Extend two-provider multi-period bounds to m providers

Establish whether, under aggregate workload constraints, the two-provider O(1)-per-evaluation-period excess-infeasibility bound of Cheapest‑Feasible Matching relative to Greedy‑Shortest Matching extends to m providers in the multi-period setting.

Background

In the multi-period analysis with two providers, the paper shows that the excess number of infeasible matches incurred by Cheapest‑Feasible Matching (CFM) relative to Greedy‑Shortest Matching (GSM) is at most one per evaluation hyper-period, yielding an O(1) bound.

The authors explicitly pose as an open question whether this O(1) per-period bound scales to m providers when aggregate workload constraints apply.