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Transportation network design for maximizing space–time accessibility

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  • Tong, Lu
  • Zhou, Xuesong
  • Miller, Harvey J.

Abstract

One of the goals of transportation system construction and management is to improve individuals’ accessibility or the ease of reaching desired activities, destinations and services. However, many transportation network design models instead focus on maximizing individuals’ mobility or the ease of movement within the network. By adapting a space–time prism analysis framework, this paper aims to address a new urban network design problem to maximize the system-wide transportation accessibility between major activity locations, subject to a given highway construction budget. By constructing a time-dependent space–time network, we formulate the problem as a linear integer programming model to maximize the number of accessible activity locations within travel time budget for road users. A Lagrangian relaxation solution framework effectively decomposes the original complex problem into classical subproblems such as knapsack and time-dependent least cost problems. Various examples and discussions are provided to consider the effectiveness of the proposed method in modeling accessibility-enhancement strategies such as congestion mitigation and land use policies.

Suggested Citation

  • Tong, Lu & Zhou, Xuesong & Miller, Harvey J., 2015. "Transportation network design for maximizing space–time accessibility," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 555-576.
    • Handle: RePEc:eee:transb:v:81:y:2015:i:p2:p:555-576
    DOI: 10.1016/j.trb.2015.08.002
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    as
    1. Murawski, Lisa & Church, Richard L., 2009. "Improving accessibility to rural health services: The maximal covering network improvement problem," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 102-110, June.
    2. Mokhtarian, Patricia L. & Salomon, Ilan, 2001. "How derived is the demand for travel? Some conceptual and measurement considerations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(8), pages 695-719, September.
    3. Small, Kenneth A & Rosen, Harvey S, 1981. "Applied Welfare Economics with Discrete Choice Models," Econometrica, Econometric Society, vol. 49(1), pages 105-130, January.
    4. Jeffery L. Kennington & Charles D. Nicholson, 2010. "The Uncapacitated Time-Space Fixed-Charge Network Flow Problem: An Empirical Investigation of Procedures for Arc Capacity Assignment," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 326-337, May.
    5. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    6. An, Kun & Lo, Hong K., 2014. "Ferry service network design with stochastic demand under user equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 70-89.
    7. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
    8. Weibull, Jorgen W., 1976. "An axiomatic approach to the measurement of accessibility," Regional Science and Urban Economics, Elsevier, vol. 6(4), pages 357-379, December.
    9. Sohn, Jungyul, 2006. "Evaluating the significance of highway network links under the flood damage: An accessibility approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(6), pages 491-506, July.
    10. Liu, Haoxiang & Wang, David Z.W., 2015. "Global optimization method for network design problem with stochastic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 20-39.
    11. Wachs, Martin & Kumagai, T. Gordon, 1973. "Physical accessibility as a social indicator," Socio-Economic Planning Sciences, Elsevier, vol. 7(5), pages 437-456, October.
    12. R W Vickerman, 1974. "Accessibility, Attraction, and Potential: A Review of Some Concepts and Their Use in Determining Mobility," Environment and Planning A, , vol. 6(6), pages 675-691, December.
    13. Recker, W. W., 2001. "A bridge between travel demand modeling and activity-based travel analysis," Transportation Research Part B: Methodological, Elsevier, vol. 35(5), pages 481-506, June.
    14. Yang, Lixing & Zhou, Xuesong, 2014. "Constraint reformulation and a Lagrangian relaxation-based solution algorithm for a least expected time path problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 22-44.
    15. A G Wilson, 1971. "A Family of Spatial Interaction Models, and Associated Developments," Environment and Planning A, , vol. 3(1), pages 1-32, March.
    16. Guihaire, Valérie & Hao, Jin-Kao, 2008. "Transit network design and scheduling: A global review," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(10), pages 1251-1273, December.
    17. Anthony Chen & Zhong Zhou & Piya Chootinan & Seungkyu Ryu & Chao Yang & S. Wong, 2011. "Transport Network Design Problem under Uncertainty: A Review and New Developments," Transport Reviews, Taylor & Francis Journals, vol. 31(6), pages 743-768.
    18. Daganzo, Carlos F., 2010. "Structure of competitive transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 434-446, May.
    19. Bowman, J. L. & Ben-Akiva, M. E., 2001. "Activity-based disaggregate travel demand model system with activity schedules," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(1), pages 1-28, January.
    20. Chen, Shaopei & Claramunt, Christophe & Ray, Cyril, 2014. "A spatio-temporal modelling approach for the study of the connectivity and accessibility of the Guangzhou metropolitan network," Journal of Transport Geography, Elsevier, vol. 36(C), pages 12-23.
    21. J W Weibull, 1980. "On the Numerical Measurement of Accessibility," Environment and Planning A, , vol. 12(1), pages 53-67, January.
    22. Kang, Jee Eun & Chow, Joseph Y.J. & Recker, Will W., 2013. "On activity-based network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 398-418.
    23. Dong, Xiaojing & Ben-Akiva, Moshe E. & Bowman, John L. & Walker, Joan L., 2006. "Moving from trip-based to activity-based measures of accessibility," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(2), pages 163-180, February.
    24. Luathep, Paramet & Sumalee, Agachai & Lam, William H.K. & Li, Zhi-Chun & Lo, Hong K., 2011. "Global optimization method for mixed transportation network design problem: A mixed-integer linear programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 808-827, June.
    25. Wang, Shuaian & Meng, Qiang & Yang, Hai, 2013. "Global optimization methods for the discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 42-60.
    26. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    27. Ghiani, Gianpaolo & Guerriero, Francesca & Laporte, Gilbert & Musmanno, Roberto, 2003. "Real-time vehicle routing: Solution concepts, algorithms and parallel computing strategies," European Journal of Operational Research, Elsevier, vol. 151(1), pages 1-11, November.
    28. X. Zhao & P. B. Luh & J. Wang, 1999. "Surrogate Gradient Algorithm for Lagrangian Relaxation," Journal of Optimization Theory and Applications, Springer, vol. 100(3), pages 699-712, March.
    29. ORTEGA , Francisco & WOLSEY, Laurence A., 2003. "A branch-and-cut algorithm for the single-commodity, uncapacitated, fixed-charge network flow problem," LIDAM Reprints CORE 1611, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    30. Michael A. P. Taylor, 2008. "Critical Transport Infrastructure in Urban Areas: Impacts of Traffic Incidents Assessed Using Accessibility‐Based Network Vulnerability Analysis," Growth and Change, Wiley Blackwell, vol. 39(4), pages 593-616, December.
    31. Anthony Chen & Chao Yang & Sirisak Kongsomsaksakul & Ming Lee, 2007. "Network-based Accessibility Measures for Vulnerability Analysis of Degradable Transportation Networks," Networks and Spatial Economics, Springer, vol. 7(3), pages 241-256, September.
    32. Jesús Sáez Aguado, 2009. "Fixed Charge Transportation Problems: a new heuristic approach based on Lagrangean relaxation and the solving of core problems," Annals of Operations Research, Springer, vol. 172(1), pages 45-69, November.
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