“…The effectiveness of the proposed branch pipe collaborative layout method has been validated through a comparison with the layout methods and algorithm performance described in reference [41]. The layout space of this case study is a cube with dimensions approximately 40 in length, width, and height, consisting of six obstacles (ship equipment) with their respective diagonal vertex coordinates as follows: [{(6, 12, 1), (24,16,40)}O1, {(32, 12, 1), (40,16,40)}O2, {(1, 26, 1), (8,30,40)}O3, { (16,26,1), (34,30,40)}O4, {(1, 1, 12), (24,40,16)}O5, { (16,1,26), (40,40,30)}O6]. There are four interfaces with the following coordinates in this case: (20,40,20), (20,1,1), (1,40,40), and (40,20,30).…”