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Some points should be considered. First, you defined the variable $FlowInternal_{j}$ as the slack variables on the constraints $C_2$ and $C_3$ but, forgot to limit it on the objective function. (For …

I think the appropriate way to do this is what was proposed by Prof. Rubin, but if you want to use a mathematical approach, the following formulation would be helpful. \begin{eqnarray} \text{Max/Min} …

It seems you would need to tweak the mentioned model to be close to the standard Multi item-Multi period lot-sizing problem. The following formulation can give you some good starting points. \begin{ar …

I was trying to read a MPS file by using the PuLP package in the Python, but I can't find any related documents on it. Does anybody know, is there any way to read an LP/MPS file on the PuLP? …

One of the best possible ways for the models with some difficulties to understand how the model can be treating in the solving process, specifically in the situations like infeasibility, comparing som …

I assumed that the mode indicator is a variable otherwise, what you are looking for can be applied by a simple if-then loop on the constraints. To define the first row of your logical expression, it i …

I assumed that your variables are $X_{w}$, $X_{s}$, $X_{e}$, and $p_{t}$. Then as @RobPratt suggested, we can use two separate disjuncts. $$ W_t X_w+S_t X_s - 0.1 X_e \geq m(1-z_t) \quad (1)$$ $$ p_t …