Recent Results for Online Makespan Minimization
Overview: We study a classical scheduling problem that has been investigated for more than forty years. Consider a sequence of jobs σ = J 1, …, J n that has to be scheduled on m identical parallel machines. Each job J t has an individual processing time p t , 1 ≤ t ≤ n. Preemption of jobs is not allowed. The goal is to minimize the makespan, i.e. the maximum completion time of any job in the constructed schedule. In the offline variant of the problem all jobs of σ are known in advance. In the online variant the jobs arrive one by one. Each incoming job J t has to be assigned immediately to one of the machines without knowledge of any future jobs J t′, t′ > t.
KeywordsCompetitive Ratio Online Algorithm Online Schedule Identical Parallel Machine Maximum Completion Time
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