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Train Bi-Control Problem on Riemannian Setting

Author

Listed:
  • Gabriel Popa

    (Department Railway Rolling Stock, Faculty of Transport, University Politehnica of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania
    These authors contributed equally to this work.)

  • Constantin Udriste

    (Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania
    These authors contributed equally to this work.
    Second address: Academy of Romanian Scientists, Ilfov 3, 050044 Bucharest, Romania.)

  • Ionel Tevy

    (Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania
    These authors contributed equally to this work.)

Abstract

This article refers to the optimization of the energy consumption of guided traction rails, such as those used for electric trains (including subway electric units), railcars, locomotives, and trams, in a Riemannian framework. The proposed optimization strategy takes into account the compliance time drive and aims at improving the transport system for given operation conditions. Our study has five targets: (1) improving the optimal control techniques; (2) establishing a strategy for the operating conditions of the vehicle; (3) formulating and solving additional problems of optimal movement; (4) improving automatic systems for vehicle traction to optimize energy consumption in a Riemannian context; (5) formulating and solving a problem of maximizing the profit of the train. Some significant figures and formulas obtained by Maple procedures clarify the problems.

Suggested Citation

  • Gabriel Popa & Constantin Udriste & Ionel Tevy, 2021. "Train Bi-Control Problem on Riemannian Setting," Mathematics, MDPI, vol. 9(22), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2898-:d:678847
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    References listed on IDEAS

    as
    1. Goverde, Rob M.P. & Scheepmaker, Gerben M. & Wang, Pengling, 2021. "Pseudospectral optimal train control," European Journal of Operational Research, Elsevier, vol. 292(1), pages 353-375.
    2. Ye, Hongbo & Liu, Ronghui, 2016. "A multiphase optimal control method for multi-train control and scheduling on railway lines," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 377-393.
    Full references (including those not matched with items on IDEAS)

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