M. Sakawa et T. Mori, An efficient genetic algorithm for job-shop scheduling problems with fuzzyprocessing time and fuzzy duedate, COM IND ENG, 36(2), 1999, pp. 325-341
In this paper, by considering the imprecise or fuzzy nature of the data in
real-world problems, jobshop scheduling problems with fuzzy processing time
and fuzzy duedate are formulated and a genetic algorithm which is suitable
for solving the formulated problems is proposed. On the basis of the agree
ment index of fuzzy duedate and fuzzy completion time, the formulated fuzzy
job-shop scheduling problems are interpreted so as to maximize the minimum
agreement index. For solving the formulated fuzzy job-shop scheduling prob
lems, an efficient genetic algorithm is proposed by incorporating the conce
pt of similarity among individuals into the genetic algorithms using the Ga
nnt chart. As illustrative numerical examples, both 6 x 6 and 10 x 10 job-s
hop scheduling problems with fuzzy duedate and fuzzy processing time are co
nsidered. Through the comparative simulations with simulated annealing, the
feasibility and effectiveness of the proposed method are demonstrated. (C)
1999 Elsevier Science Ltd. All rights reserved.