A New Proof for the Tight Range of Optimal Order Quantities for the Newsboy Problem with Mean and Standard Deviation

• 作者: Jinfeng Yue
• 来源期刊: 美国运筹学期刊(英文)
• 学科: 数学
• 关键词: Newsboy Problem DISTRIBUTION-FREE Approach Optimal DECISION
• 年，卷（期）: 2012,（2）
• 页码范围: 203-206
• 页数: 4页
• 分类号: O1

摘要

In the classical Newsboy problem, we provide a new proof for the tight range of optimal order quantities for the newsboy problem when only the mean and standard deviation of demand are available. The new proof is only based on the definition of the optimal solution therefore it is the most straightforward method. It is also shown that the classical Scarf’s rule is the mid-point of the range of optimal order quantities. This provides an additional understanding of Scarf’s order rule as a distribution free decision.