IDEAS home Printed from https://ideas.repec.org/a/kap/netspa/v11y2011i4p727-751.html
   My bibliography  Save this article

The Pareto-optimal Solution Set of the Equilibrium Network Design Problem with Multiple Commensurate Objectives

Author

Listed:
  • Dung-Ying Lin
  • Chi Xie

Abstract

No abstract is available for this item.

Suggested Citation

  • Dung-Ying Lin & Chi Xie, 2011. "The Pareto-optimal Solution Set of the Equilibrium Network Design Problem with Multiple Commensurate Objectives," Networks and Spatial Economics, Springer, vol. 11(4), pages 727-751, December.
  • Handle: RePEc:kap:netspa:v:11:y:2011:i:4:p:727-751
    DOI: 10.1007/s11067-010-9146-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11067-010-9146-3
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11067-010-9146-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. A. M. Geoffrion & J. S. Dyer & A. Feinberg, 1972. "An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department," Management Science, INFORMS, vol. 19(4-Part-1), pages 357-368, December.
    2. Meng, Qiang & Yang, Hai, 2002. "Benefit distribution and equity in road network design," Transportation Research Part B: Methodological, Elsevier, vol. 36(1), pages 19-35, January.
    3. Y. P. Aneja & K. P. K. Nair, 1979. "Bicriteria Transportation Problem," Management Science, INFORMS, vol. 25(1), pages 73-78, January.
    4. John R. Current & Charles S. Revelle & Jared L. Cohon, 1987. "The Median Shortest Path Problem: A Multiobjective Approach to Analyze Cost vs. Accessibility in the Design of Transportation Networks," Transportation Science, INFORMS, vol. 21(3), pages 188-197, August.
    5. Agachai Sumalee & Simon Shepherd & Anthony May, 2009. "Road user charging design: dealing with multi-objectives and constraints," Transportation, Springer, vol. 36(2), pages 167-186, March.
    6. Current, John & Marsh, Michael, 1993. "Multiobjective transportation network design and routing problems: Taxonomy and annotation," European Journal of Operational Research, Elsevier, vol. 65(1), pages 4-19, February.
    7. Maruyama, Takuya & Sumalee, Agachai, 2007. "Efficiency and equity comparison of cordon- and area-based road pricing schemes using a trip-chain equilibrium model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(7), pages 655-671, August.
    8. Fruhwirth, B. & Bukkard, R. E. & Rote, G., 1989. "Approximation of convex curves with application to the bicriterial minimum cost flow problem," European Journal of Operational Research, Elsevier, vol. 42(3), pages 326-338, October.
    9. Larry J. Leblanc, 1975. "An Algorithm for the Discrete Network Design Problem," Transportation Science, INFORMS, vol. 9(3), pages 183-199, August.
    10. Leurent, Fabien, 1993. "Cost versus time equilibrium over a network," European Journal of Operational Research, Elsevier, vol. 71(2), pages 205-221, December.
    11. Robert B. Dial, 1996. "Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms," Transportation Science, INFORMS, vol. 30(2), pages 93-111, May.
    12. Guo, Xiaolei & Yang, Hai, 2009. "User heterogeneity and bi-criteria system optimum," Transportation Research Part B: Methodological, Elsevier, vol. 43(4), pages 379-390, May.
    13. Friesz, Terry L. & Harker, Patrick T., 1983. "Multicriteria spatial price equilibrium network design: Theory and computational results," Transportation Research Part B: Methodological, Elsevier, vol. 17(5), pages 411-426, October.
    14. Yang, Hai & Huang, Hai-Jun, 2004. "The multi-class, multi-criteria traffic network equilibrium and systems optimum problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 1-15, January.
    15. Current, John & Min, HoKey, 1986. "Multiobjective design of transportation networks: Taxonomy and annotation," European Journal of Operational Research, Elsevier, vol. 26(2), pages 187-201, August.
    16. Abdulaal, Mustafa & LeBlanc, Larry J., 1979. "Continuous equilibrium network design models," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 19-32, March.
    17. Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
    18. Dial, Robert B., 1997. "Bicriterion traffic assignment: Efficient algorithms plus examples," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 357-379, October.
    19. Friesz, Terry L. & Anandalingam, G. & Mehta, Nihal J. & Nam, Keesung & Shah, Samir J. & Tobin, Roger L., 1993. "The multiobjective equilibrium network design problem revisited: A simulated annealing approach," European Journal of Operational Research, Elsevier, vol. 65(1), pages 44-57, February.
    20. S. Ruzika & M. M. Wiecek, 2005. "Approximation Methods in Multiobjective Programming," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 473-501, September.
    21. Dantzig, George B. & Harvey, Roy P. & Lansdowne, Zachary F. & Robinson, David W. & Maier, Steven F., 1979. "Formulating and solving the network design problem by decomposition," Transportation Research Part B: Methodological, Elsevier, vol. 13(1), pages 5-17, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dung-Ying Lin & Tzu-Yun Huang, 2021. "A Hybrid Metaheuristic for the Unrelated Parallel Machine Scheduling Problem," Mathematics, MDPI, vol. 9(7), pages 1-20, April.
    2. David Eichler & Hillel Bar-Gera & Meir Blachman, 2013. "Vortex-Based Zero-Conflict Design of Urban Road Networks," Networks and Spatial Economics, Springer, vol. 13(3), pages 229-254, September.
    3. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Wang, Judith Y.T. & Ehrgott, Matthias, 2013. "Modelling route choice behaviour in a tolled road network with a time surplus maximisation bi-objective user equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 342-360.
    3. Wang, Guangchao & Jia, Ning & Ma, Shoufeng & Qi, Hang, 2014. "A rank-dependent bi-criterion equilibrium model for stochastic transportation environment," European Journal of Operational Research, Elsevier, vol. 235(3), pages 511-529.
    4. Hongli Xu & Hai Yang & Jing Zhou & Yafeng Yin, 2017. "A Route Choice Model with Context-Dependent Value of Time," Transportation Science, INFORMS, vol. 51(2), pages 536-548, May.
    5. Hong, Sung-Pil & Kim, Kyung min & Byeon, Geunyeong & Min, Yun-Hong, 2017. "A method to directly derive taste heterogeneity of travellers’ route choice in public transport from observed routes," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 41-52.
    6. O’Neill, Sam & Bagdasar, Ovidiu & Berry, Stuart & Popovici, Nicolae & Raja, Ramachandran, 2022. "Modelling equilibrium for a multi-criteria selfish routing network equilibrium flow problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 658-669.
    7. Xu, Zhandong & Chen, Anthony & Liu, Xiaobo, 2023. "Time and toll trade-off with heterogeneous users: A continuous time surplus maximization bi-objective user equilibrium model," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 31-58.
    8. Hamacher, Horst W. & Pedersen, Christian Roed & Ruzika, Stefan, 2007. "Multiple objective minimum cost flow problems: A review," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1404-1422, February.
    9. Chi Xie & Xing Wu & Stephen Boyles, 2019. "Traffic equilibrium with a continuously distributed bound on travel weights: the rise of range anxiety and mental account," Annals of Operations Research, Springer, vol. 273(1), pages 279-310, February.
    10. Anny B. Wang & W. Y. Szeto, 2020. "Bounding the Inefficiency of the Reliability-Based Continuous Network Design Problem Under Cost Recovery," Networks and Spatial Economics, Springer, vol. 20(2), pages 395-422, June.
    11. Ehrgott, Matthias & Wang, Judith Y.T. & Watling, David P., 2015. "On multi-objective stochastic user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 704-717.
    12. 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.
    13. Wu, Wen-Xiang & Huang, Hai-Jun, 2014. "Finding anonymous tolls to realize target flow pattern in networks with continuously distributed value of time," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 31-46.
    14. Andrea Raith & Judith Wang & Matthias Ehrgott & Stuart Mitchell, 2014. "Solving multi-objective traffic assignment," Annals of Operations Research, Springer, vol. 222(1), pages 483-516, November.
    15. Granat, Janusz & Guerriero, Francesca, 2003. "The interactive analysis of the multicriteria shortest path problem by the reference point method," European Journal of Operational Research, Elsevier, vol. 151(1), pages 103-118, November.
    16. D E Boyce, 1984. "Urban Transportation Network-Equilibrium and Design Models: Recent Achievements and Future Prospects," Environment and Planning A, , vol. 16(11), pages 1445-1474, November.
    17. Hosseininasab, Seyyed-Mohammadreza & Shetab-Boushehri, Seyyed-Nader & Hejazi, Seyed Reza & Karimi, Hadi, 2018. "A multi-objective integrated model for selecting, scheduling, and budgeting road construction projects," European Journal of Operational Research, Elsevier, vol. 271(1), pages 262-277.
    18. Lo, Hong K. & Szeto, W.Y., 2009. "Time-dependent transport network design under cost-recovery," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 142-158, January.
    19. Xie, Chi & Travis Waller, S., 2012. "Parametric search and problem decomposition for approximating Pareto-optimal paths," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 1043-1067.
    20. Meng, Qiang & Liu, Zhiyuan & Wang, Shuaian, 2012. "Optimal distance tolls under congestion pricing and continuously distributed value of time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(5), pages 937-957.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:netspa:v:11:y:2011:i:4:p:727-751. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.