American Journal of Operations Research

Volume 2, Issue 2 (June 2012)

ISSN Print: 2160-8830   ISSN Online: 2160-8849

Google-based Impact Factor: 0.84  Citations  

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

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DOI: 10.4236/ajor.2012.22023    5,130 Downloads   8,054 Views  Citations
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ABSTRACT

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.

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J. Yue, "A New Proof for the Tight Range of Optimal Order Quantities for the Newsboy Problem with Mean and Standard Deviation," American Journal of Operations Research, Vol. 2 No. 2, 2012, pp. 203-206. doi: 10.4236/ajor.2012.22023.

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