MultiObjective Genetic Algorithm

P. J., Green, D. V. S. (2002) Combinatorial library design using a multiobjective genetic algorithm. J Chem Inf Comput Sci 42, 375-385. 

Deb, K., Pratap, A., Agarwal, S., Meyari-van, T. (2002) A fast and elitist multiobjective genetic algorithm. NSGA-II. IEEE Trans Evol Comput 6(2), 182-197. 

Optimization of WWTP control by means of multiobjective genetic algorithms and sensitivity analysis... 

Poloni, C., Giurgevich, A., Onesti, L., and Pediroda, V. (2000). Hybridization of a multiobjective genetic algorithm, a neural network, and a classical optimizer for complex design problem in fluid dynamics. Comp. Methods App. Mech. and Eng., 186, (2-4), 403-420. 

Vainio, M.J., Johnson, M.S. Generating conformer ensembles using a multiobjective genetic algorithm. J. Chem. Inf. Mod. 47, 2462-2474 (2007)... 

Signal grouping for sensor validation a multiobjective genetic algorithm approach. HWR-852, OECD Halden Reactor Project. 

However, from this point the approach discussed in this paper departs from the one presented in Moustafa et al. (2004). Firstly, it will be considered two objectives to optimize the expected long-run cost rate and the expected availability, whereas in Moustafa et al. (2004) just the expected long-nm cost rate is minimized. Secondly to Moustafa et al. (2004), in order to handle this multiobjective problem, a multiobjective genetic algorithm (multiobjective GA) is applied. 

Table 2. Multiobjective genetic algorithm parameters and rules.

Carlos, S., Martorell, S., Villanueva, J.F., Serradell, V. Sanchez, A. A multiobjective genetic algorithm for RAMS + C optimization with uncertain variables. Proceedings of the 2007 European Safety and Reliability Conference (ESREL 2007), Stavanger, Norway, 25-27 June 2007 115-121. 

Toshinsky, V.G., Sekimoto H., and G.I. Toshinsky. A method to improve multiobjective genetic algorithm optimization of a self-fuel-providing LMFBR by niche induction among nondominated solutions. Annals of Nuclear Energy, 2000, 27 397-410. 

The multiobjective optimization process was carried out through exhaustive searching using a simple multiobjective genetic algorithm (MOGA). The fitness... 

Garcia, P. A. A., Jacinto, C. M. C. Droguett, E. A. L. 2005, A multiobjective genetic algorithm for blowout preventer test scheduling optimization. In Proceeding of Applied Simulation and Modelling, Benalmadena, Spain. 

Combinatorial Library Design Using a Multiobjective Genetic Algorithm. 

Deb, K., Pratap, A., Agarwal, S., Meyarivan, T. A fast and elitist multiobjective genetic algorithm NSGA-H. IEEE Trans. Evol. Comput. 6(2), 182-197 (2002) Coello Coello, C.A., Lechuga, M. MOPSO a proposal for multiple objective particle swarm optimization. In Proceedings of the 2002 Congress on Evolutionary Computation, 2002. CEC 2002, vol. 2, pp. 1051-1056 (2002)... 

Paravelli L (1989) Response-surface approach for reliability analysis. J Eng Mech 115 2763-2781 Fujimura K, Kiureghian AD (2007) Tail-equivalent linearization method for nonlinear random vibration. Probabilist Eng Mech 22 63-76 Furuta H, Kameda T (2006) Application of multiobjective genetic algorithm to bridge maintenance. In Ceragioli F, Dontchev A, Futura H, Marti K, Pandolfi L (eds) System modeling and optimization. 

---