Smart Factory Production Line - bottleneck, OEE and Little's law

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throughput - /h WIP -
Presets

Production line
Material flow
Live readouts
Stations: where the time goes
workingbroken downblockedstarved / idle
Throughput and WIP over time
Experiments

A. Throughput versus WIP. Closed-loop sweep of the pallet count: simulated throughput against the best-case bound min(w/T0, r_b), the practical worst case r_b w / (W0 + w - 1) and exact mean value analysis (valid for exponential times and no breakdowns). The knee sits near the critical WIP W0 = r_b T0.

B. Little's law. Open line at three loads: measured average WIP L against (departure rate) x (mean time in system), plus the M/M/1 tandem formula when the line is exponential.

C. Bottleneck shift. Speeds up the current bottleneck step by step and measures the throughput: it rises until the next station takes over.

The science