Solving Fuzzy U-Shaped Line Balancing Problem with Exact Method
The basic U-shaped line balancing problem (ULBP) model usually needs to be extended in order to solve real-world line balancing problems. Most of the models for line balancing problem reported in the literature assume constant and deterministic operation times. In this paper, the U-shaped line balancing problem with fuzzy operation times is studied. First, the integer programming formulation of fuzzy ULBP is constructed. The tasks operation times are formulated by triangular fuzzy membership functions. Then the fuzzy ULBP is solved by using the software of Lingo 9.0 extended version. An illustrative example is followed to demonstrate the validity of the proposed models.
Zhenyu Du and Bin Liu
Z. Q. Zhang and W. M. Cheng, "Solving Fuzzy U-Shaped Line Balancing Problem with Exact Method", Applied Mechanics and Materials, Vols. 26-28, pp. 1046-1051, 2010