We investigate a task insertion heuristic for oversubscribed scheduling problems, max-availability, that uses a simple estimate of resource contention to assign tasks to intervals expected to have the best worst case resource availability. Prior research in value and variable ordering heuristics for scheduling problems indicated that sophisticated, but more costly measures of resource contention can outperform simpler ones by more reliably pruning the search space. We demonstrate that for oversubscribed, priority-based problems where a feasible, optimal solution may not even exist, max-availability generates schedules of similar quality to other contention based heuristics with much less computational overhead.
Laurence A. Kramer, Stephen F. Smith