Hierarchical Multiobjective Dispatching Strategy for the Microgrid System Using Modified MOEA/D

Algorithm 2

Replacing the parent solution.

	Require:
	j: index of the selected subproblem for reproduction.
: indices of the neighbor subproblems of the j-th subproblem,
	N: size of the evolutionary population y: newly generated offspring
	z: reference point
: direction vector : decision vector
: objective function of i-th sub-problem
	n r: maximum number of the replaced parent solutions by one offspring solutions
	Output: Population: objective function values:
	Step 1 Initialization:
	Step 2 Find the sub-problem of maximal fitness improvement
	For i = 1 to N do
	If , then and
	Step 3 Replace a parent solution:
	If , then set x^i = y, F(x^i) = F(y) and
	Step 4 Replace improvable parent solutions randomly:
	While and do
(1)	Randomly select an index i from
(2)	If then set , and
(3)	Delete i from
	End of While