Multisystem Optimization for an Integrated Production Scheduling with Resource Saving Problem in Textile Printing and Dyeing

Algorithm 2

One generation of the proposed MSO algorithm.

	Calculate the similarity levels of objectives and constraints between each pair of subsystems
	Calculate the rank of each solution yik in subsystem i
	Calculate migration probability λik, which is linearly proportional to the rank of yik
	For each subsystem i
	Perform within-subsystem evolution using the modified NSGA-II
	Find a suitable subsystem j to pair with subsystem i based on similarity levels of objectives and constraints
	For each solution yik
	Calculate partial distances {} between yik and each solution in subsystem j
	For each solution variable s
	Use λik to decide whether or not to immigrate to yik
	If migrating, then
	Select emigrating solution yjl using roulette wheel selection, and its probability is proportional to partial distances {}
	yik (s) ⟵ yjl (s)
	End if
	End for
	End for
	End for