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Improved Bounded Max-Sum for Distributed Constraint Optimization

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Principles and Practice of Constraint Programming (CP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7514))

Abstract

Bounded Max-Sum is a message-passing algorithm for solving Distributed Constraint Optimization Problems able to compute solutions with a guaranteed approximation ratio. Although its approximate solutions were empirically proved to be within a small percentage of the optimal solution on low and moderately dense problems, in this paper we show that its theoretical approximation ratio is overestimated, thus overshadowing its good performance. We propose a new algorithm, called Improved Bounded Max-Sum, whose approximate solutions are at least as good as the ones found by Bounded Max-Sum and with a tighter approximation ratio. Our empirical evaluation shows that the new approximation ratio is significantly tighter.

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References

  1. Aji, S.M., McEliece, R.J.: The generalized distributive law. IEEE Transactions on Information Theory 46(2), 325–343 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Farinelli, A., Rogers, A., Petcu, A., Jennings, N.R.: Decentralised coordination of low-power embedded devices using the max-sum algorithm. In: AAMAS, pp. 639–646 (2008)

    Google Scholar 

  3. Fitzpatrick, S., Meetrens, L.: Distributed coordination through anarchic optimization. In: Distributed Sensor Networks A Multiagent Perspective, pp. 257–293. Kluwer Academic (2003)

    Google Scholar 

  4. Maheswaran, R.J., Pearce, J., Tambe, M.: A family of graphical-game-based algorithms for distributed constraint optimization problems. In: Coordination of Large-Scale Multiagent Systems, pp. 127–146. Springer (2005)

    Google Scholar 

  5. Mailler, R., Lesser, V.R.: Solving distributed constraint optimization problems using cooperative mediation. In: AAMAS, pp. 438–445 (2004)

    Google Scholar 

  6. Modi, P.J., Shen, W.M., Tambe, M., Yokoo, M.: Adopt: asynchronous distributed constraint optimization with quality guarantees. Artif. Intell. 161(1-2), 149–180 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  7. Petcu, A., Faltings, B.: A scalable method for multiagent constraint optimization. In: IJCAI, pp. 266–271 (2005)

    Google Scholar 

  8. Rogers, A., Farinelli, A., Stranders, R., Jennings, N.R.: Bounded approximate decentralised coordination via the max-sum algorithm. Artif. Intell. 175(2), 730–759 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. Vinyals, M., Shieh, E., Cerquides, J., Rodriguez-Aguilar, J.A., Yin, Z., Tambe, M., Bowring, E.: Quality guarantees for region optimal dcop algorithms. In: AAMAS, pp. 133–140 (2011)

    Google Scholar 

  10. Vinyals, M., Shieh, E., Cerquides, J., Rodriguez-Aguilar, J.A., Yin, Z., Tambe, M., Bowring, E.: Reward-based region optimal quality guarantees. In: OPTMAS Workshop (2011)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Rollon, E., Larrosa, J. (2012). Improved Bounded Max-Sum for Distributed Constraint Optimization. In: Milano, M. (eds) Principles and Practice of Constraint Programming. CP 2012. Lecture Notes in Computer Science, vol 7514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33558-7_45

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  • DOI: https://doi.org/10.1007/978-3-642-33558-7_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33557-0

  • Online ISBN: 978-3-642-33558-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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