IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v171y2009i1p3-2510.1007-s10479-008-0385-3.html
   My bibliography  Save this article

Conditional lexicographic orders in constraint satisfaction problems

Author

Listed:
  • Richard Wallace
  • Nic Wilson

Abstract

The lexicographically-ordered CSP (“lexicographic CSP” or “LO-CSP” for short) combines a simple representation of preferences with the feasibility constraints of ordinary CSPs. Preferences are defined by a total ordering across all assignments, such that a change in assignment to a given variable is more important than any change in assignment to any less important variable. In this paper, we show how this representation can be extended to handle conditional preferences in two ways. In the first, for each conditional preference relation, the parents have higher priority than the children in the original lexicographic ordering. In the second, the relation between parents and children need not correspond to the importance ordering of variables. In this case, by obviating the “overwhelming advantage” effect with respect to the original variables and values, the representational capacity is significantly enhanced. For problems of the first type, any of the algorithms originally devised for ordinary LO-CSPs can also be used when some of the domain orderings are dependent on assignments to “parent” variables. For problems of the second type, algorithms based on lexical orders can be used if the representation is augmented by variables and constraints that link preference orders to assignments. In addition, the branch-and-bound algorithm originally devised for ordinary LO-CSPs can be extended to handle CSPs with conditional domain orderings. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Richard Wallace & Nic Wilson, 2009. "Conditional lexicographic orders in constraint satisfaction problems," Annals of Operations Research, Springer, vol. 171(1), pages 3-25, October.
  • Handle: RePEc:spr:annopr:v:171:y:2009:i:1:p:3-25:10.1007/s10479-008-0385-3
    DOI: 10.1007/s10479-008-0385-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-008-0385-3
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10479-008-0385-3?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. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, October.
    2. Peter C. Fishburn, 1974. "Exceptional Paper--Lexicographic Orders, Utilities and Decision Rules: A Survey," Management Science, INFORMS, vol. 20(11), pages 1442-1471, July.
    Full references (including those not matched with items on IDEAS)

    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. Pande, Shashwat M. & Papamichail, K. Nadia & Kawalek, Peter, 2021. "Compatibility effects in the prescriptive application of psychological heuristics: Inhibition, Integration and Selection," European Journal of Operational Research, Elsevier, vol. 295(3), pages 982-995.
    2. KARRI PASANEN & MIKKO KURTTILA & JOUNI PYKÄlÄINEN & JYRKI KANGAS & PEKKA LESKINEN, 2005. "Mesta — Non-Industrial Private Forest Owners' Decision-Support Environment For The Evaluation Of Alternative Forest Plans Over The Internet," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 601-620.
    3. Gerd Gigerenzer, 1997. "Bounded Rationality: Models of Fast and Frugal Inference," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 133(II), pages 201-218, June.
    4. Shuang Liu & Kirsten Maclean & Cathy Robinson, 2019. "A cost-effective framework to prioritise stakeholder participation options," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 7(3), pages 221-241, November.
    5. Petri, Henrik & Voorneveld, Mark, 2016. "Characterizing lexicographic preferences," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 54-61.
    6. Smith, Chris M. & Shaw, Duncan, 2019. "The characteristics of problem structuring methods: A literature review," European Journal of Operational Research, Elsevier, vol. 274(2), pages 403-416.
    7. Chorus, Caspar & van Cranenburgh, Sander & Daniel, Aemiro Melkamu & Sandorf, Erlend Dancke & Sobhani, Anae & Szép, Teodóra, 2021. "Obfuscation maximization-based decision-making: Theory, methodology and first empirical evidence," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 28-44.
    8. Juan Candeal, 2013. "Invariance axioms for preferences: applications to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 453-471, September.
    9. Perrels, Adriaan & Molarius, Riitta & Porthin, Markus & Rosqvist, Tony, 2008. "Testing a Flood Protection Case by Means of a Group Decision Support System," Discussion Papers 449, VATT Institute for Economic Research.
    10. Ahrens, Heinz & Kantelhardt, Jochen, 2007. "Integrating Ecological And Economic Aspects In Land Use Concepts: Some Conclusions From A Regional Land Use Concept For Bayerisches Donauried," 81st Annual Conference, April 2-4, 2007, Reading University, UK 7986, Agricultural Economics Society.
    11. Baudry, Gino & Delrue, Florian & Legrand, Jack & Pruvost, Jérémy & Vallée, Thomas, 2017. "The challenge of measuring biofuel sustainability: A stakeholder-driven approach applied to the French case," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 933-947.
    12. repec:cup:judgdm:v:8:y:2013:i:5:p:552-560 is not listed on IDEAS
    13. J-B Yang & D-L Xu & X Xie & A K Maddulapalli, 2011. "Multicriteria evidential reasoning decision modelling and analysis—prioritizing voices of customer," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(9), pages 1638-1654, September.
    14. Lupo, Toni, 2015. "Fuzzy ServPerf model combined with ELECTRE III to comparatively evaluate service quality of international airports in Sicily," Journal of Air Transport Management, Elsevier, vol. 42(C), pages 249-259.
    15. Guo, Mengzhuo & Zhang, Qingpeng & Liao, Xiuwu & Chen, Frank Youhua & Zeng, Daniel Dajun, 2021. "A hybrid machine learning framework for analyzing human decision-making through learning preferences," Omega, Elsevier, vol. 101(C).
    16. Yuval Rottenstreich & Alex Markle & Johannes Müller-Trede, 2023. "Risky Sure Things," Management Science, INFORMS, vol. 69(8), pages 4707-4720, August.
    17. Viral Gupta & P. K. Kapur & Deepak Kumar, 2019. "Prioritizing and Optimizing Disaster Recovery Solution using Analytic Network Process and Multi Attribute Utility Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 171-207, January.
    18. Florian Methling & Rüdiger Nitzsch, 2019. "Thematic portfolio optimization: challenging the core satellite approach," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 33(2), pages 133-154, June.
    19. Rogerson, Ellen C. & Lambert, James H., 2012. "Prioritizing risks via several expert perspectives with application to runway safety," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 22-34.
    20. Figueira, Jose & Roy, Bernard, 2002. "Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure," European Journal of Operational Research, Elsevier, vol. 139(2), pages 317-326, June.
    21. P. S. Nagpaul & Santanu Roy, 2003. "Constructing a multi-objective measure of research performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 56(3), pages 383-402, March.

    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:spr:annopr:v:171:y:2009:i:1:p:3-25:10.1007/s10479-008-0385-3. 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.