Zeszyty Naukowe Politechniki Białostockiej. Informatyka an Improved Genetic Algorithm for Solving the Selective Travelling Salesman Problem on a Road Network

The Selective Travelling Salesman Problem (STSP) is a modified version of the Travelling Salesman Problem (TSP) where it is not necessary to visit all vertices. Instead of it, with each vertex a number meaning a profit is associated. The problem is to find a cycle which maximizes collected profit but does not exceed a given cost constraint. A direct application of the STSP, e.g. in Intelligent Transportation Systems, is finding an optimal tour in road networks. However, while the classic STSP is defined on a complete graph, a road network is in general not complete and often has a rather sparse edge set. This paper presents the STSP defined on a road network (R-STSP). Since the R-STSP is NP-hard, the improved genetic algorithm (IGA) is proposed which is the next version of our previous GA. The main aim of this paper is to investigate the role of the deletion mutation in the performance of the IGA.