影片出租業者該如何去決定其新片的庫存水準？由於影片出租業的需求隨著時間的變化一直在遞減，所以有關於這種情況的訂貨策略可分為兩方面來探討：(i) 期初的影片訂購數量及(ii) 新片在新片架上的擺放時間應訂為多長才能使得利潤最大。在租片的期間為已知情況下及需求為確定型的線性需求函數下，本研究將發展出一基本的數學模型去描述新片期間訂定的長短會如何去影響到影片出租商的利潤。之後將會把基本模型擴充，即在基本模型中加入營收分享契約並探討加入營收分享契約後是否能夠達成雙贏的局面。本研究將使用quasi-gradient演算法去求得最佳的期初新片訂購量、新片期間及利潤分享係數以最大化整個供應鏈的利潤。 最後，本研究將透過數學實驗分析去探討營收分享契約是否能夠去整合供應鏈及對於整個供應鏈利潤的影響為何，並討論利潤分享係數該如何訂定才能使得供應鏈中的成員達成雙贏的局面。 How should a video rental shop replenish its stock of new tapes over time? Any such policy should consist of two key dimensions: (i) the number of tapes purchased initially; and (ii) when to remove a videotape from the front shelves and replace it by a newly released one. Consider a retailer that rents videotapes to customers for a pre-specified rental duration. By the deterministic linear rental demand and return process, we first develop a basic model that is intended to analyze the impact of new tape rental period on the retailer’s profit in this study. Then we extend this basic model to the case in which a supplier offers a revenue sharing contract to a retailer. In the extension model, we investigate whether the revenue-sharing contract can achieve the win-win conditions or not. We use the quasi-gradient algorithm to determine the optimal initial inventory level and the new tape rental period to maximize the supply chain’s profit under basic model and extension model. In numerical experiment, we investigate the impact of the revenue-sharing contract and whether the revenue-sharing contract can achieve the win-win conditions or not. Then, we show that the value of have an exact range to achieve the win-win conditions. Finally, we will show that revenue sharing contract can optimize the chain and bring win-win conditions to the players in the video rental industry.
