An improved approximation algorithm for optimal routes generation in public transport network

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 perform various users' preferences. Effectiveness of the improved method w as compared in two aspects: time complexity and quality of results, with another two algorithms - previous version of Routes Generation Matrix Algorithm (RGMA) and Routes Generation Genetic Algorithm (RGGA). RGMA and RGGA algorithms were described in previousauthor's papers (9,10).

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