Online scheduling with rearrangement on two related machines
Theoretical Computer Science
Optimal algorithms for online scheduling with bounded rearrangement at the end
Theoretical Computer Science
Preemptive Online Scheduling with Reordering
SIAM Journal on Discrete Mathematics
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In [1] and [2] the authors investigate a semi on-line ver- sion of a classical parallel machine scheduling problem. In the semi on-line version, there is a buffer of length k which is available to maintain k jobs. The jobs arrive one by one and can be temporarily assigned to the buffer if the buffer is not full. The goal is to assign all jobs to m identical machines such that the makespan is minimized. For two machines, [1] presented a lower bound 43 of the worst-case ratio and [2] presented an optimal algorithm with a buffer of length 1. In this paper, we investigate the problem with m 2 machines. First, we design a new algorithm for Pm//Cmax with a buffer of length m2 and analyze it. Sec- ond, we present some lower bounds of the worst-case ratio.