Technical Papers
Aug 30, 2013

Bilevel Programming Model for Locating Park-and-Ride Facilities

Publication: Journal of Urban Planning and Development
Volume 140, Issue 3

Abstract

This paper develops a bilevel programming model to locate park-and-ride (P&R) facilities with the capability of capturing the interactions between decision makers and commuters. The upper-level model represents the authorities’ locating decision with the objective of maximizing the total social welfare (SW); the lower-level model is a stochastic user equilibrium one simulating commuters’ reactive behaviors, which in turn affects the P&R location decision at the upper level. The paper designs a scenario to compare the solutions under the optimization criterion of SW with that under two others: consumer surplus and producer surplus. Results indicate that adopting SW maximization as the optimization objective leads to a win-win outcome for both P&R service providers and users. The paper uses Chengdu City (in China) as a case study, and it is demonstrated that the proposed P&R locating framework is applicable to a large-scale network and compatible with the regional transportation planning procedure.

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Acknowledgments

The research is supported by the National Science Foundation of China (NSFC-71271176 and NSFC-71103148). The authors thank three anonymous reviewers for their valuable comments and suggestions.

References

AASHTO. (2004). Guide for park-and-ride facilities, Washington, DC.
Beijing Bureau of Statistics (BBS). (2012). 〈http://www.bjstats.gov.cn/xwgb/tjgb/ndgb/201203/t20120305_221986.htm〉 (Oct. 27, 2012).
Ben-Ayed, O., Blair, C., Boyce, D., and LeBlanc, L. (1992). “Construction of a real-world bilevel linear programming model of the highway design problem.” Ann. Oper. Res., 34, 219–254.
Bos, I. (2004). “Changing seats: A behavioral analysis of P&R use.” Ph.D. dissertation, Delft Univ. of Technology, The Netherlands.
Beijing Traffic Management Bureau (BTMB). (2009). 2009 Beijing transport annual report, Beijing (in Chinese).
Chengdu Bureau of Statistics (CBS). (2012). 〈http://www.cdstats.chengdu.gov.cn/detail.asp?ID=68655&ClassID=020705〉 (Oct. 07, 2012).
Chengdu Institute of Planning, and Design (CIPD). (2011). Planning for comprehensive parking lots at periphery of Chengdu central area (in Chinese), Chengdu Planning and Management Bureau, Chengdu.
Chengdu Planning, and Management Bureau (CPMP). (2005). Chengdu comprehensive transportation system planning, Chengdu.
Chiou, S. W. (2005). “Bilevel programming for the continuous transport network design problem.” Transp. Res. Part B, 39(4), 361–383.
Dempe, S. (2002). Foundations of bilevel programming, Kluwer Academic, Dordrecht.
Faghri, A., Lang, A., Hamad, K., and Henck, H. (2002). “Integrated knowledge-based geographic information system for determining optimal location of park-and-ride facilities.” J. Urban Plann. Dev., 18–41.
Fan, W. B., and Li, Z. C. (2009). “Modeling commuters’ day-to-day route choice dynamics under travel time uncertainty: A reference-dependent approach.” Dyn. Continuous Discrete Impulsive Syst. Ser. B, 16(2), 151–165.
Farhan, B., and Murray, A. T. (2008). “Siting park-and-ride facilities using a multi-objective spatial optimization model.” Comput. Oper. Res., 35(2), 445–456.
Feldman, A. M., and Serrano, R. (2006). Welfare economics and social choice theory, 2nd Ed., Springer, New York.
Holguín-Veras, J., Reilly, J., Aros-Vera, F., Yushimito, W. F., and Isa, J. (2012a). “Park and ride facilities in New York City: Economic analyses of alternative locations.” TRB 2012 Annual Meeting, Transportation Research Board of the National Academies.
Holguín-Veras, J., Yushimito, W. F., Aros-Vera, F., and Reilly, J. (2012b). “User rationality and optimal park-and-ride location under potential demand maximization.” Transp. Res. B, 46, 949–970.
Horner, M. W., and Groves, S. (2007). “Network flow-based strategies for identifying rail park-and-ride facility locations.” Socio-Econ. Plann. Sci., 41, 255–268.
Horner, M. W., and Grubesic, T. H. (2001). “A GIS-based planning approach to locating urban rail terminals.” Transportation, 28(1), 55–77.
Kanafani, A. (1983). Transportation demand analysis, McGraw-Hill, New York.
Lam, W., Holyoak, N., and Lo, H. (2001). “How park-and-ride schemes can be successful in Eastern Asia.” J. Urban Plann. Dev., 63–78.
Li, Z. C., Huang, H. J., Lam, W., and Wong, S. C. (2007a). “A model for evaluation of transport policies in multimodal networks with road and parking capacity constraints.” J. Math. Model. Algorithms, 6(2), 239–257.
Li, Z. C., Huang, H. J., Lam, W., and Wong, S. C. (2007b). “Time-differential pricing of road tolls and parking charges in a transport network with elastic demand.” Transportation and traffic theory, R. E. Allsop, M. G. H. Bell and B. G. Heydecker, eds., Elsevier, Oxford.
Li, Z. C., Lam, W., Wong, S. C., Huang, H. J., and Zhu, D. L. (2008). “Reliability evaluation for stochastic and time-dependent networks with multiple parking facilities.” Network Spatial Econ., 8, 355–381.
Li, Z. C., Lam, W., Wong, S. C., Zhu, D. L., and Huang, H. J. (2007c). “Modeling park-and-ride services in a multimodal transport network with elastic demand.” Transp. Res. Rec., 1994, 101–109.
Li, Y., and Zhang, X. Y. (2010). “Park and ride demand forecasting at Tiantongyuan area along Beijing subway line five.” Urban Transp. China, 8(5), 57–64.
Liao, F. X., Arentze, T., and Timmermans, H. (2012). “A supernetwork approach for modeling traveler response to park-and-ride.” TRB 2012 Annual Meeting, Washington, DC.
Liu, T. L., Huang, H. J., Yang, H., and Zhang, X. (2009). “Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice.” Transport. Res. B, 43(6), 692–707.
Meek, S. D., Ison, S. G., and Enoch, M. P. (2008). “The role of bus-based park and ride in the UK: A temporal and evaluative review.” Transp. Rev., 28(6), 781–803.
National Bureau of Statistics of China (NBSC). (2012). 〈http://www.stats.gov.cn/was40/gjtjj_detail.jsp?searchword=%B3%CB%D3%C3%B3%B5&channelid=6697&record=1〉 (Oct. 27, 2012).
Nguyen, S., and Dupuis, C. (1984). “An efficient method for computing traffic equilibria in networks with asymmetric transportation costs.” Transport. Sci., 18, 185–202.
Noel, E. (1988). “Park-and-ride: Alive, well, and expanding in the United States.” J. Urban Plann. Dev., 2–13.
Parkhurst, G. P., and Stokes, G. (1994). Park and ride in Oxford and York: Report of surveys, Economic and Social Research Council, London.
Sargious, M. A., and Janarthanan, N. (1983). “Forecasting demand for the park-and-ride mode and determining the optimal location of stations.” Can. J. Civ. Eng. 10, 695–702.
Schneider, J. B., Miller, D., and Friedman, T. (1976). “Locating and sizing park-ride lots with interactive computer graphics.” Transportation, 5, 389–406.
Schoon, J. G. (1980). “Park-and-ride planning for energy conservation: An optimization methodology.” Transp. Res. Rec., 751, 31–37.
Seik, F. T. (1997). “Experiences from Singapore’s park-and-ride scheme (1975–1996).” HABITATITNL, 21(4), 427–444.
Shanghai Bureau of Statistics (SBS). (2012). 〈http://www.stats-sh.gov.cn/sjfb/201202/239488.html〉 (Oct. 27, 2012).
Spillar, R. J. (1997). Park-and-ride planning and design guidelines, Parsons Brinkerhoff Quade and Douglas, New York.
Tam, M., and Lam, W. (2004). “Balance of car ownership under user demand and road network supply conditions—Case study in Hong Kong.” J. Urban Plann. Dev., 24–36.
Transportation Research Board (TRB). (2004). “Park-and-ride/pool.” Chapter 3, Transit cooperative research program report 95, Transportation Research Board, Washington, DC.
Wang, J. Y. T., Yang, H., and Lindsey, R. (2004). “Locating and pricing park-and-ride facilities in a linear monocentric city with deterministic mode choice.” Transp. Res. B, 38, 709–731.
Wichiensin, M., Bell, M. G. H., and Yang, H. (2007). “Impact of congestion charging on the transit market: An inter-modal equilibrium model.” Transp. Res. Part A, 41, 703–713.
Vicente, L. N., and Calamai, P. H. (1994). “Bilevel and multilevel programming: A bibliography review.” J. Global Optim., 5, 291–306.
Yang, H., and Bell, M. G. H. (2001). “Transport bilevel programming problems recent methodological advances.” Transp. Res. B, 35(1), 1–4.

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Go to Journal of Urban Planning and Development
Journal of Urban Planning and Development
Volume 140Issue 3September 2014

History

Received: Nov 15, 2012
Accepted: Aug 29, 2013
Published online: Aug 30, 2013
Discussion open until: Jul 6, 2014
Published in print: Sep 1, 2014

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Authors

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Wenbo Fan, Ph.D. [email protected]
Lecturer, School of Transportation and Logistics, Southwest Jiaotong Univ., Chengdu 610031, China. E-mail: [email protected]
Muhammad Babar Khan, Ph.D. [email protected]
Assistant Professor, National Institute of Transportation, School of Civil and Environmental Engineering, National Univ. of Sciences and Technology, Islamabad 44000, Pakistan. E-mail: [email protected]
Jian Ma, Ph.D. [email protected]
Associate Professor, School of Transportation and Logistics, Southwest Jiaotong Univ., Chengdu 610031, China. E-mail: [email protected]
Xinguo Jiang, Ph.D. [email protected]
Professor, School of Transportation and Logistics, Southwest Jiaotong Univ., Chengdu 610031, China (corresponding author). E-mail: [email protected]

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