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. Scientia Iranica, 16(1), -.
MLA
Nematian, J. , and Eshghi, K. . "Special Classes of Fuzzy Integer Programming Models with All-different Constraints", Scientia Iranica, 16, 1, 2009, -.
HARVARD
Nematian, J., Eshghi, K. (2009). 'Special Classes of Fuzzy Integer Programming Models with All-different Constraints', Scientia Iranica, 16(1), pp. -.
CHICAGO
J. Nematian and K. Eshghi, "Special Classes of Fuzzy Integer Programming Models with All-different Constraints," Scientia Iranica, 16 1 (2009): -,
VANCOUVER
Nematian, J., Eshghi, K. Special Classes of Fuzzy Integer Programming Models with All-different Constraints. Scientia Iranica, 2009; 16(1): -.