A method packs input rectangles into a target rectangle. The rectangles are permuted into one or more an ordered list according to dimensions of the rectangles, e.g., width, height, perimeter, and area. The rectangles are then marked as unaccepted. A next unaccepted rectangle is selected from the ordered list beginning with a first rectangle in the list. Accepting the next rectangle if it is the last unaccepted rectangles, and otherwise, accepting the next rectangle with a probability p, and marking the next rectangle as accepted, and repeating the steps until all rectangles have been accepted.