Comparing the minimum completion times of two longest-first scheduling-heuristics

Rico Walter ()

Central European Journal of Operations Research, 2013, vol. 21, issue 1, 125-139

Abstract: For the basic problem of non-preemptively scheduling n independent jobs on m identical parallel machines so that the minimum (or earliest) machine completion time is maximized, we compare the performance relationship between two well-known longest-first heuristics—the LPT- (longest processing time) and the RLPT-heuristic (restricted LPT). We provide insights into the solution structure of these two sequencing heuristics and prove that the minimum completion time of the LPT-schedule is at least as long as the minimum completion time of the RLPT-schedule. Furthermore, we show that the minimum completion time of the RLPT-heuristic always remains within a factor of 1/m of the optimal minimum completion time. The paper finishes with a comprehensive experimental study of the probabilistic behavior of RLPT-schedules compared to LPT-schedules in the two-machine case. Copyright Springer-Verlag 2013

Keywords: Scheduling; Identical parallel machines; Heuristics; Minimum completion time; Worst-case analysis (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10100-011-0217-4

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