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A rounding algorithm for alternate machine scheduling  

Hwang, Hark-Chin (조선대학교 산업공학과)
Publication Information
Korean Management Science Review / v.24, no.2, 2007 , pp. 33-42 More about this Journal
Abstract
In this paper we consider an alternate m machine scheduling problem in which each job having at most two eligible machines should be assigned with the objective of makespan minimization. For this problem. we propose a $O(m2^m)$ time rounding algorithm with performance ratio at most 1.5. For a little general problem where each job can be processed in at most three machines, we prove that a polynomial time algorithm does not exist with performance ratio less than 1.5.
Keywords
Parallel machine scheduling; Approximation algorithm; Performance ratio; NP-Complete;
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