A new approach for solving flow shop scheduling problems with generalized intuitionistic fuzzy numbers

2019 ◽  
Vol 37 (3) ◽  
pp. 4287-4297 ◽  
Author(s):  
T. Yogashanthi ◽  
S. Mohanaselvi ◽  
K. Ganesan
Author(s):  
PENG-JEN LAI ◽  
HSIEN-CHUNG WU

The flow shop scheduling problems with fuzzy processing times are investigated in this paper. For some special kinds of fuzzy numbers, the analytic formulas of the fuzzy compltion time can be obtained. For the general bell-shaped fuzzy numbers, we present a computational procedure to obtain the approximated membership function of the fuzzy completion time. We define a defuzzification function to rank the fuzzy numbers. Under this ranking concept among fuzzy numbers, we plan to minimize the fuzzy makespan and total weighted fuzzy completion time. Because the ant colony algorithm has been successfully used to solve the scheduling problems with real-valued processing times, we shall also apply the ant colony algorithm to search for the best schedules when the processing times are assumed as fuzzy numbers. Numerical examples are also provided and solved by using the commercial software MATLAB.


Author(s):  
Harendra Kumar ◽  
Shailendra Giri

This paper considers a flow shop scheduling problems of n jobs on m machines involving processing times and weights of jobs with the major constraint as breakdown times of the machines. In this paper a new procedure is provided to obtain an optimal job sequence with the objective of minimize the makespan and mean weighted flow time by using neural network technique. To illustrate the proposed method procedure, a numerical example is given. The effectiveness of the proposed method is compared with many problems which are taken from different papers. This paper also provides a comparison of our proposed method with the existing methods in literature.


4OR ◽  
2006 ◽  
Vol 4 (1) ◽  
pp. 15-28 ◽  
Author(s):  
Jean-Louis Bouquard ◽  
Christophe Lenté

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