IDEAS home Printed from https://ideas.repec.org/a/kap/jgeosy/v15y2013i2p211-228.html
   My bibliography  Save this article

An adaptive compromise programming method for multi-objective path optimization

Author

Listed:
  • Rongrong Li
  • Yee Leung
  • Hui Lin
  • Bo Huang

Abstract

Network routing problems generally involve multiple objectives which may conflict one another. An effective way to solve such problems is to generate a set of Pareto-optimal solutions that is small enough to be handled by a decision maker and large enough to give an overview of all possible trade-offs among the conflicting objectives. To accomplish this, the present paper proposes an adaptive method based on compromise programming to assist decision makers in identifying Pareto-optimal paths, particularly for non-convex problems. This method can provide an unbiased approximation of the Pareto-optimal alternatives by adaptively changing the origin and direction of search in the objective space via the dynamic updating of the largest unexplored region till an appropriately structured Pareto front is captured. To demonstrate the efficacy of the proposed methodology, a case study is carried out for the transportation of dangerous goods in the road network of Hong Kong with the support of geographic information system. The experimental results confirm the effectiveness of the approach. Copyright Springer-Verlag 2013

Suggested Citation

  • Rongrong Li & Yee Leung & Hui Lin & Bo Huang, 2013. "An adaptive compromise programming method for multi-objective path optimization," Journal of Geographical Systems, Springer, vol. 15(2), pages 211-228, April.
    • Handle: RePEc:kap:jgeosy:v:15:y:2013:i:2:p:211-228
    DOI: 10.1007/s10109-012-0172-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10109-012-0172-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10109-012-0172-1?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. Alan Murray, 2010. "Advances in location modeling: GIS linkages and contributions," Journal of Geographical Systems, Springer, vol. 12(3), pages 335-354, September.
    2. Rongrong Li & Yee Leung, 2011. "Multi-objective route planning for dangerous goods using compromise programming," Journal of Geographical Systems, Springer, vol. 13(3), pages 249-271, September.
    3. Davies, Cedric & Lingras, Pawan, 2003. "Genetic algorithms for rerouting shortest paths in dynamic and stochastic networks," European Journal of Operational Research, Elsevier, vol. 144(1), pages 27-38, January.
    4. Stanley Zionts & Jyrki Wallenius, 1976. "An Interactive Programming Method for Solving the Multiple Criteria Problem," Management Science, INFORMS, vol. 22(6), pages 652-663, February.
    5. 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.
    6. Akgun, Vedat & Erkut, Erhan & Batta, Rajan, 2000. "On finding dissimilar paths," European Journal of Operational Research, Elsevier, vol. 121(2), pages 232-246, March.
    7. Ningchuan Xiao & David A Bennett & Marc P Armstrong, 2002. "Using Evolutionary Algorithms to Generate Alternatives for Multiobjective Site-Search Problems," Environment and Planning A, , vol. 34(4), pages 639-656, April.
    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. Sazvar, Z. & Mirzapour Al-e-hashem, S.M.J. & Baboli, A. & Akbari Jokar, M.R., 2014. "A bi-objective stochastic programming model for a centralized green supply chain with deteriorating products," International Journal of Production Economics, Elsevier, vol. 150(C), pages 140-154.

    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. Sadeghi, Mohammad & Yaghoubi, Saeed, 2024. "Optimization models for cloud seeding network design and operations," European Journal of Operational Research, Elsevier, vol. 312(3), pages 1146-1167.
    2. Ming Zhao & Qiuwen Chen, 2015. "Risk-based optimization of emergency rescue facilities locations for large-scale environmental accidents to improve urban public safety," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(1), pages 163-189, January.
    3. Xu, Haiyan & Marc Kilgour, D. & Hipel, Keith W. & Kemkes, Graeme, 2010. "Using matrices to link conflict evolution and resolution in a graph model," European Journal of Operational Research, Elsevier, vol. 207(1), pages 318-329, November.
    4. Alan T. Murray, 2016. "Maximal Coverage Location Problem," International Regional Science Review, , vol. 39(1), pages 5-27, January.
    5. Dell'Olmo, Paolo & Gentili, Monica & Scozzari, Andrea, 2005. "On finding dissimilar Pareto-optimal paths," European Journal of Operational Research, Elsevier, vol. 162(1), pages 70-82, April.
    6. Lucio Bianco & Massimiliano Caramia & Stefano Giordani & Veronica Piccialli, 2016. "A Game-Theoretic Approach for Regulating Hazmat Transportation," Transportation Science, INFORMS, vol. 50(2), pages 424-438, May.
    7. Huili Zhang & Yinfeng Xu & Xingang Wen, 2015. "Optimal shortest path set problem in undirected graphs," Journal of Combinatorial Optimization, Springer, vol. 29(3), pages 511-530, April.
    8. Pedro V. Amaral & Alan T. Murray, 2016. "Equity in regional access to renal dialysis in Brazil," Regional Science Policy & Practice, Wiley Blackwell, vol. 8(1-2), pages 27-44, March.
    9. Thomas L. Saaty, 2013. "The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach," Operations Research, INFORMS, vol. 61(5), pages 1101-1118, October.
    10. Mateos, A. & Jimenez, A. & Rios-Insua, S., 2006. "Monte Carlo simulation techniques for group decision making with incomplete information," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1842-1864, November.
    11. Eliş, Haluk & Tansel, Barbaros & Oğuz, Osman & Güney, Mesut & Kian, Ramez, 2021. "On guarding real terrains: The terrain guarding and the blocking path problems," Omega, Elsevier, vol. 102(C).
    12. Burcin Bozkaya & Seda Yanik & Selim Balcisoy, 2010. "A GIS-Based Optimization Framework for Competitive Multi-Facility Location-Routing Problem," Networks and Spatial Economics, Springer, vol. 10(3), pages 297-320, September.
    13. Torres-Rojo, J. M., 2001. "Risk management in the design of a feeding ration: a portfolio theory approach," Agricultural Systems, Elsevier, vol. 68(1), pages 1-20, April.
    14. Dimitris Bertsimas & Allison O'Hair, 2013. "Learning Preferences Under Noise and Loss Aversion: An Optimization Approach," Operations Research, INFORMS, vol. 61(5), pages 1190-1199, October.
    15. Nowak, Maciej, 2007. "Aspiration level approach in stochastic MCDM problems," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1626-1640, March.
    16. Diclehan Tezcaner & Murat Köksalan, 2011. "An Interactive Algorithm for Multi-objective Route Planning," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 379-394, August.
    17. Navindran Davendralingam & Daniel. A. DeLaurentis, 2015. "A Robust Portfolio Optimization Approach to System of System Architectures," Systems Engineering, John Wiley & Sons, vol. 18(3), pages 269-283, May.
    18. Roy, Sandeepan & Maji, Avijit, 2019. "Optimization of High-Speed Railway Station Location Selection Based on Accessibility and Environmental Impact," ADBI Working Papers 953, Asian Development Bank Institute.
    19. Alan T. Murray & Susan Burtner, 2023. "Physical distancing as an integral component of pandemic response," Letters in Spatial and Resource Sciences, Springer, vol. 16(1), pages 1-17, December.
    20. Andonegi, Aitor & Garmendia, Eneko & Aldezabal, Arantza, 2021. "Social multi-criteria evaluation for managing biodiversity conservation conflicts," Land Use Policy, Elsevier, vol. 109(C).

    More about this item

    Keywords

    Multi-objective optimization; Compromise programming; Multi-objective shortest path; Pareto-optimality; C44; C61; L91;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General

    Statistics

    Access and download statistics

    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:jgeosy:v:15:y:2013:i:2:p:211-228. 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.