Algo Sc Bullwhip

Phase 1: Input Validation

Collect: end-consumer demand time series AND order time series at each supply chain stage (retailer → distributor → manufacturer → supplier). Gate: At least 2 tiers of order data, minimum 26 periods.

Phase 2: Core Algorithm

1. Compute variance of demand at each tier
2. Compute bullwhip ratio per tier: BWR_i = Var(orders_i) / Var(orders_{i-1})
3. Identify contribution of each cause: batch size analysis, promotion calendar overlap, forecast method evaluation
4. Quantify cost: excess inventory carrying cost, expediting cost, capacity misallocation

Phase 3: Verification

Check: BWR > 1 at upstream stages (confirms bullwhip). Correlate order spikes with identifiable causes (promotions, forecast updates, batch cycles). Gate: Bullwhip quantified and root causes identified.

Phase 4: Output

Return bullwhip ratios with root cause attribution and mitigation recommendations.

Output Format

{
  "bullwhip_ratios": [{"tier": "retailer→distributor", "ratio": 1.8}, {"tier": "distributor→manufacturer", "ratio": 2.3}],
  "root_causes": [{"cause": "order_batching", "contribution_pct": 40}, {"cause": "demand_signal_processing", "contribution_pct": 35}],
  "metadata": {"periods": 52, "tiers_analyzed": 3}
}

Examples

Sample I/O

Input: Consumer demand CV=0.10, Retailer orders CV=0.18, Distributor orders CV=0.32 Expected: BWR retailer=3.24 (0.18²/0.10²), BWR distributor=3.16 (0.32²/0.18²). Strong bullwhip confirmed.

Edge Cases

Gotchas

• Data granularity: Weekly vs monthly data can show different bullwhip magnitudes. Use consistent time buckets across tiers.
• VMI and CPFR: Vendor-managed inventory and collaborative planning reduce bullwhip by sharing demand data. But they require trust and IT integration.
• Information sharing ≠ bullwhip elimination: Even with POS data sharing, lead times and batch constraints still cause some amplification.
• Shortage gaming is hardest to fix: During shortages, customers inflate orders. When supply recovers, cancellations flood in. Only committed-quantity allocations prevent this.
• Measurement challenges: True consumer demand is often unobserved (only POS data). Lost sales from stockouts are invisible, understating true demand variability.

References

• For Lee-Padmanabhan-Whang formal model, see references/bullwhip-model.md
• For information sharing strategies, see references/information-sharing.md