Fuzzy economic production for production inventory

✍ Scribed by Der-Chen Lin; Jing-Shing Yao

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 237 KB
• Volume: 111
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00037-2

✦ Synopsis

A production cycle is deÿned using both production and sale, for which to a certain point the production stops until all inventories are sold out. For the planning period of T days, the function of total cost is F(q) where q represents the production quantity of each cycle. The best production quantity in the Crisp sense is q * . Fuzziÿcation of q changes to fuzzy number Q; then, how to determine the best production quantity in the light of Q is the subject of this paper.

Suppose the membership function of Q is a trapezoidal fuzzy number set (q 1; q2; q3; q4) satisfying the condition of 0¡q1¡q2¡q3¡q4, the membership function of fuzzy cost F( Q) is F( Q) (z), and its centroid, which is thought to be the estimated total cost and minimum for the condition of 0¡q * 1 ¡q * 2 ¡q * 3 ¡q * 4 . From trapezoidal fuzzy number set (q * 1 ; q * 2 ; q * 3 ; q * 4 ), ÿnd out its centroid as the best production quantity.