Minimizing Makespan in No-Wait Job Shops

نویسندگان

  • Nikhil Bansal
  • Mohammad Mahdian
  • Maxim Sviridenko
چکیده

In this paper we study polynomial time approximation schemes (PTASes) for the no-wait job shop scheduling problem with the makespan objective function. It is known that the problem is MaxSNP-hard in the case when each job is allowed to have three operations or more. We show that if each job has at most two operations, the problem admits a PTAS if the number of machines is a constant (i.e., not part of the input). If the number of machines is not a constant, we show that the problem is hard to approximate within a factor better than 5=4.

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عنوان ژورنال:
  • Math. Oper. Res.

دوره 30  شماره 

صفحات  -

تاریخ انتشار 2005