Highlights Models the scheduling problem as an optimization problem with congruence constraints. Proposes a new graph representation of the problem. Provides optimal inapproximability results for the optimization problem. Exposes the close bounds that relate this problem with the MAX DICUT problem. Customizes and applies approximation algorithms for MAX DICUT in real case studies.

    Abstract This paper aims to synchronize timetables in a transit network so as to minimize the total passenger transfer waiting time. Assuming a fixed headway for each line, we first formulate the problem as an optimization problem with congruence constraints. We show that the problem is NP-hard, and investigate several special cases of the problem that are solvable in polynomial time. Furthermore, we show that the local search for the general problem is equivalent to the well-studied maximum directed cut problem. As such, we use an approximation algorithm for the maximum directed cut problem to solve the timetable synchronization problem. We assess the quality of the algorithm on a real-world case study, and show that our algorithm significantly outperforms the state-of-the-art in the literature. Lastly, we relax the fixed headway assumption, and propose an efficient recursive quasi-linear time algorithm to minimize the total transfer waiting time in this general setting.


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    Title :

    Transit timetable synchronization for transfer time minimization


    Contributors:


    Publication date :

    2019-12-05


    Size :

    17 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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