks Laboratory (TIK), ETH Zurich
6. Brockhoff D, Zitzler E (2009) Objective reduction in evolutionary multiobjective optimization: theory and applications. Evol Comput 17(2):135-166
7. Brockhoff D, Friedrich T, Hebbinghaus N, Klein C, Neumann F, Zitzler E (2007) Do additional objectives make a problem harder? In: Thierens D, et al (eds) Genetic and evolutionary computation conference (GECCO 2007). ACM Press, New York, NY, USA, pp 765-772
8. Conover WJ (1999) Practical nonparametric statistics, 3rd edn. Wiley, New York
9. Deb K, Saxena D (2006) Searching for Pareto-optimal solutions through dimensionality reduction for certain large-dimensional multi-objective optimization problems. In: Congress on evolutionary computation (CEC 2006). IEEE Press, pp 3352-3360
10. Deb K, Thiele L, Laumanns M, Zitzler E (2005) Scalable test problems for evolutionary multi-objective optimization. In: Abraham A, Jain R, Goldberg R (eds) Evolutionary multiobjective optimization: theoretical advances and applications, chap 6. Springer, Berlin, pp 105-145
11. Fleming PJ, Purshouse RC, Lygoe RJ (2005) Many-objective optimization: an engineering design perspective. In: Coello Coello CA, et al (eds) Conference on evolutionary multi-criterion optimization (EMO 2005). LNCS, vol 3410. Springer, Berlin, pp 14-32
12. Huband S, Hingston P, Barone L, While L (2006) A review of multiobjective test problems and a scalable test problem toolkit. IEEE Trans Evol Comput 10(5):477-506
13. Hughes EJ (2007) Radar waveform optimization as a many-objective application benchmark. In: Conference on evolutionary multi-criterion optimization (EMO 2007). LNCS, vol 4403. Springer, Berlin, pp 700-714
14. Kunzli S, Bleuler S, Thiele L, Zitzler E (2004) A computer engineering benchmark application for multiobjective optimizers. In: Coello Coello CA, Lamont G (eds) Applications of multi-objective evolutionary algorithms. World Scientific, Singapore, pp 269-294
15. Laumanns M, Thiele L, Deb K, Zitzler E (2002) Combining convergence and diversity in evolutionary multiobjective optimization. Evol Comput 10(3):263-282
16. Laumanns M, Thiele L, Zitzler E (2004) Running time analysis of evolutionary algorithms on a simplified multiobjective Knapsack problem. Nat Comput 3(1):37-51
17. Lopez Jaimes A, Coello Coello CA, Chakraborty D (2008) Objective reduction using a feature selection technique. In: Conference on genetic and evolutionary computation (GECCO 2008). ACM, New York, USA, pp 673-680, doi http://doi.acm.org/10.1145/1389095.1389228
18. Purshouse RC, Fleming PJ (2003) Conflict, harmony, and independence: relationships in evolutionary multi-criterion optimisation. In: Conference on evolutionary multi-criterion optimization (EMO 2003). LNCS, vol 2632. Springer, Berlin, pp 16-30
19. Saxena DK, Deb K (2007) Non-linear dimensionality reduction procedures for certain large-dimensional multi-objective optimization problems: employing correntropy and a novel maximum variance unfolding. In: Conference on evolutionary multi-criterion optimization (EMO 2007). LNCS, vol 4403. Springer, Berlin, pp 772-787, doi 10.1007/978-3-540-70928-2 58
20. Sulflow A, Drechsler N, Drechsler R (2007) Robust multi-objective optimization in high dimensional spaces. In: Conference on evolutionary multi-criterion optimization (EMO 2007). LNCS, vol 4403. Springer, Berlin, pp 715-726, doi 10.1007/978-3-540-70928-2 54
21. Zitzler E, Kunzli S (2004) Indicator-based selection in multiobjective search. In: Yao X, et al (eds) Conference on parallel problem solving from nature (PPSN VIII). LNCS, vol 3242. Springer, Berlin, pp 832-842
22. Zitzler E, Thiele L (1998) Multiobjective optimization using evolutionary algorithms - a comparative case study. In: Conference on parallel problem solving from nature (PPSN V), Amsterdam, pp 292-301
23. Zitzler E, Brockhoff D, Thiele L (2007) The hypervolume indicator revisited: on the design of Pareto-compliant indicators via weighted integration. In: Obayashi S, et al (eds) Conference on evolutionary multi-criterion optimization (EMO 2007). LNCS, vol 4403. Springer, Berlin, pp 862-876