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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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
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Abstract	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.
AbstractList	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.
Author	Rabbani, Masoud Radmehr, Farzad Javadi, Babak Manavizadeh, Neda Jolai, Fariborz
Author_xml	– sequence: 1 givenname: Masoud surname: Rabbani fullname: Rabbani, Masoud email: mrabani@ut.ac.ir organization: Department of Industrial Engineering, College of Engineering, University of Tehran – sequence: 2 givenname: Fariborz surname: Jolai fullname: Jolai, Fariborz organization: Department of Industrial Engineering, College of Engineering, University of Tehran – sequence: 3 givenname: Neda surname: Manavizadeh fullname: Manavizadeh, Neda organization: Department of Industrial Engineering, College of Engineering, University of Tehran – sequence: 4 givenname: Farzad surname: Radmehr fullname: Radmehr, Farzad organization: Department of Industrial Engineering, College of Engineering, University of Tehran – sequence: 5 givenname: Babak surname: Javadi fullname: Javadi, Babak organization: Department of Industrial Engineering, College of Engineering, University of Tehran
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Snippet	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...
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SubjectTerms	CAE) and Design Computer-Aided Engineering (CAD Engineering Industrial and Production Engineering Linear programming Manufacturing cells Mathematical analysis Mechanical Engineering Media Management Original Article
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Title	Solving a bi-objective cell formation problem with stochastic production quantities by a two-phase fuzzy linear programming approach
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