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p-Hub approach for the optimal park-and-ride facility location problem

Felipe Aros-Vera, Vladimir Marianov and John E. Mitchell

European Journal of Operational Research, 2013, vol. 226, issue 2, 277-285

Abstract: Park and Ride facilities (P&R) are car parks at which users can transfer to public transportation to reach their final destination. We propose a mixed linear programming formulation to determine the location of a fixed number of P&R facilities so that their usage is maximized. The facilities are modeled as hubs. Commuters can use one of the P&R facilities or choose to travel by car to their destinations, and their behavior follows a logit model. We apply a p-hub approach considering that users incur in a known generalized cost of using each P&R facility as input for the logit model. For small instances of the problem, we propose a novel linearization of the logit model, which allows transforming the binary nonlinear programming problem into a mixed linear programming formulation. A modification of the Heuristic Concentration Integer (HCI) procedure is applied to solve larger instances of the problem. Numerical experiments are performed, including a case in Queens, NY. Further research is proposed.

Keywords: Location; Park and Ride; p-Hub; Logit model; Heuristic concentration integer (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (30)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:226:y:2013:i:2:p:277-285

DOI: 10.1016/j.ejor.2012.11.006

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