Improved Approximation Algorithms for Shop Scheduling Problems
SIAM Journal on Computing
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Shop scheduling problems are known to be notoriously intractable, both in theory and practice. In this paper we give a randomized approximation algorithm for flow shop scheduling where the number of machines is part of the input problem. Our algorithm has a multiplicative factor of 2(1 + δ) and an additive term of O(mln(m+ n)pmax)/δ2).