منابع مشابه
Optimal online-list batch scheduling
We consider the online-list batch scheduling problem. Jobs arrive one by one and have to be assigned upon arrival to a scheduled batch such that the makespan is minimized. Each batch can accommodate up to B jobs. We give a complete classification of the tractability of this online problem.
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Batch scheduling gives a powerful way of increasing the throughput by aggregating multiple homogeneous jobs. It has applications in large scale manufacturing as well as in server scheduling. In batch scheduling, when explained in the setting of server scheduling, the server can process requests of the same type up to a certain number simultaneously. Batch scheduling can be seen as capacitated b...
متن کاملOptimal Online Preemptive Scheduling
In this lecture we’ll study online preemptive scheduling on m machines of arbitrary speeds. We’ll first review the problem and it’s associated literature, then give an optimal deterministic algorithm known as ”RatioStretch”. RatioStretch uses the optimal competitive ratio R > 1 as an input, and achieves R whenever such an R is obtainable. The exact optimal R maybe computed via a linear program,...
متن کاملOptimal Semi-online Algorithm for Scheduling on a Batch Processing Machine
We consider two semi-online scheduling problems on a single batch (processing) machine with jobs’ nondecreasing processing times and jobs’ nonincreasing processing times, respectively. Our objective is to minimize the makespan. A batch processing machine can handle up to B jobs simultaneously. We study an unbounded model where B = ∞. The jobs that are processed together construct a batch, and a...
متن کاملOptimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines
This paper deals with semi-online scheduling on two parallel batch processing machines with jobs’ nondecreasing processing times. Our objective is to minimize the makespan. A batch processing machine can handle up to B jobs simultaneously. We study unbounded model which means that B is sufficiently large. The jobs that are processed together construct a batch, and all jobs in a batch start and ...
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ژورنال
عنوان ژورنال: Information Processing Letters
سال: 2009
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2009.07.006