Linear Bus Holding Model for Real Time Traffic Network Control. Hernández-Landa, L. G., Morales-Marroquín, M. L., Nigenda, R. S., & Ríos-Solís, Y. Á. Mota, M. M., la Mota, I. F. D., & Serrano, D. G., editors. Applied Simulation and Optimization: In Logistics and Industrial, and Aeronautical Practice, pages 303-319. Springer International Publishing, 2015.
Paper doi abstract bibtex 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 minutes.
@InBook{landamoralessanchezrios2014,
author = {Leonardo G. Hernández-Landa and Miguel L. Morales-Marroquín and Romeo Sánchez Nigenda and Yasmín Á. Ríos-Solís},
chapter = {Linear Bus Holding Model for Real Time Traffic Network Control},
title = {Applied Simulation and Optimization: In Logistics and Industrial, and Aeronautical Practice},
publisher={Springer International Publishing},
year = {2015},
editor = {Miguel Mujica Mota and Idalia Flores De la Mota and Daniel Guimarans Serrano},
ISBN = {978-3-319-15032-1},
url = {http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-3-319-15032-1},
doi={10.1007/978-3-319-15033-8_10},
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 minutes.},
pages={303-319},
keywords = {pisis, bus bunching, linear programming, simulation}
}
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