minimum completion time

Problems with modeling
Post Reply
BurakTopcu
User
User
Posts: 1
Joined: 6 years ago

minimum completion time

Post by BurakTopcu »

Hi,
I need your help for my model about scheduling a flexible manufacturing system.
Actually the objective function is minimizing the completion time of the maximum completion time of job i at the last machine m.
As you see the job index is (i) and job index is (j)… the number of jobs is n and number of machines is m.
The objective function is shown as following…

Image

Here H(i,j) is the completion time of job i at machine j. and H(i,m) corresponds the completion time i.th job at last machine…
In the following example as you see H(i,m) is H(2,2)…

Image

How can I write this objection function with GAMS language?
Thank you very much
Best Regards…
Post Reply