Solving a bi-objective cell formation problem with stochastic production quantities by a two-phase fuzzy linear programming approach

We propose a bi-objective cell formation problem with demand of products expressed in a number of probabilistic scenarios. To deal with the uncertain demand of products, a framework of two-stage stochastic programming model is presented. The proposed model considers minimizing the sum of the miscell...

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Bibliographic Details
Published in:International journal of advanced manufacturing technology Vol. 58; no. 5-8; pp. 709 - 722
Main Authors: Rabbani, Masoud, Jolai, Fariborz, Manavizadeh, Neda, Radmehr, Farzad, Javadi, Babak
Format: Journal Article
Language:English
Published: London Springer-Verlag 01.01.2012
Springer Nature B.V
Subjects:
CAE) and Design
Computer-Aided Engineering (CAD
Engineering
Industrial and Production Engineering
Linear programming
Manufacturing cells
Mathematical analysis
Mechanical Engineering
Media Management
Original Article
Cell formation problem
Fuzzy linear programming
Cellular manufacturing design
Multi-objective
Stochastic programming model
ISSN:0268-3768, 1433-3015
Online Access:Get full text
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Summary:We propose a bi-objective cell formation problem with demand of products expressed in a number of probabilistic scenarios. To deal with the uncertain demand of products, a framework of two-stage stochastic programming model is presented. The proposed model considers minimizing the sum of the miscellaneous costs (machine constant cost, expected machine variable cost, cell fixed-charge cost, and expected intercell movement cost) and expected total cell loading variation. Because of conflicting objectives, we develop a two-phase fuzzy linear programming approach for solving bi-objective cell formation problem. To show the effectiveness of the proposed approach, numerical examples are solved and the results are compared with the two existing approaches in the literature. The computational results show that the proposed fuzzy method achieves lower objective functions as well as higher satisfaction degrees.
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ISSN:0268-3768
1433-3015
DOI:10.1007/s00170-011-3413-4