Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC

Table 1

Cases used to represent the parameter combination for evolutionary operators of MOAs and their assigned values.

	NSGA II		SPEA II		PESA II		AbYSS
Population size	50 and 100		50 and 100		50 and 100		50 and 100
Evolution number	1,000 and 5,000		1,000 and 5,000		1,000 and 5,000		1,000 and 5,000
Crossover probability	1.00^1	1.00^5	1.00^1	1.00^5	1.00^1	1.00^5	1.00^1	1.00^5
	0.25^2	0.25^6	0.25^2	0.25^6	0.25^2	0.25^6	0.25^2	0.25^6
	1.00^3	1.00^7	1.00^3	1.00^7	1.00^3	1.00^7	1.00^3	1.00^7
	0.25^4	0.25^8	0.25^4	0.25^8	0.25^4	0.25^8	0.25^4	0.25^8
Mutation probability	1.00^1	1.00^5	1.00^1	1.00^5	1.00^1	1.00^5	1.00^1	1.00^5
	0.25^2	0.25^6	0.25^2	0.25^6	0.25^2	0.25^6	0.25^2	0.25^6
	0.25^3	0.25^7	0.25^3	0.25^7	0.25^3	0.25^7	0.25^3	0.25^7
	1.00^4	1.00^8	1.00^4	1.00^8	1.00^4	1.00^8	1.00^4	1.00^8
Crossover Distribution Index	30^1	15^5	30^1	15^5	30^1	15^5	30^1	15^5
	8^2	4^6	8^2	4^6	8^2	4^6	8^2	4^6
	30^3	15^7	30^3	15^7	30^3	15^7	30^3	15^7
	8^4	4^8	8^4	4^8	8^4	4^8	8^4	4^8
Mutation Distribution Index	30^1	15^5	30^1	15^5	30^1	15^5	30^1	15^5
	8^2	4^6	8^2	4^6	8^2	4^6	8^2	4^6
	8^3	4^7	8^3	4^7	8^3	4^7	8^3	4^7
	30^4	15^8	30^4	15^8	30^4	15^8	30^4	15^8
Reference set I	—		—	—	—	—	20	20
Reference set II	—		—	—	—	—	20	20
Archive size	—		10	20	40	20	40	40
Bisection II	—		—	—	10	5	—	—