A note on a buyer–vendor EOQ model with changeable lead-time in a supply chain

Hsiao and Lin discussed Stackelberg game in supply chain and investigated the supplier's optimal lead time and the retailer's optimal cycle time. But the authors just derived the proximate solution of the optimal lead time and optimal cycle time. In this note, we will offer a simple algebraic approach to find the exact optimal lead time and optimal cycle time in the constant marker's demand rate situation. Then, we can find that our exact solution is better than Hsiao and Lin's approximate solution from the numerical examples.