Linear Bus Holding Model for Real Time Traffic Network Control. Hernández-Landa, L.&nbsp;G., Morales-Marroquín, M.&nbsp;L., Nigenda, R.&nbsp;S., & Ríos-Solís, Y.&nbsp;Á. Mota, M.&nbsp;M., la&nbsp;Mota, I.<nbsp>F.<nbsp>D., & Serrano, D.&nbsp;G., editors. Applied Simulation and Optimization: In Logistics and Industrial, and Aeronautical Practice. Springer, 2014. To appear August 2015
Applied Simulation and Optimization: In Logistics and Industrial, and Aeronautical Practice [link]Paper  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},
  year = {2014},
  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},
  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.},
  note = {To appear August 2015},
  keywords = {pisis, bus bunching, linear programming, simulation}
}

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