Using Different Approach to Find Optimal Solutions in Economic Production Quantity Models

• Main Authors: Chih-an Lin, 林芷安
• Other Authors: Kuo-Ren Lou
• Format: Others
• Language: zh-TW
• Published: 2016
• Online Access: http://ndltd.ncl.edu.tw/handle/71723843144083568401

碩士 === 淡江大學 === 管理科學學系碩士班 === 104 === In the inventory models, there are various factors that can affect the optimum replenishment time. Buyer and seller in real life develop different ways to achieve the deal of a win-win situation, providing the credit time that can be extended in allowed situation to delay payment. Seller can make the buyer to have more time to facilitate the capital turnover through this way, and also can reduce the time of inventory and the inventory holding cost. Although the seller increases the opportunity cost, but is able to attract more buyers to buy in fact. Available inventory model can be created in different forms. Almost all researchers use calculus techniques to find the optimal solution, we also use it. But the production lot size actually is not a continuous variable, so we use the difference method to treat the model as following, and then find the optimal solution. Finally, how differences are between both. This study cites the model with an example established by Teng et al in 2013, and then uses different methods to calculate the optimal solution. The results of this research show that using calculus method to find the optimal solution that is nothing different with the original model by an arithmetic-geometric inequality method, and there are the same total profit. But there is a different result by using difference method from calculus method.