scheduler design

Fractions are either hardware slices with fixed shapes or soft shares with no isolation, and the scheduler has to know which. The representation, the packing score, the fragmentation arithmetic that spread placement produces, and the defragmentation step that fixes it.

A 100,000-entry queue cannot be scanned every cycle, a big gang cannot wait forever behind small jobs, and a preemption must not discard an hour of work. The loop in order (admit, order, place, reserve, backfill, preempt), the queue-wait arithmetic, and the checkpoint-aware victim rule.