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Bike network design problem with a path-size logit-based equilibrium constraint: Formulation, global optimization, and matheuristic

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  • Liu, Haoxiang
  • Szeto, W.Y.
  • Long, Jiancheng

Abstract

This study focuses on the optimal network design problem of bike paths, which are on or adjacent to roadways but are physically separated from motorized traffic within the existing urban network. The problem seeks to maximize the total route utilities of cyclists and capture their actual route choice behavior using a path-size logit model. A mixed-integer nonlinear nonconvex model is developed for the problem and is reformulated and linearized into a mixed-integer linear program. The program is solved with a global optimization method and a matheuristic. Results are provided to illustrate the performance of these methods and the model properties.

Suggested Citation

  • Liu, Haoxiang & Szeto, W.Y. & Long, Jiancheng, 2019. "Bike network design problem with a path-size logit-based equilibrium constraint: Formulation, global optimization, and matheuristic," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 284-307.
    • Handle: RePEc:eee:transe:v:127:y:2019:i:c:p:284-307
    DOI: 10.1016/j.tre.2019.05.010
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    1. Wang, David Z.W. & Liu, Haoxiang & Szeto, W.Y., 2015. "A novel discrete network design problem formulation and its global optimization solution algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 213-230.
    2. Regis, Rommel G. & Shoemaker, Christine A., 2007. "Parallel radial basis function methods for the global optimization of expensive functions," European Journal of Operational Research, Elsevier, vol. 182(2), pages 514-535, October.
    3. Kevin Krizek & Ahmed El-Geneidy & Kristin Thompson, 2007. "A detailed analysis of how an urban trail system affects cyclists’ travel," Transportation, Springer, vol. 34(5), pages 611-624, September.
    4. Pucher, John & Buehler, Ralph, 2006. "Why Canadians cycle more than Americans: A comparative analysis of bicycling trends and policies," Transport Policy, Elsevier, vol. 13(3), pages 265-279, May.
    5. Elnaz Miandoabchi & Reza Farahani & Wout Dullaert & W. Szeto, 2012. "Hybrid Evolutionary Metaheuristics for Concurrent Multi-Objective Design of Urban Road and Public Transit Networks," Networks and Spatial Economics, Springer, vol. 12(3), pages 441-480, September.
    6. Liu, Haoxiang & Wang, David Z.W., 2017. "Locating multiple types of charging facilities for battery electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 30-55.
    7. Szeto, W.Y. & Jiang, Y., 2014. "Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 235-263.
    8. 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.
    9. Broach, Joseph & Dill, Jennifer & Gliebe, John, 2012. "Where do cyclists ride? A route choice model developed with revealed preference GPS data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(10), pages 1730-1740.
    10. W. Szeto & Y. Jiang & D. Wang & A. Sumalee, 2015. "A Sustainable Road Network Design Problem with Land Use Transportation Interaction over Time," Networks and Spatial Economics, Springer, vol. 15(3), pages 791-822, September.
    11. Nayan, Ashish & Wang, David Z.W., 2017. "Optimal bus transit route packaging in a privatized contracting regime," Transportation Research Part A: Policy and Practice, Elsevier, vol. 97(C), pages 146-157.
    12. Han, Sangjin, 2007. "A route-based solution algorithm for dynamic user equilibrium assignments," Transportation Research Part B: Methodological, Elsevier, vol. 41(10), pages 1094-1113, December.
    13. Abdulaal, Mustafa & LeBlanc, Larry J., 1979. "Continuous equilibrium network design models," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 19-32, March.
    14. Long, Jiancheng & Gao, Ziyou & Zhang, Haozhi & Szeto, W.Y., 2010. "A turning restriction design problem in urban road networks," European Journal of Operational Research, Elsevier, vol. 206(3), pages 569-578, November.
    15. Bekhor, Shlomo & Toledo, Tomer, 2005. "Investigating path-based solution algorithms to the stochastic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 279-295, March.
    16. Gao, Ziyou & Wu, Jianjun & Sun, Huijun, 2005. "Solution algorithm for the bi-level discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 39(6), pages 479-495, July.
    17. Frejinger, E. & Bierlaire, M., 2007. "Capturing correlation with subnetworks in route choice models," Transportation Research Part B: Methodological, Elsevier, vol. 41(3), pages 363-378, March.
    18. 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.
    19. 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.
    20. 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.
    21. Juan Pablo Vielma & Shabbir Ahmed & George Nemhauser, 2010. "Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions," Operations Research, INFORMS, vol. 58(2), pages 303-315, April.
    22. Larry J. Leblanc, 1975. "An Algorithm for the Discrete Network Design Problem," Transportation Science, INFORMS, vol. 9(3), pages 183-199, August.
    23. Rommel G. Regis & Christine A. Shoemaker, 2007. "A Stochastic Radial Basis Function Method for the Global Optimization of Expensive Functions," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 497-509, November.
    24. An, Kun & Lo, Hong K., 2015. "Robust transit network design with stochastic demand considering development density," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 737-754.
    25. Lu, Xiao-Shan & Liu, Tian-Liang & Huang, Hai-Jun, 2015. "Pricing and mode choice based on nested logit model with trip-chain costs," Transport Policy, Elsevier, vol. 44(C), pages 76-88.
    26. Shlomo Bekhor & Moshe Ben-Akiva & M. Ramming, 2006. "Evaluation of choice set generation algorithms for route choice models," Annals of Operations Research, Springer, vol. 144(1), pages 235-247, April.
    27. Wang, David Z.W. & Lo, Hong K., 2010. "Global optimum of the linearized network design problem with equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 482-492, May.
    28. Szeto, W.Y. & Lo, Hong K., 2006. "Transportation network improvement and tolling strategies: The issue of intergeneration equity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(3), pages 227-243, March.
    29. Li, Changmin & Yang, Hai & Zhu, Daoli & Meng, Qiang, 2012. "A global optimization method for continuous network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1144-1158.
    30. Xiang He & Xiqun (Michael) Chen & Chenfeng Xiong & Zheng Zhu & Lei Zhang, 2017. "Optimal Time-Varying Pricing for Toll Roads Under Multiple Objectives: A Simulation-Based Optimization Approach," Transportation Science, INFORMS, vol. 51(2), pages 412-426, May.
    31. Zhang, Xiaoning & Huang, Hai-Jun & Zhang, H.M., 2008. "Integrated daily commuting patterns and optimal road tolls and parking fees in a linear city," Transportation Research Part B: Methodological, Elsevier, vol. 42(1), pages 38-56, January.
    32. Snizek, Bernhard & Sick Nielsen, Thomas Alexander & Skov-Petersen, Hans, 2013. "Mapping bicyclists’ experiences in Copenhagen," Journal of Transport Geography, Elsevier, vol. 30(C), pages 227-233.
    33. Ralph Buehler & Jennifer Dill, 2016. "Bikeway Networks: A Review of Effects on Cycling," Transport Reviews, Taylor & Francis Journals, vol. 36(1), pages 9-27, January.
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