Optimal production and procurement decisions in a supply chain with an option contract and partial backordering under uncertainties

This paper considers a decentralized supply chain including one retailer and one manufacturer, where the manufacturer’s production yield and the retailer’s demand are both stochastic. At the beginning of the selling season, the retailer places an order and purchases an option contract with the manufacturer. After the selling season, the excess demand is partially backordered, and the retailer exercises his option order and then place an instant order for the backorders. The optimal ordering policy for the retailer and the corresponding production decision for the manufacturer are studied. Numerical examples are carried out to show the impact of the model parameters on the optimal policies.

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