We study non-preemptive, online admission control in the hard deadline mode
l: each job must either be serviced prior to its deadline or be rejected. O
ur setting consists of a single resource that services an online sequence o
f jobs; each job has a length indicating the length of time for which it ne
eds the resource and a delay indicating the maximum time it can wait for th
e service to be started. The goal is to maximize total resource utilization
. The jobs are non-preemptive and exclusive, meaning once a job begins, it
runs to completion, and at most one job fan use the resource at any time. W
e obtain a series of results, under varying assumptions of job lengths and
delays. (C) 2000 Academic Press.