Non-approximability Results for Scheduling Problems with Minsum Criteria

نویسندگان

  • Han Hoogeveen
  • Petra Schuurman
  • Gerhard J. Woeginger
چکیده

We provide several non-approximability results for deterministic scheduling problems whose objective is to minimize the total job completion time. Unless P = NP, none of the problems under consideration can be approximated in polynomial time within arbitrarily good precision. Most of our results are derived by Max SNP hardness proofs. Among the investigated problems are: scheduling unrelated machines with job release dates, scheduling ow shops, scheduling open shops, scheduling parallel machines with precedence constraints and unit processing times, and two variants of the latter problem with unit communication delays.

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تاریخ انتشار 1998