Appling the Roulette Wheel Selection Approach to Address the Issues of Premature Convergence and Stagnation in the Discrete Differential Evolution Algorithm

Algorithm 2

EDDE algorithm.

	t: Iteration
	t max: Maximum number of iterations
	S: Solution in group
	||: Maximum number of solutions in group
	W max: Maximum number of wait for improvement of the solution
	Population Initialization Stage
	For t = 1 to tmax
	Find the best solution by using equation (1)
	Divide population to groups based on nonmatching with by using Algorithm 1
	Determining solutions group by using RWS
	For S = 1 to ||
	Mutation stage by using equation (2)
	Crossover stage by using equation (9)
	Selection stage by using equation (10)
	Check solution stagnation stage W by using equation (11)
	If keep same the solution
	Wi = Wi + 1
	Else
	Wi = 0
	End If
	If Wi > Wmax
	Regenerate the solution at random after 10 trials
	Wi = 0
	End If
	End For
	End For