Randomized rounding: A technique for provably good algorithms and algorithmic proofs Prabhakar Raghavan Clark D. Tompson Article

Received: 01 September 1985 Revised: 01 May 1986 DOI :
10.1007/BF02579324

Cite this article as: Raghavan, P. & Tompson, C.D. Combinatorica (1987) 7: 365. doi:10.1007/BF02579324 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.

AMS subject classification 90 C 10 This work was supported by Semiconductor Research Corporation grant SRC 82-11-008 and an IBM Doctoral Fellowship.

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Authors and Affiliations Prabhakar Raghavan Clark D. Tompson 1. Computer Science Division U.C. Berkeley USA 2. Computer Science Division U.C. Berkeley USA