The Economic Order Quantity (EOQ) is the classic inventory formula that balances two opposing costs: ordering/setup cost (favoring large, infrequent orders) and holding cost (favoring small, frequent ones). The optimum is the square-root trade-off between them.
EOQ is the purchasing analogue of batch sizing in production. Lean challenges its assumptions by attacking the setup/ordering cost directly through SMED, which shrinks the economic lot toward one.