Title :
´Study on EOQ model in the fuzzy environment
Author :
Long, Zhang ; Shiji, Song ; Lianchen, Liu ; Cheng, Wu
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract :
To find the optimal reorder point and order quantity which minimize the total average cost, an EOQ model with fuzzy lead time was proposed. By analyzing the convexity of the objective function, the optimal solution was obtained for each α-cut of lead time with Kuhn-Tucher Conditions. Hence, the membership function of the optimal reorder point and order quantity were defuzzified into real number. Furthermore, examples were provided in which the lead time was characterized as a trapezoidal fuzzy number and the optimal reorder point and order quantity were resolved.
Keywords :
cost reduction; fuzzy set theory; inventory management; supply chain management; Kuhn-Tucher Conditions; convexity analysis; economic order quantity model; fuzzy environment; fuzzy lead time; fuzzy set theory; membership function; minimization; objective function; optimal reorder point; total average cost; trapezoidal fuzzy number; Automation; Cost function; Environmental economics; Lead time reduction; Probability distribution; Supply chain management; Technology management; Uncertainty;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1342096
