Scheduling three chains on two parallel machines

Alessandro Agnetis, Marta Flamini, Gaia Nicosia and Andrea Pacifici

European Journal of Operational Research, 2010, vol. 202, issue 3, 669-674

Abstract: We consider the problem of scheduling n tasks subject to chain-precedence constraints on two identical machines with the objective of minimizing the makespan. The problem is known to be strongly NP-hard. Here, we prove that it is binary NP-hard even with three chains. Furthermore, we characterize the complexity of this case by presenting a pseudopolynomial time algorithm and a fully polynomial time approximation scheme.

Keywords: Computational; complexity; Scheduling; Parallel; machines; Approximation (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:202:y:2010:i:3:p:669-674

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