Commitment and Slack for Online Load Maximization
We consider a basic admission control problem in which jobs with deadlines arrive online and our goal is to maximize the total volume of executed job processing times. We assume that the deadlines have a slack of at least ϵ, that is, each deadline d satisfies d≥ (1+ϵ)· p+r with processing time p and release date r. In addition, we require the admission policy to support immediate commitment, that is, upon a job's submission, we must immediately make the decision of if and where we schedule the job, and this decision is irreversible.