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A scenario‐based stochastic programming model for the control or dummy wafers downgrading problem
Author(s) -
Chung ShuHsing,
Yang YiShu
Publication year - 2008
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.748
Subject(s) - stochastic programming , flexibility (engineering) , mathematical optimization , computer science , set (abstract data type) , control (management) , stochastic modelling , geometric programming , wafer , linear programming , operations research , mathematics , engineering , statistics , artificial intelligence , electrical engineering , programming language
The subject of this paper is to study a realistic planning environment in wafer fabrication for the control or dummy (C/D) wafers problem with uncertain demand. The demand of each product is assumed with a geometric Brownian motion and approximated by a finite discrete set of scenarios. A two‐stage stochastic programming model is developed based on scenarios and solved by a deterministic equivalent large linear programming model. The model explicitly considers the objective to minimize the total cost of C/D wafers. A real‐world example is given to illustrate the practicality of a stochastic approach. The results are better in comparison with deterministic linear programming by using expectation instead of stochastic demands. The model improved the performance of control and dummy wafers management and the flexibility of determining the downgrading policy. Copyright © 2008 John Wiley & Sons, Ltd.