Optimal production run length in deteriorating production processes with fuzzy elapsed time

Authors:
Xiaobin Wang;Wansheng Tang
Affiliations:
School of Computer and Information Engineering, Shandong University of Finance, No. 40, Shungeng Road, Ji'nan 250014, China;Institute of Systems Engineering, Tianjin University, Tianjin 300072, China
Venue:
Computers and Industrial Engineering
Year:
2009

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Abstract

This paper investigates the optimal production run length in deteriorating production processes, where the elapsed time until the production process shifts is characterized as a fuzzy variable, also the setup cost and the holding cost are characterized as fuzzy variables, respectively. A mathematical formula representing the expected average cost per unit time is derived, and some properties are obtained to establish an efficient solution procedure. Since there is no closed-form expression for the optimal production run length, an approximate solving approach is presented. Finally, two numerical examples are given to illustrate the procedure of searching the optimal solutions.