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A Fast Random Greedy Algorithm for the Component Commonality Problem

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Algorithms — ESA’ 98 (ESA 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1461))

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Abstract

This paper presents a fast, randomized greedy algorithm to solve the Component Commonality Problem approximately. It is based on a geometric random walk, that starts from a given initial solution and accepts only better points during the walk. We use a new type of analysis, that is not based on conductance, but makes use of structural geometric properties of the problem, namely the smoothness of the set of feasible points.

The author was supported by a DAAD-Postdoctoral Fellowship during his visit at Yale University

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References

  1. Dyer, M.A.; Frieze, A.:Computing the volume of convex bodies: A case where randomness provably helps, Proceedings of the Symposium on Applied Math, 1991

    Google Scholar 

  2. Dyer, M.A.; Frieze, A.; Kannan, R.:A random polynomial time algorithm for approximating the volume of convex bodies, Journal of the ACM 38, 1991

    Google Scholar 

  3. Grötschel, M.; Lovasz, L.; Schrijver, A.:Geometric Algorithms and Combinatorial Optimization, Springer Verlag, New York, 1988

    MATH  Google Scholar 

  4. Jayaraman, J.; Srinivasan, J.; Roundy, R.; Tayur, S.:Procurement of common components in a stochastic environment, IBM Technical Report, 1992

    Google Scholar 

  5. Kannan, R.; Mount, J.; Tayur, S.: A randomized Algorithm to optimize over certain convex sets, Mathematics of Operations Research 20, 1995

    Google Scholar 

  6. Motwani, R., Raghavan, P.:Randomized Algorithms, Cambridge University Press, 1995

    Google Scholar 

  7. Wets, R.: Stochastic Programming in Handbooks of Operations Research and Management Science, Vol. 1, North Holland, 1989

    Google Scholar 

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© 1998 Springer-Verlag Berlin Heidelberg

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Kannan, R., Nolte, A. (1998). A Fast Random Greedy Algorithm for the Component Commonality Problem. In: Bilardi, G., Italiano, G.F., Pietracaprina, A., Pucci, G. (eds) Algorithms — ESA’ 98. ESA 1998. Lecture Notes in Computer Science, vol 1461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-68530-8_19

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  • DOI: https://doi.org/10.1007/3-540-68530-8_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64848-2

  • Online ISBN: 978-3-540-68530-2

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