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Linear Bus Holding Model for Real-Time Traffic Network Control

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Applied Simulation and Optimization

Abstract

One of the most annoying problems in urban bus operations is bus bunching, which happens when two or more buses arrive at a stop nose to tail. Bus bunching reflects an unreliable service that affects transit operations by increasing passenger-waiting times. This work proposes a linear mathematical programming model that establishes bus holding times at certain stops along a transit corridor to avoid bus bunching. Our approach needs real-time input, so we simulate a transit corridor and apply our mathematical model to the data generated. Thus, the inherent variability of a transit system is considered by the simulation, while the optimization model takes into account the key variables and constraints of the bus operation. Our methodology reduces overall passenger-waiting times efficiently given our linear programming model, with the characteristic of applying control intervals just every 5 min.

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Notes

  1. 1.

    The time interval is a parameter in our model that could be specified by the control unit of the bus company.

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Acknowledgments

L.G. Hernández-Landa and M.L. Morales-Marroquín wish to thank the Mexican National Council of Science and Technology (CONACyT) for graduate scholarship support.

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Correspondence to Yasmín Á. Ríos-Solís .

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Hernández-Landa, L.G., Morales-Marroquín, M.L., Nigenda, R.S., Ríos-Solís, Y.Á. (2015). Linear Bus Holding Model for Real-Time Traffic Network Control. In: Mujica Mota, M., De La Mota, I., Guimarans Serrano, D. (eds) Applied Simulation and Optimization. Springer, Cham. https://doi.org/10.1007/978-3-319-15033-8_10

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