operations-research

Completion Rate and Rework: The Exponential Decay Model of Effective Throughput

Effective throughput is shipped output adjusted by rework return

Enterprise AI systems often optimize completion rate while under-accounting for rework. A system with high completion but high rework can have much lower net throughput. This paper models effective throughput as F_effective = F_short * (1 - Rework) and models rework decay with gate quality as R(g) = R_0 * e^(-beta*g). We derive an optimal gate strength g* that maximizes net throughput under the throughput-quality tradeoff.