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Travelling salesman problem with profits is a version of a classic travelling salesman problem 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 in a graph which maximizes collected profit but does not exceed a given cost constraint. This problem is NP-hard. Additional assumptions to this problem...
This paper presents a new version of Routes Generation Matrix Algorithm, called Routes Generation Matrix Improved Algorithm (RGMIA), for determining routes with optimal travel time in public transport network. The method was implemented and tested on the real public transport network in Warsaw city. This network was completed with walk links and therefore resultant routes are more practical and can...
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...
The purpose of this work was to compare two forms of genetic algorithm (complete and incomplete graph version) which solves Orienteering Problem (OP). While in most papers concerning OP graph is complete and satisfies triangle inequality, in our versions such assumptions may not be satisfied. It could be more practical as transport networks are graphs which do not have to satisfy those conditions...
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