Production time optimization model
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I have a problem where I have 2 different types of raw-material. These materials can be processed in two different production-lines which take different amount of time, depending on raw material. After the production lines, I have a worker that needs around 5 minutes to pack the finished product. He can only process one finished product at a time, and there is no place for a queue. I'm looking for a model that can decide at which times I need to put the raw material into the process-line to that the worker gets a finished product every 5 minutes.
I'm looking for a finished or similar optimization models. Does anyone recognize this problem and can supply me with an model, or can you maybe recommend me some papers.
Thank you!
optimization mathematical-modeling numerical-optimization discrete-optimization
asked Nov 16 at 16:03
Ulrich_Peters
61
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show 1 more comment
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I have a problem where I have 2 different types of raw-material. These materials can be processed in two different production-lines which take different amount of time, depending on raw material. After the production lines, I have a worker that needs around 5 minutes to pack the finished product. He can only process one finished product at a time, and there is no place for a queue. I'm looking for a model that can decide at which times I need to put the raw material into the process-line to that the worker gets a finished product every 5 minutes.
I'm looking for a finished or similar optimization models. Does anyone recognize this problem and can supply me with an model, or can you maybe recommend me some papers.
Thank you!
optimization mathematical-modeling numerical-optimization discrete-optimization
asked Nov 16 at 16:03
Ulrich_Peters
61
1
How long does it take each product to go through its production line?
– Jens
Nov 16 at 16:07
1
Is there a separate line for each type of raw material, or can each line handle both materials?
– saulspatz
Nov 16 at 16:13
The production-line is slow, the process takes somewhere between 20-60 minutes. Each line can handle both materials!
– Ulrich_Peters
Nov 16 at 20:36
The original problem is rather big and I have made a few simplifications in the first post.
– Ulrich_Peters
Nov 16 at 20:43
1
Use @Username to notify people that you have answered their comment, otherwise they won't know. When you say the process takes between 20-60 minutes, does that mean it can vary that much for a given material on a given line? Or do you know exactly how long it takes for each material on each line?
– Jens
Nov 17 at 12:56
|
show 1 more comment
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have a problem where I have 2 different types of raw-material. These materials can be processed in two different production-lines which take different amount of time, depending on raw material. After the production lines, I have a worker that needs around 5 minutes to pack the finished product. He can only process one finished product at a time, and there is no place for a queue. I'm looking for a model that can decide at which times I need to put the raw material into the process-line to that the worker gets a finished product every 5 minutes.
I'm looking for a finished or similar optimization models. Does anyone recognize this problem and can supply me with an model, or can you maybe recommend me some papers.
Thank you!
optimization mathematical-modeling numerical-optimization discrete-optimization
asked Nov 16 at 16:03
Ulrich_Peters
61
I have a problem where I have 2 different types of raw-material. These materials can be processed in two different production-lines which take different amount of time, depending on raw material. After the production lines, I have a worker that needs around 5 minutes to pack the finished product. He can only process one finished product at a time, and there is no place for a queue. I'm looking for a model that can decide at which times I need to put the raw material into the process-line to that the worker gets a finished product every 5 minutes.
I'm looking for a finished or similar optimization models. Does anyone recognize this problem and can supply me with an model, or can you maybe recommend me some papers.
Thank you!
optimization mathematical-modeling numerical-optimization discrete-optimization
optimization mathematical-modeling numerical-optimization discrete-optimization
asked Nov 16 at 16:03
Ulrich_Peters
61
asked Nov 16 at 16:03
Ulrich_Peters
61
asked Nov 16 at 16:03
Ulrich_Peters
61
asked Nov 16 at 16:03
Ulrich_Peters
61
asked Nov 16 at 16:03
Ulrich_Peters
61
61
1
How long does it take each product to go through its production line?
– Jens
Nov 16 at 16:07
1
Is there a separate line for each type of raw material, or can each line handle both materials?
– saulspatz
Nov 16 at 16:13
The production-line is slow, the process takes somewhere between 20-60 minutes. Each line can handle both materials!
– Ulrich_Peters
Nov 16 at 20:36
The original problem is rather big and I have made a few simplifications in the first post.
– Ulrich_Peters
Nov 16 at 20:43
1
Use @Username to notify people that you have answered their comment, otherwise they won't know. When you say the process takes between 20-60 minutes, does that mean it can vary that much for a given material on a given line? Or do you know exactly how long it takes for each material on each line?
– Jens
Nov 17 at 12:56
|
show 1 more comment
1
How long does it take each product to go through its production line?
– Jens
Nov 16 at 16:07
1
Is there a separate line for each type of raw material, or can each line handle both materials?
– saulspatz
Nov 16 at 16:13
The production-line is slow, the process takes somewhere between 20-60 minutes. Each line can handle both materials!
– Ulrich_Peters
Nov 16 at 20:36
The original problem is rather big and I have made a few simplifications in the first post.
– Ulrich_Peters
Nov 16 at 20:43
1
Use @Username to notify people that you have answered their comment, otherwise they won't know. When you say the process takes between 20-60 minutes, does that mean it can vary that much for a given material on a given line? Or do you know exactly how long it takes for each material on each line?
– Jens
Nov 17 at 12:56
1
1
How long does it take each product to go through its production line?
– Jens
Nov 16 at 16:07
How long does it take each product to go through its production line?
– Jens
Nov 16 at 16:07
1
1
Is there a separate line for each type of raw material, or can each line handle both materials?
– saulspatz
Nov 16 at 16:13
Is there a separate line for each type of raw material, or can each line handle both materials?
– saulspatz
Nov 16 at 16:13
The production-line is slow, the process takes somewhere between 20-60 minutes. Each line can handle both materials!
– Ulrich_Peters
Nov 16 at 20:36
The production-line is slow, the process takes somewhere between 20-60 minutes. Each line can handle both materials!
– Ulrich_Peters
Nov 16 at 20:36
The original problem is rather big and I have made a few simplifications in the first post.
– Ulrich_Peters
Nov 16 at 20:43
The original problem is rather big and I have made a few simplifications in the first post.
– Ulrich_Peters
Nov 16 at 20:43
1
1
Use @Username to notify people that you have answered their comment, otherwise they won't know. When you say the process takes between 20-60 minutes, does that mean it can vary that much for a given material on a given line? Or do you know exactly how long it takes for each material on each line?
– Jens
Nov 17 at 12:56
Use @Username to notify people that you have answered their comment, otherwise they won't know. When you say the process takes between 20-60 minutes, does that mean it can vary that much for a given material on a given line? Or do you know exactly how long it takes for each material on each line?
– Jens
Nov 17 at 12:56
|
show 1 more comment
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1
How long does it take each product to go through its production line?
– Jens
Nov 16 at 16:07
1
Is there a separate line for each type of raw material, or can each line handle both materials?
– saulspatz
Nov 16 at 16:13
The production-line is slow, the process takes somewhere between 20-60 minutes. Each line can handle both materials!
– Ulrich_Peters
Nov 16 at 20:36
The original problem is rather big and I have made a few simplifications in the first post.
– Ulrich_Peters
Nov 16 at 20:43
1
Use @Username to notify people that you have answered their comment, otherwise they won't know. When you say the process takes between 20-60 minutes, does that mean it can vary that much for a given material on a given line? Or do you know exactly how long it takes for each material on each line?
– Jens
Nov 17 at 12:56