I want to model a production line.
The objective function is to minimize production time in the production line which will be feasible via workers collaboration.
Each production line have several workstations which are placed in sequence and one feature of this production line is that the product should be finished in each workstation to be transferable to the next workstation. It means the amount of work in the first workstation should be 100% and then production in the second workstation could be started otherwise the production rate in the second workstation would be zero. The same holds true for the relation between production in station two and three. The production in the second station should be finished afterward the production in the third station could be started. Otherwise the production rate of the third workstation is equal to zero.
I want to know if there is any specific trick in linear programming to solve this issue. Also, is there somebody who knows how to model this issue in AIMMS?
If you know any similar example please send it to me.
Thank you for your comments,
Dear Araz,
I suggest for you a links and attached files in topics.
-AIMMS: Advanced Analytics, Prescriptive Analytics, Supply Chain ...
https://aimms.com/
-constraint - Google Groups
https://groups.google.com/d/topic/aimms/Rub7UZ936MI
- Immuno Electron Microscopy - Sophisticated Advanced Instrument ...
www.saifaiims.com/description.php?pid=15
Best regards
check this thesis, it has several models for sequential production lines:
http://dspace.knust.edu.gh/bitstream/123456789/5353/1/Isaac%20Addy.pdf
I hope you will find it useful.
What you can do - or not do - depends largely on several set-ups, like those of the machines, how resources are handled around the machines,vthe requirements on quality, time constraints, and so on. I was the main supervisor of Karin Thörnblad, who worked with GKN Aerospace on high-tolerance products, using flexible workshop models. Look up her publications for some samples of real cases.
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