I have been wondering is there any paper that who discuss multi commodity with four index/indices like this formulation below: $$ \begin{gathered} \sum_{k} \sum_{c} F_{j, j, c, k}=1 \quad \forall j \\ \sum_{i} F_{i, j, c, k}=\sum_{i} F_{j, i, c, k} \quad \forall c, j, k \\ \sum_{i, j, c, k} F_{i, j, c, k}=q_{i} \quad \forall i \\ \sum_{i, j, c, k} F_{i, j, c, k} \leq Q * x_{i, j, k} \quad \forall i, j, c, k \end{gathered} $$

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    $\begingroup$ What are the different variables/parameters/sets in your model? $\endgroup$ Commented Jul 28, 2022 at 16:53
  • $\begingroup$ @JorisKinable what do you mean? $\endgroup$
    – overboxed
    Commented Jul 29, 2022 at 1:27


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