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Properties of optimal schedules for the minimization total weighted completion time in preemptive equal-length job with release dates scheduling problem on a single machine

  • Scheduling Problems on a Single Machine
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Abstract

In this paper, we consider the minimizing total weighted completion time in preemptive equal-length job with release dates scheduling problem on a single machine. This problem is known to be open. Here, we give some properties of optimal schedules for the problem and its special cases.

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References

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  2. Baptiste, Ph., Scheduling Equal-Length Jobs on Identical Parallel Machines, Discrete Appl. Math., 2000, no. 103, pp. 21–32.

  3. Smith, W.E., Various Optimizers for Single-stage Production, Naval Res. Logistics Quart., 1956, no. 3, pp. 59–66.

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Original Russian Text © A.A. Lazarev, A.G. Kvaratskhelia, 2010, published in Avtomatika i Telemekhanika, 2010, No. 10, pp. 80–89.

This work was supported by the program of Presidium of the Russian Academy of Sciences no. 29 “The Mathematical Theory of Control.”

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Lazarev, A.A., Kvaratskhelia, A.G. Properties of optimal schedules for the minimization total weighted completion time in preemptive equal-length job with release dates scheduling problem on a single machine. Autom Remote Control 71, 2085–2092 (2010). https://doi.org/10.1134/S0005117910100073

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  • DOI: https://doi.org/10.1134/S0005117910100073

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