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Book cover of Randomized Rounding and Discrete Ham-sandwich Theorems

Randomized Rounding and Discrete Ham-sandwich Theorems

Provably Good Algorithms for Routing and Packing Problems

by University of California, Berkeley. Computer Science Division, Prabhakar Raghavan ยท 1986

ISBN:  Unavailable

Category: Unavailable

Page count: 73

We first consider the problem of global routing in gate-arrays. This problem has important applications in the design of integrated circuits, and can be formulated as a zero-one integer program. We introduce a technique we call randomized rounding for producing a provably good approximation to this integer program from the solution to its relaxation. In order to prove the quality of this approximation, we make use of some new bounds on the tail of the binomial distribution. We present the results of experiments conducted on industrial gate=arrays using our methods; these are encouraging and call for further work.