Lagrangian relaxation in capacity allocation

A deployable approach must explain what it optimizes, what it leaves uncertain and when it should defer. Those questions guide this brief on lagrangian relaxation in capacity allocation.

Practitioner lens

A responsible implementation of lagrangian relaxation in capacity allocation includes a fallback policy, approval thresholds, model-version records and a way to explain infeasible or conflicting recommendations.

First experiment

Test the method at the level where the decision is executed, then inspect how aggregation changes results.

This is an original educational brief. It is a starting point for discussion, not a claim that one technique fits every supply chain.