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Automation and Remote Control

, Volume 71, Issue 10, pp 2109–2121 | Cite as

Scheduling with multiple servers

  • F. Werner
  • S. A. Kravchenko
Multi-Machine and Multi-Stage Scheduling Environments

Abstract

In this paper, we consider the problem of scheduling a set of jobs on a set of identical parallel machines. Before the processing of a job can start, a setup is required which has to be performed by a given set of servers. We consider the complexity of such problems for the minimization of the makespan. For the problem with equal processing times and equal setup times we give a polynomial algorithm. For the problem with unit setup times, m machines and m − 1 servers, we give a pseudopolynomial algorithm. However, the problem with fixed number of machines and servers in the case of minimizing maximum lateness is proven to be unary NP-hard. In addition, recent algorithms for some parallel machine scheduling problems with constant precessing times are generalized to the corresponding server problems for the case of constant setup times. Moreover, we perform a worst case analysis of two list scheduling algorithms for makespan minimization.

Keywords

Remote Control Setup Time Parallel Machine List Schedule Partial Schedule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • F. Werner
    • 1
  • S. A. Kravchenko
    • 2
  1. 1.Otto-von-Guericke-UniversitätMagdeburgGermany
  2. 2.United Institute of Informatics ProblemsBelarussian National Academy of SciencesMinskBelarus

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