Minimizing the number of machines for minimum length schedules

Gerd Finke, Pierre Lemaire, Jean-Marie Proth and Maurice Queyranne

European Journal of Operational Research, 2009, vol. 199, issue 3, 702-705

Abstract: In this paper, we present a new objective function for scheduling on parallel machines: minimizing the number of machines for schedules of minimum length. We study its complexity and we prove the NP-completeness of this problem, even if there is no precedences or for unitary execution times. We propose several polynomial algorithms for various particular cases.

Keywords: Parallel; scheduling; Complexity; Minimum; number; of; processors (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:199:y:2009:i:3:p:702-705

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