“…Numerous researchers have an interest in meta-heuristic algorithms due to their effectiveness and applicability in solving real-world problems [ 24 , 25 , 26 , 27 ]. Therefore, they have been used in many different research areas [ 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ]. This paper utilizes GA and PSO, which have been extensively used in literature reviews for various types of vehicle routing problems [ 39 ], and they have demonstrated their capability in handling complex problems [ 40 , 41 ].…”