The Power of Reordering for Online Minimum Makespan Scheduling

The Power of Reordering for Online Minimum Makespan Scheduling Deniz¨ozmen ‡

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Online Minimum Makespan Scheduling with a Buffer

In this paper we study an online minimum makespan scheduling problem with a reordering buffer. We obtain the following results, which improve on work from FOCS 2008: i) for m identical machines, we give a 1.5-competitive online algorithm with a buffer of size 1.5m, which is better than the previous best result : 1.5-competitive algorithm with a buffer of size 1.6197m; ii) for three identical ma...

Improved semi-online makespan scheduling with a reordering buffer

We study semi-online scheduling with a reordering buffer for identical parallel machines. In this problem, jobs arrive one by one and the online algorithm is equipped with a buffer of limited size, which can be used to reorder the jobs when making scheduling decisions. When the buffer is full, one of the jobs in the buffer must be irrevocably assigned to a machine before the next job can be rev...

Minimum Makespan Scheduling

Preemptive Online Scheduling with Reordering

We consider online preemptive scheduling of jobs, arriving one by one, on m identical parallel machines. A buffer of a fixed size K > 0, which assists in partial reordering of the input, is available to be used for the storage of at most K unscheduled jobs. We study the effect of using a fixed sized buffer (of an arbitrary size) on the supremum competitive ratio over all numbers of machines (th...