To Wait or Not to Wait? The Bicriteria Delay Management Problem in Public Transportation

Andreas Ginkel () and Anita Schöbel ()
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Andreas Ginkel: Institut für Numerische und Angewandte Mathematik, Georg-August Universität, Göttingen, Lotzestr 16-18, D-37083, Göttingen, Germany
Anita Schöbel: Institut für Numerische und Angewandte Mathematik, Georg-August Universität, Göttingen, Lotzestr 16-18, D-37083, Göttingen, Germany

Transportation Science, 2007, vol. 41, issue 4, 527-538

Abstract: Assume that a train reaches a station with delay. At the station there is a bus ready to depart. The question of whether the bus should wait for the delayed train or depart on time is called the delay management problem . Different single objective functions for this problem have been introduced and analyzed. In this paper, we present a bicriteria model for the delay management problem, taking into account both the delay of the vehicles and the number of passengers who miss a connection. Our model does not depend on detailed data about the passengers and hence can be easily implemented in practice.To analyze the problem, we present an integer programming formulation and a graph-theoretic approach that is based on discrete time/cost trade-off project networks. Using results of project planning, we develop an efficient solution method. We tested our procedure using real-world data. The results show the applicability of the approach.

Keywords: public transit operations; delay management; discrete time-cost trade-off problem (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:41:y:2007:i:4:p:527-538

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