Department of Industrial Engineering,Sharif University of Technology
Abstract
Abstract: In this paper, a fuzzy approach is applied to special classes of integer programming problems with all different constraints. In the first model, a fuzzy integer programming model is developed to represent the all-different constraints in mathematical programming. In order to solve the proposed model, a new branching scheme for the B&B algorithm is also presented. In the second model, a special class of large-scale multi-objective fuzzy integer programming problems with all-different constraints is introduced. A solution method for the proposed model is also developed by using the decomposition technique, weighting method and B&B algorithm. An illustrative numerical example is also given to clarify the theory and the method discussed in this paper.
Nematian,J and Eshghi,K . (2009). Special Classes of Fuzzy Integer Programming Models with All-different Constraints. (e3200). Scientia Iranica, 16(1), e3200
MLA
Nematian,J , and Eshghi,K . "Special Classes of Fuzzy Integer Programming Models with All-different Constraints" .e3200 , Scientia Iranica, 16, 1, 2009, e3200.
HARVARD
Nematian J, Eshghi K. (2009). 'Special Classes of Fuzzy Integer Programming Models with All-different Constraints', Scientia Iranica, 16(1), e3200.
CHICAGO
J Nematian and K Eshghi, "Special Classes of Fuzzy Integer Programming Models with All-different Constraints," Scientia Iranica, 16 1 (2009): e3200,
VANCOUVER
Nematian J, Eshghi K. Special Classes of Fuzzy Integer Programming Models with All-different Constraints. Scientia Iranica. 2009;16(1):e3200.