Optimal policy for an inventory system with power demand,and backlogged shortages,under considering the production rate stochastically proportional to the demand rate, and the stochastic reorder point

• Main Authors: Yong-Bin Yeh, 葉永彬
• Other Authors: Chiang-Sheng Lee
• Format: Others
• Language: zh-TW
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/xs2s3c

碩士 === 國立臺灣科技大學 === 工業管理系 === 106 === The Economic Production Quantity (EPQ) model is an inventory model extended from the traditional Economic Order Quantity (EOQ) model. Many scholars had subsequently relaxed the original conditions for further analyses. This paper analyzes the inventory model with time-varying demand, and considers the power demand curve and backlogged shortage condition. The production rate is stochastically proportional to demand rate, while the random variable is subject to a uniform distribution of continuous type. In addition, the reorder point is stochastic, while the random variable is also subject to an uniform distribution of continuous type. Under above conditions, the optimal inventory policy is studied and an effective way is provided to obtain the best inventory cycle time, the best reorder point, and the minimum total cost per unit per unit time. This paper will also provide some numerical examples to illustrate the proposed inventory model, and analyze how the inventory cycle time, optimal reordering point, and the expected average total cost will be changed under the changes of certain parameter.