A single-period inventory model with fuzzy demand

Chiang Kao, Wen Kai Hsu

研究成果: Article同行評審

126 引文 斯高帕斯(Scopus)


The single-period inventory models have wide applications in the real world in assisting the decision maker to determine the optimal quantity to order. Due to lack of historical data, the demand has to be subjectively determined in many cases. In this paper, a single-period inventory model for cases of fuzzy demand is constructed. The costs considered include the procurement cost, shortage cost, and holding cost. For different fuzzy total cost resulted from different order quantity, a method for ranking fuzzy numbers is adopted to find the optimal order quantity in terms of the cost. When the profit gained from selling one item is less (greater) than the loss incurred due to one unsold item, the optimal order quantity lies in the range defined for the left-shape (right-shape) function of the fuzzy demand. If the unit profit is equal to the unit loss, then all quantities with a membership grade 1 are optimal to be ordered. The methodology of this paper can be applied to construct other inventory models with fuzzy demand.

頁(從 - 到)841-848
期刊Computers and Mathematics with Applications
出版狀態Published - 2002

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 計算機理論與數學
  • 計算數學


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