Longest Processing Time rule for identical parallel machines revisited
نویسندگان
چکیده
We consider the Pm||Cmax scheduling problem where the goal is to schedule n jobs on m identical parallel machines to minimize makespan. We revisit the famous Longest Processing Time (LPT ) rule proposed by Graham in 1969. LPT requires to sort jobs in non-ascending order of processing times and then to assign one job at a time to the machine whose load is smallest so far. We provide new insights on LPT and discuss the approximation ratio of a modification of LPT that improves Graham’s bound from ( 4 3 − 1 3m )
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عنوان ژورنال:
- CoRR
دوره abs/1801.05489 شماره
صفحات -
تاریخ انتشار 2018