6 votes

Minimizing cost of transportation and storage of items

I would approach this as a mixed integer linear programming (MILP) problem. There are a number of MILP solvers, some open source, some commercial (with some of the commercial solvers providing free ...
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5 votes
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Minimizing cost of transportation and storage of items

I won't write a python solution as i am not familiar with any python modeling language but i can describe the approach i took in the past to solve problems like this. I would solve this problem using ...
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5 votes
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Assembly line balancing: What does machine precedence mean?

The machines are in sequence, not in parallel. Consider a same product which requires a number of tasks to be built. Some of these tasks have precedence constraints. If there are $m$ stations (...
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5 votes
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Why are these constraint equations equal?

The two sets of constraints are not the same, but both sets provide a formulation for the problem. The relationship between the two is that if you take a solution to (2.1) and (2.2), compute $z_t=\...
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5 votes
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Enforce Changeover Constraints in Production Scheduling

If you let $x_{ij} $ be a binary variable equalling 1 iff job $i$ comes just before job $j$, and continuous variables $u_i$ be the start time of job $i$, then you may model your constraints using MTZ ...
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2 votes

Assembly line balancing: What does machine precedence mean?

Besides the useful answer of @fontanf, let's say: If you wanted to try solving the line balancing problem for the first time, I strongly recommended you read some basic concepts and fundamentals of ...
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1 vote

Enforce Changeover Constraints in Production Scheduling

I was able to modify @Sune response slightly to get the intended effect. For every pair of jobs (a,b) in the set of jobs, define constraints: ...
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1 vote

Minimizing cost of transportation and storage of items

Depending on what your decision variables are you are looking at an integer, mixed integer, or mixed integer linear programming problem. It seems to me that you want to solve it using a Python model. ...
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1 vote
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Relation between order quantity and average cycle stock

So as a formal answer: your $Q$ is $600$ as the average cycle stock is in pieces. So $$average\space cycle\space stock = 300 = \frac{Q}{2} \implies Q = 300 \times 2 = 600 $$ The total average cycle ...
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