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Randomized rounding: A technique for provably good algorithms and algorithmic proofs

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Abstract

We study the relation between a class of 0–1 integer linear programs and their rational relaxations. We give a randomized algorithm for transforming an optimal solution of a relaxed problem into a provably good solution for the 0–1 problem. Our technique can be a of extended to provide bounds on the disparity between the rational and 0–1 optima for a given problem instance.

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Authors and Affiliations

  1. Computer Science Division, 573 Evans Hall, 94720, U.C. Berkeley, CA, USA

    Prabhakar Raghavan

  2. Computer Science Division, 573 Evans Hall, 94720, U.C. Berkeley, CA, USA

    Clark D. Tompson

Authors
  1. Prabhakar Raghavan
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  2. Clark D. Tompson
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Additional information

This work was supported by Semiconductor Research Corporation grant SRC 82-11-008 and an IBM Doctoral Fellowship.

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Raghavan, P., Tompson, C.D. Randomized rounding: A technique for provably good algorithms and algorithmic proofs. Combinatorica 7, 365–374 (1987). https://doi.org/10.1007/BF02579324

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  • DOI: https://doi.org/10.1007/BF02579324

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