A committed delivery strategy with fixed frequency and quantity

We analyze a supply chain environment in which a distributor facing price-sensitive demand has the opportunity to contractually commit to a delivery quantity at regular intervals over a finite horizon in exchange for a per-unit cost reduction for units acquired via committed delivery. Supplemental orders needed to meet demand are purchased at an additional unit cost. For normally distributed demand, we use a simulation-based approximation to develop models yielding closed-form solutions for the optimal order quantity and resell price for the distributor. Inventory, ordering and pricing implications for this "committed delivery strategy" are investigated.