Wednesday 17 February 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 89-413
Full Name: Yuan-shyi peter Chiu
Position: Professor
Age: ON
Sex: Male
Address: Department of Industrial Engineering and Management, Chaoyang University of Technology, Wufeng, Taichung 412
Country: TAIWAN
Tel: +886 4-2487-4608
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E-mail address: ypchiu@cyut.edu.tw
Other E-mails: ypchiu@mail.cyut.edu.tw,djk@cyut.edu.tw
Title of the Paper: Producer's Replenishment Policy for an EPQ Model with Rework and Machine Failure Taking Place in Backorder Reloading Time
Authors as they appear in the Paper: Kuang-ku Chen, Yuan-shyi peter Chiu, Chia-kuan Ting
Email addresses of all the authors: djk@mail.cyut.edu.tw,ypchiu@cyut.edu.tw,djk@cyut.edu.tw
Number of paper pages: 11
Abstract: This paper studies the optimal producer's replenishment policy for an economic production quantity (EPQ) model with rework and breakdown taking place in backorder replenishing time. A recent published article has studied the lot-sizing problem on an imperfect quality EPQ model. However, another reliability factor - random machine breakdown is inevitable in most real-life production systems. To deal with stochastic machine failures, production planners must practically calculate the mean time between failures (MTBF) and establish the robust plan accordingly, in terms of the optimal production run time that minimizes total production-inventory costs for such an unreliable system. This study extends Chiu¡¦s work and assumes that a machine failure takes place in the backorder replenishing stage. Mathematical modeling and cost analysis are employed. The renewal reward theorem is used to cope with variable cycle length. Convexity of the long-run average cost function is !
proved and an optimal manufacturing lot-size that minimizes the expected overall costs for such an imperfect system is derived. Numerical example is provided to demonstrate its practical usages.
Keywords: Optimization, Lot size, Breakdown, Backorder, Production run time, Rework, Inventory
EXTENSION of the file: .doc
Special (Invited) Session: Production Systems with Rework and Machine Failure Taking Place in Backorder Filling Time
Organizer of the Session: 629-108
How Did you learn about congress: Prof. Gary C. Lin. Prof., Dept. of Industrial & Manufacturing Engineering & Technology, Bradley University, IL USA, Email: clin@bradley.edu; Prof. Kung-Jeng Wang, Department of Industrial Management, National Taiwan University of Science and Technology, Email: kjWang@mail.ntust.edu.tw
IP ADDRESS: 122.118.76.68