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Maximizing Network Throughput under Stochastic User Equilibrium with Elastic Demand

Author

Listed:
  • Jian Wang

    (Purdue University)

  • Muqing Du

    (Hohai University)

  • Lili Lu

    (Ningbo University
    Ningbo University Sub-Center
    Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies)

  • Xiaozheng He

    (Rensselaer Polytechnic Institute)

Abstract

Most of the existing studies adopt the fixed-demand equilibrium formulation to model drivers’ route choice when studying network throughput maximization problem. Travelers’ reactions to the increased origin-destination (O-D) travel cost and network congestion level are less considered in the problem. Note that travelers can cancel the trip or use other modes to travel if the road network is congested. This study aims to address this gap by analyzing the maximum network throughput problem using the formulation of Logit-based SUE with elastic demand (SUEED). The Logit-based SUEED problem not only models the drivers’ route choice according to the SUE principle, but also estimates the equilibrium O-D demand by factoring the effect of expected perceived O-D travel time on O-D demand. A bi-level programming problem is proposed to characterize the maximum network throughput based on the Logit-based SUEED problem. The sensitivity analysis for the Logit-based SUEED problem is presented and incorporated into the solution algorithm for the proposed problem. A numerical example demonstrates the effectiveness of the proposed sensitivity-based solution algorithm. This study finds that under the SUEED condition, the maximum network throughput decreases monotonically when travelers’ knowledge level of traffic conditions increases (less travel time perception error). It implies that promoting advanced traveler information system ATIS may not serve to foster more number of trips by travelers and make more use of physical network capacity.

Suggested Citation

  • Jian Wang & Muqing Du & Lili Lu & Xiaozheng He, 2018. "Maximizing Network Throughput under Stochastic User Equilibrium with Elastic Demand," Networks and Spatial Economics, Springer, vol. 18(1), pages 115-143, March.
    • Handle: RePEc:kap:netspa:v:18:y:2018:i:1:d:10.1007_s11067-017-9372-z
    DOI: 10.1007/s11067-017-9372-z
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    as
    1. Fisk, Caroline, 1980. "Some developments in equilibrium traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 14(3), pages 243-255, September.
    2. Lili Lu & Jian Wang & Pengjun Zheng & Wei Wang, 2017. "Network capacity with probit-based stochastic user equilibrium problem," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-19, February.
    3. Inbal Haas & Shlomo Bekhor, 2017. "An Alternative Approach for Solving the Environmentally-Oriented Discrete Network Design Problem," Networks and Spatial Economics, Springer, vol. 17(3), pages 963-988, September.
    4. Chen, Anthony & Yang, Hai & Lo, Hong K. & Tang, Wilson H., 2002. "Capacity reliability of a road network: an assessment methodology and numerical results," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 225-252, March.
    5. Chung, Jin-Hyuk & Yeon Hwang, Kee & Kyung Bae, Yun, 2012. "The loss of road capacity and self-compliance: Lessons from the Cheonggyecheon stream restoration," Transport Policy, Elsevier, vol. 21(C), pages 165-178.
    6. Wong, S. C. & Yang, Hai, 1997. "Reserve capacity of a signal-controlled road network," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 397-402, October.
    7. Clark, S. D., 2002. "Erratum to "Sensitivity analysis of the prohibit-based stochastic user equilibrium assignment model" by Stephen D. Clark and David P. Watling [Transportation Research Part B 36 (7) (2002) 61," Transportation Research Part B: Methodological, Elsevier, vol. 36(9), pages 851-851, November.
    8. Damberg, Olof & Lundgren, Jan T. & Patriksson, Michael, 1996. "An algorithm for the stochastic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 30(2), pages 115-131, April.
    9. Puller, Steven L. & Greening, Lorna A., 1999. "Household adjustment to gasoline price change: an analysis using 9 years of US survey data," Energy Economics, Elsevier, vol. 21(1), pages 37-52, February.
    10. Hailiang Xiao & Jianzhi Gao & Zhiyun Zou, 2017. "Reserve capacity model based on variable demand for land-use development control," Transportation Planning and Technology, Taylor & Francis Journals, vol. 40(2), pages 199-212, February.
    11. Xiangfeng Ji & Xuegang (Jeff) Ban & Mengtian Li & Jian Zhang & Bin Ran, 2017. "Non-expected Route Choice Model under Risk on Stochastic Traffic Networks," Networks and Spatial Economics, Springer, vol. 17(3), pages 777-807, September.
    12. Yang, Hai & Bell, Michael G. H., 1997. "Traffic restraint, road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 303-314, August.
    13. Yang, Hai & Yagar, Sam, 1994. "Traffic assignment and traffic control in general freeway-arterial corridor systems," Transportation Research Part B: Methodological, Elsevier, vol. 28(6), pages 463-486, December.
    14. Wang, Jian & He, Xiaozheng & Peeta, Srinivas, 2016. "Sensitivity analysis based approximation models for day-to-day link flow evolution process," Transportation Research Part B: Methodological, Elsevier, vol. 92(PA), pages 35-53.
    15. Yang, Hai & Bell, Michael G. H. & Meng, Qiang, 2000. "Modeling the capacity and level of service of urban transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(4), pages 255-275, May.
    16. Henry Liu & Xiaozheng He & Bingsheng He, 2009. "Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 9(4), pages 485-503, December.
    17. Roger L. Tobin & Terry L. Friesz, 1988. "Sensitivity Analysis for Equilibrium Network Flow," Transportation Science, INFORMS, vol. 22(4), pages 242-250, November.
    18. 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.
    19. Larry J. LeBlanc & Keyvan Farhangian, 1981. "Efficient Algorithms for Solving Elastic Demand Traffic Assignment Problems and Mode Split-Assignment Problems," Transportation Science, INFORMS, vol. 15(4), pages 306-317, November.
    20. Hai-Jun Huang & Tian-Liang Liu & Xiaolei Guo & Hai Yang, 2011. "Inefficiency of Logit-Based Stochastic User Equilibrium in a Traffic Network Under ATIS," Networks and Spatial Economics, Springer, vol. 11(2), pages 255-269, June.
    21. Morlok, Edward K. & Chang, David J., 2004. "Measuring capacity flexibility of a transportation system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(6), pages 405-420, July.
    22. Maher, Mike, 1998. "Algorithms for logit-based stochastic user equilibrium assignment," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 539-549, November.
    23. Martí, Rafael & Resende, Mauricio G.C. & Ribeiro, Celso C., 2013. "Multi-start methods for combinatorial optimization," European Journal of Operational Research, Elsevier, vol. 226(1), pages 1-8.
    24. Chen, Anthony & Kasikitwiwat, Panatda, 2011. "Modeling capacity flexibility of transportation networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(2), pages 105-117, February.
    25. Hong Zheng & Xiaozheng He & Yongfu Li & Srinivas Peeta, 2017. "Traffic Equilibrium and Charging Facility Locations for Electric Vehicles," Networks and Spatial Economics, Springer, vol. 17(2), pages 435-457, June.
    26. Clark, Stephen D. & Watling, David P., 2002. "Sensitivity analysis of the probit-based stochastic user equilibrium assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 36(7), pages 617-635, August.
    27. 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.
    28. Lo, Hong K. & Tung, Yeou-Koung, 2003. "Network with degradable links: capacity analysis and design," Transportation Research Part B: Methodological, Elsevier, vol. 37(4), pages 345-363, May.
    29. Hu Shao & William Lam & Mei Tam, 2006. "A Reliability-Based Stochastic Traffic Assignment Model for Network with Multiple User Classes under Uncertainty in Demand," Networks and Spatial Economics, Springer, vol. 6(3), pages 173-204, September.
    30. Yang, Hai, 1997. "Sensitivity analysis for the elastic-demand network equilibrium problem with applications," Transportation Research Part B: Methodological, Elsevier, vol. 31(1), pages 55-70, February.
    31. R. Martí & J. Marcos Moreno-Vega & A. Duarte, 2010. "Advanced Multi-start Methods," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 265-281, Springer.
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