Minimizing the passengers’ traveling time in the stop location problem

Emilio Carrizosa, Jonas Harbering () and Anita Schöbel
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Emilio Carrizosa: Universidad de Sevilla
Jonas Harbering: Georg-August Universität Göttingen
Anita Schöbel: Georg-August Universität Göttingen

Journal of the Operational Research Society, 2016, vol. 67, issue 10, 1325-1337

Abstract: Abstract In this paper we consider the location of stops along the edges of an already existing public transportation network. The positive effect of new stops is given by the better access of the passengers to the public transport network, while the passengers’ traveling time increases due to the additional stopping activities of the trains, which is a negative effect for the passengers. The problem has been treated in the literature where the most common model is to cover all demand points with a minimal number of new stops. In this paper, we follow this line and seek for a set of new stops covering all demand points but instead of minimizing the number of new stops we minimize the additional passengers’ traveling time due to the new stops. For computing this additional traveling time we do not only take the stopping times of the vehicles but also acceleration and deceleration of the vehicles into account. We show that the problem is NP-hard, but we are able to derive a finite candidate set and two tractable IP formulations. For linear networks we show that the problem is polynomially solvable. We also discuss the differences to the common models from literature showing that minimizing the number of new stops does not necessarily lead to a solution with minimal additional traveling times for the passengers. We finally provide a case study showing that our new model decreases the traveling times for the passengers while still achieving the minimal number of new stops.

Keywords: integer programming; stop location; passenger traveling time; public transportation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1057/jors.2016.3

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