On-line admission control and packet scheduling with interleaving

This paper presents a comprehensive study of the effect of job interleaving by preemption on the throughput of a single server where requests arrive with a given processing time and slack. The problem is to decide which requests to serve so as to maximize the server´s utilization. This simple model captures many situations, both at the application (e.g., delivery of video) as well as at the network/transmission levels (e.g., scheduling of packets from input to output interface of a switch). The problem is on-line in nature, and thus we use competitive analysis for measuring the performance of our scheduling algorithms. We consider two modes of operation - with and without commitment - and derive upper and lower bounds for each case. Since competitive analysis is based on the worst-case scenario, the average-case performance of the algorithms is also examined by a simulation study.