Commodity Purchasing

 

作者: KingsmanB. G.,  

 

期刊: Journal of the Operational Research Society  (Taylor Available online 1969)
卷期: Volume 20, issue 1  

页码: 59-79

 

ISSN:0160-5682

 

年代: 1969

 

DOI:10.1057/jors.1969.29

 

出版商: Taylor&Francis

 

数据来源: Taylor

 

摘要:

AbstractQuantitative methods are derived to assist buyers purchasing commodities in fluctuating price markets. Demand is known whilst price is a stochastic variable which may contain trends or seasonal fluctuations. The essential feature of the problem is that the buyer has many opportunities to make a purchase.Mathematical models are formulated to describe particular commodity buying problems. The optimal purchasing policy is derived by using dynamic programming. It consists of a set of discrete price breaks at each buying opportunity together with the associated stock levels the buyer should aim to achieve at each price break with his purchase at this opportunity. The price breaks are dependent on the probability density functions of future prices and the number of future buying opportunities. Recurrence relations are derived to calculate these price breaks. The case of restrictions on the purchase quantity at each price offer, either because of supply limitations or by the buyer as a policy decision, and price discounts are also considered.A case study illustrating the techniques is given and the methods are extended to purchasing for a blending problem with substitutable commodities.

 

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