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List Factoring and Relative Worst Order Analysis

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Approximation and Online Algorithms (WAOA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6534))

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Abstract

Relative worst order analysis is a supplement or alternative to competitive analysis which has been shown to give results more in accordance with observed behavior of online algorithms for a range of different online problems. The contribution of this paper is twofold. First, it adds the static list accessing problem to the collection of online problems where relative worst order analysis gives better results. Second, and maybe more interesting, it adds the non-trivial supplementary proof technique of list factoring to the theoretical toolbox for relative worst order analysis.

This work was supported in part by the Danish Natural Science Research Council.

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References

  1. Albers, S.: Improved randomized on-line algorithms for the list update problem. SIAM Journal on Computing 27(3), 682–693 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  2. Albers, S., Lauer, S.: On list update with locality of reference. In: Aceto, L., DamgÃ¥rd, I., Goldberg, L.A., Halldórsson, M.M., Ingólfsdóttir, A., Walukiewicz, I. (eds.) ICALP 2008, Part I. LNCS, vol. 5125, pp. 96–107. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  3. Albers, S., von Stengel, B., Werchner, R.: A combined BIT and TIMESTAMP algorithm for the list update problem. Information Processing Letters 56, 135–139 (1995)

    Article  MATH  Google Scholar 

  4. Albers, S., Westbrook, J.: Self-organizing data structures. In: Fiat, A., Woeginger, G.J. (eds.) Online Algorithms — The State of the Art. LNCS, vol. 1442, pp. 13–51. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  5. Angelopoulos, S., Dorrigiv, R., López-Ortiz, A.: On the separation and equivalence of paging strategies. In: 18th ACM-SIAM Symposium on Discrete Algorithms, pp. 229–237 (2007)

    Google Scholar 

  6. Angelopoulos, S., Dorrigiv, R., López-Ortiz, A.: List update with locality of reference. In: Laber, E.S., Bornstein, C., Nogueira, L.T., Faria, L. (eds.) LATIN 2008. LNCS, vol. 4957, pp. 399–410. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Bachrach, R., El-Yaniv, R.: Online list accessing algorithms and their applications: Recent empirical evidence. In: Proceedings of the 8th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 53–62 (1997)

    Google Scholar 

  8. Ben-David, S., Borodin, A.: A New Measure for the Study of On-Line Algorithms. Algorithmica 11, 73–91 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  9. Bentley, J.L., McGeoch, C.C.: Amortized analyses of self-organizing sequential search heuristics. Communications of the ACM 28, 404–411 (1985)

    Article  Google Scholar 

  10. Borodin, A., El-Yaniv, R.: Online Computation and Competitive Analysis. Cambridge University Press, Cambridge (1998)

    MATH  Google Scholar 

  11. Boyar, J., Favrholdt, L.M.: The relative worst order ratio for on-line algorithms. ACM Transactions on Algorithms 3(2), article 22 (2007)

    Google Scholar 

  12. Boyar, J., Favrholdt, L.M., Larsen, K.S.: The relative worst-order ratio applied to paging. Journal of Computer and System Sciences 73, 818–843 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  13. Boyar, J., Irani, S., Larsen, K.S.: A Comparison of Performance Measures for Online Algorithms. In: Dehne, F., Gavrilova, M., Sack, J.-R., Tóth, C.D. (eds.) WADS 2009. LNCS, vol. 5664, pp. 119–130. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  14. Boyar, J., Medvedev, P.: The relative worst order ratio applied to seat reservation. ACM Transactions on Algorithms 4(4), article 48 (2008)

    Google Scholar 

  15. Dorrigiv, R., Ehmsen, M.R., López-Ortiz, A.: Parameterized analysis of paging and list update algorithms. In: Bampis, E., Jansen, K. (eds.) WAOA 2009. LNCS, vol. 5893, pp. 104–115. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  16. Dorrigiv, R., López-Ortiz, A.: A Survey of Performance Measures for On-line Algorithms. SIGACT News 36(3), 67–81 (2005)

    Article  Google Scholar 

  17. Ehmsen, M.R., Kohrt, J.S., Larsen, K.S.: List factoring and relative worst order analysis (2010); arXiv:1009.5787

    Google Scholar 

  18. Epstein, L., Favrholdt, L.M., Kohrt, J.S.: Comparing online algorithms for bin packing problems. Journal of Scheduling (accepted for publication)

    Google Scholar 

  19. Epstein, L., Favrholdt, L.M., Kohrt, J.S.: Separating scheduling algorithms with the relative worst order ratio. Journal of Combinatorial Optimization 12(4), 362–385 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  20. Garefalakis, T.: A new family of randomized algorithms for list accessing. In: Burkard, R.E., Woeginger, G.J. (eds.) ESA 1997. LNCS, vol. 1284, pp. 200–216. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  21. Graham, R.L.: Bounds on multiprocessing timing anomalies. SIAM Journal on Applied Mathematics 17(2), 416–429 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  22. Irani, S.: Two results on the list update problem. Information Processing Letters 38(6), 301–306 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  23. Karlin, A.R., Manasse, M.S., Rudolph, L., Sleator, D.D.: Competitive snoopy caching. Algorithmica 3, 79–119 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  24. Kenyon, C.: Best-fit bin-packing with random order. In: 7th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 359–364 (1996)

    Google Scholar 

  25. Koutsoupias, E., Papadimitriou, C.H.: Beyond Competitive Analysis. SIAM Journal on Computing 30(1), 300–317 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  26. Krumke, S.O., de Paepe, W.E., Rambau, J., Stougie, L.: Bincoloring. Theoretical Computer Science 407(1-3), 231–241 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  27. McCabe, J.: On serial files with relocatable records. Operations Research 13(4), 609–618 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  28. Reingold, N., Westbrook, J., Sleator, D.D.: Randomized competitive algorithms for the list update problem. Algorithmica 11, 15–32 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  29. Sleator, D.D., Tarjan, R.E.: Amortized efficiency of list update and paging rules. Communications of the ACM 28(2), 202–208 (1985)

    Article  MathSciNet  Google Scholar 

  30. Teia, B.: A lower bound for randomized list update algorithms. Information Processing Letters 47, 5–9 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  31. Young, N.: The k-server dual and loose competitiveness for paging. Algorithmica 11, 525–541 (1994)

    Article  MathSciNet  Google Scholar 

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Ehmsen, M.R., Kohrt, J.S., Larsen, K.S. (2011). List Factoring and Relative Worst Order Analysis. In: Jansen, K., Solis-Oba, R. (eds) Approximation and Online Algorithms. WAOA 2010. Lecture Notes in Computer Science, vol 6534. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18318-8_11

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  • DOI: https://doi.org/10.1007/978-3-642-18318-8_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18317-1

  • Online ISBN: 978-3-642-18318-8

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