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Strategies for Global Optimization of Temporal Preferences

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Principles and Practice of Constraint Programming – CP 2004 (CP 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3258))

Abstract

A temporal reasoning problem can often be naturally characterized as a collection of constraints with associated local preferences for times that make up the admissible values for those constraints. Globally preferred solutions to such problems emerge as a result of well-defined operations that compose and order temporal assignments. The overall objective of this work is a characterization of different notions of global temporal preference within a temporal constraint reasoning framework, and the identification of tractable sub-classes of temporal reasoning problems incorporating these notions. This paper extends previous results by refining the class of useful notions of global temporal preference that are associated with problems that admit of tractable solution techniques. This paper also resolves the hitherto unanswered question of whether the solutions that are globally preferred from a utilitarian criterion for global preference can be found tractably. A technique is described for identifying and representing the entire set of utilitarian-optimal solutions to a temporal problem with preferences.

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References

  1. Ajili, F., El Sakkout, H.: A probe-based algorithm for piecewise linear optimization in scheduling. Annals of Operations Research 118, 25–48 (2003)

    Article  Google Scholar 

  2. Bacchus, F., Grove, A.: Graphical models for preference and utility. In: Proceedings of the Eleventh Conference of Uncertainty in Artificial Intelligence, pp. 3–10. Morgan Kaufmann, San Francisco (1995)

    Google Scholar 

  3. Bresina, J., Golden, K., Smith, D., Washington, R.: Increased flexibility and robustness of mars rovers. In: Proceedings of the 5th International Symposium on Artificial Intelligence, Robotics and Automation for Space, ESTEC, Noordwijk, Netherlands (1999)

    Google Scholar 

  4. Cormen, T.H., Leiserson, C.E., Rivest, R.L.: Introduction to Algorithms. MIT Press, Cambridge (1990)

    MATH  Google Scholar 

  5. Dechter, R., Meiri, I., Pearl, J.: Temporal constraint networks. Artificial Intelligence 49, 61–95 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  6. Dubois, D., Fargier, H., Prade, H.: Possibility theory in constraint satisfaction problems: Handling priority, preference and uncertainty. Applied Intelligence 6(4), 287–309 (1996)

    Article  MathSciNet  Google Scholar 

  7. Ehrgott, M.: Discrete decision problems, multiple criteria optimization classes and lexicographic max-ordering. In: Trends in Multicriteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol. 465, pp. 31–44. Springer, Heidelberg (1998)

    Google Scholar 

  8. Junker, U.: Preference-based search and multi-criteria optimization. In: Proceedings of AAAI 2002, AAAI Press, Menlo Park (2003)

    Google Scholar 

  9. Khatib, L., Morris, P., Morris, R., Rossi, F.: Temporal reasoning about preferences. In: Proceedings of the 17th International Joint Conference on Artificial Intelligence (IJCAI 2001), Seattle, WA, USA, Morgan Kaufmann, San Francisco (2001)

    Google Scholar 

  10. Khatib, L., Morris, P., Morris, R., Venable, B.: Tractable pareto optimization of temporal preferences. In: Proceedings of the 18th International Joint Conference on Artificial Intelligence (IJCAI 2003), Acupulco, Mexico, Morgan Kaufmann, San Francisco (2003)

    Google Scholar 

  11. Muscettola, N., Morris, P., Tsamardinos, I.: Reformulating temporal plans for efficient execution. In: Proceedings of Sixth International Conference on Principles of Knowledge Representation and Reasoning, KR 1998 (1998)

    Google Scholar 

  12. El Sakkout, H., Wallace, M., Richards, T.: Minimal perturbance in dynamic scheduling. In: Proceedings of the 13th European Conference on Artificial Intelligence (ECAI 1998), pp. 504–508 (1998)

    Google Scholar 

  13. Schrijver, A.: Theory of linear and integer programming. John Wiley and Sons, NY (1986)

    MATH  Google Scholar 

  14. Toth, P., Vigo, D.: The Vehicle Routing Problem. SIAM Monographs on Discrete Mathematics and Applications, Philadelphia, PA (2000)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Morris, P., Morris, R., Khatib, L., Ramakrishnan, S., Bachmann, A. (2004). Strategies for Global Optimization of Temporal Preferences. In: Wallace, M. (eds) Principles and Practice of Constraint Programming – CP 2004. CP 2004. Lecture Notes in Computer Science, vol 3258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30201-8_31

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  • DOI: https://doi.org/10.1007/978-3-540-30201-8_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23241-4

  • Online ISBN: 978-3-540-30201-8

  • eBook Packages: Springer Book Archive

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