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A Network Design Algorithm Using a Stochastic Incremental Traffic Assignment Approach

Author

Listed:
  • Mingyuan Chen

    (University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2)

  • Attahiru Sule Alfa

    (University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2)

Abstract

In this paper, a branch and bound algorithm is presented for solving network design problems (NDP). Route selection for the NDP is based on a stochastic incremental traffic assignment approach. Experiments are performed to compare the behaviors of three assignment methods. Numerical examples are presented to illustrate the algorithm for solving the NDP.

Suggested Citation

  • Mingyuan Chen & Attahiru Sule Alfa, 1991. "A Network Design Algorithm Using a Stochastic Incremental Traffic Assignment Approach," Transportation Science, INFORMS, vol. 25(3), pages 215-224, August.
    • Handle: RePEc:inm:ortrsc:v:25:y:1991:i:3:p:215-224
    DOI: 10.1287/trsc.25.3.215
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    Cited by:

    1. Cantarella, G.E. & Pavone, G. & Vitetta, A., 2006. "Heuristics for urban road network design: Lane layout and signal settings," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1682-1695, December.
    2. 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.
    3. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun, 2014. "A bi-objective turning restriction design problem in urban road networks," European Journal of Operational Research, Elsevier, vol. 237(2), pages 426-439.
    4. 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.
    5. Foulds, Les R. & do Nascimento, Hugo A.D. & Calixto, Iacer C.A.C. & Hall, Bryon R. & Longo, Humberto, 2013. "A fuzzy set-based approach to origin–destination matrix estimation in urban traffic networks with imprecise data," European Journal of Operational Research, Elsevier, vol. 231(1), pages 190-201.
    6. Tadashi Yamada & Bona Frazila Russ & Jun Castro & Eiichi Taniguchi, 2009. "Designing Multimodal Freight Transport Networks: A Heuristic Approach and Applications," Transportation Science, INFORMS, vol. 43(2), pages 129-143, May.
    7. 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.
    8. Giulio Cantarella & Antonino Vitetta, 2006. "The multi-criteria road network design problem in an urban area," Transportation, Springer, vol. 33(6), pages 567-588, November.
    9. Poorzahedy, Hossain & Rouhani, Omid M., 2007. "Hybrid meta-heuristic algorithms for solving network design problem," European Journal of Operational Research, Elsevier, vol. 182(2), pages 578-596, October.
    10. Karimi Dehnavi, Hadi & Rezvan, Mohammad Taghi & Shirmohammadli, Abdolmatin & Vallée, Dirk, 2013. "A solution for urban road selection and construction problem using simulation and goal programming—Case study of the city of Isfahan," Transport Policy, Elsevier, vol. 29(C), pages 46-53.
    11. Dung-Ying Lin & Ampol Karoonsoontawong & S. Waller, 2011. "A Dantzig-Wolfe Decomposition Based Heuristic Scheme for Bi-level Dynamic Network Design Problem," Networks and Spatial Economics, Springer, vol. 11(1), pages 101-126, March.
    12. 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.
    13. Liu, Haoxiang & Zou, Yuncheng & Chen, Ya & Long, Jiancheng, 2021. "Optimal locations and electricity prices for dynamic wireless charging links of electric vehicles for sustainable transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    14. 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.
    15. Yamada, Tadashi & Febri, Zukhruf, 2015. "Freight transport network design using particle swarm optimisation in supply chain–transport supernetwork equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 164-187.
    16. Gallo, Mariano & D'Acierno, Luca & Montella, Bruno, 2010. "A meta-heuristic approach for solving the Urban Network Design Problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 144-157, February.
    17. Meng, Q. & Yang, H. & Bell, M. G. H., 2001. "An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 83-105, January.
    18. Ukkusuri, Satish V. & Patil, Gopal, 2009. "Multi-period transportation network design under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 625-642, July.
    19. Byung Kim & Wonkyu Kim & Byung Song, 2008. "Sequencing and scheduling highway network expansion using a discrete network design model," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 42(3), pages 621-642, September.
    20. 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.

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