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Approximability and in-approximability results for no-wait shop scheduling

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2 Author(s)
Sviridenko, M. ; IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA ; Woeginger, G.J.

We investigate the approximability of no-wait shop scheduling problems under the makespan criterion. In a flow shop, all jobs pass through the machines in the same ordering. In the more general job shop, the routes of the jobs are job-dependent. We present a polynomial time approximation scheme (PTAS) for the no-wait flow shop problem on any fixed number of machines. Unless P=NP, this result cannot be extended to the job shop problem on a fixed number of machines: We show that the no-wait job shop problem is APX-hard on (i) two machines with at most five operations per job, and on (ii) three machines with at most three operations per job

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Foundations of Computer Science, 2000. Proceedings. 41st Annual Symposium on

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