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A modified LPT algorithm for the two uniform parallel machine makespan minimization problem

Christos Koulamas and George J. Kyparisis

European Journal of Operational Research, 2009, vol. 196, issue 1, 61-68

Abstract: We propose a modified longest processing time (MLPT) heuristic algorithm for the two uniform machine makespan minimization problem. The MLPT algorithm schedules the three longest jobs optimally first, followed by the remaining jobs sequenced according to the LPT rule. We prove the tight worst-case ratio bound of for the MLPT algorithm which is an improvement over the tight worst-case ratio bound of 1.28 for the LPT algorithm.

Keywords: Scheduling; Uniform; parallel; machines; LPT; Approximation; algorithms (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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