“…The Traveling Salesman Problem (TSP) is a classical combinatorial optimization problem that involves finding the shortest Hamiltonian cycle in a complete weighted graph. Its popularity stems from the fact that it belongs to the class of NP-hard problems and that it can model a variety of utilitarian issuesits asymmetric variant (characterized by the possibility of varying weights of edges connecting the same nodes), representing line infrastructure located in urban areas, has become the basis for many logistical problems (it models, for example, the process of planning the mobile collection of waste electrical and electronic equipment, which has been described by Mrówczyńska & Nowakowski, 2015;Nowakowski, Szwarc, & Boryczka, 2018, and the process of transport activities related to the acquisition of municipal waste, described by Płaczek & Szołtysek, 2008;Syberfeldt, Rogstrom, & Geertsen, 2015).…”