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1205. New mathematical modelling for setting frequency of bus transportation

Invited abstract in session WB-55: Public transportation , stream Transportation.

Wednesday, 10:30-12:00
Room: S02 (building: 101)

Authors (first author is the speaker)

1. Glaydston Ribeiro
COPPE, Federal University of Rio de Janeiro
2. Joyce Caetano
Engenharia de Transportes, Universidade Federal do Rio de Janeiro (UFRJ)
3. Laura Bahiense
Federal University of Rio de Janeiro
4. Glaubos Climaco
Federal University of Rio de Janeiro

Abstract

The Frequency Setting Problem (FSP) represents a key element in transit design, specifically in public transportation operations. It consists of determining the number of departures to meet passengers' demands during a specific period, ensuring the profitability of the companies. However, the FSP also involves different interests that commonly conflict, making the planning of the transportation system complex. When this plurality is not correctly captured, we have an imbalance between demand and supply. So, we are interested in addressing these distinct objectives through a sustainable perspective, with an emphasis on buses.

This research introduces a mathematical model and optimization techniques to improve bus route frequency, minimizing social, operational, and environmental costs. The model comprises a mixed-integer non-linear formulation, and the optimization techniques involve linearization and a heuristic approach, which is based on sequentially solving relaxed mixed integer subproblems and fixing integer variables throughout the process. To validate our proposal, we consider the bus routes connecting the central and oceanic regions of Niterói, Brazil.

The findings suggest that the combined approach is effective in real-world scenarios, enhancing sustainable mobility through optimized fleet allocation according to current demand. The next research steps include creating a Multi-Criteria Decision Method (MCDA) to support operator decision-making.

Keywords

Status: accepted

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