M. Sakawa et al., Efficiency of decomposition method for structured multiobjective linear programming problems with fuzzy numbers, CYBERN SYST, 30(6), 1999, pp. 551-570
In this paper, we focus on multiobjective linear programming problems invol
ving fuzzy numbers with the block angular structure and examine the efficie
ncy of the Dantzig-Wolfe decomposition method in the interactive fuzzy sati
sficing method proposed by the authors. After overviewing the interactive f
uzzy satisficing method, thrice objective linear programming problems with
15 coupling constraints are considered. Through many computational experime
nts on numerical examples with both 50 and 200 variables, the advantages of
the Dantzig-Wolfe decomposition method over the revised simplex method are
discussed with respect to processing time and required memory storage.