Timeline for How to construct the linear programing representation of a blending problem?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jan 1, 2022 at 22:04 | comment | added | PeterD | The constraint simply assures that your input of A and B is enough, given a certain amount of Gasoline and/or Natpha that you want to produce. You can still produce both at the same plant. Try to implement the model model in a solver and see what happens. | |
| Dec 31, 2021 at 16:12 | comment | added | ergch24 | Hi @Pedrinho, correct me if I´m wrong, but I think restriction 3 does not take into account that the coefficients of inputs for crude A and crude B, that are blended in a giving plant will produce jointly 2 outputs Gasoline and Naphtha. I believe that at the moment the constraint will let the linear program produce either Gasoline or Naphtha from a giving plant. What do yo think? | |
| Dec 30, 2021 at 5:34 | vote | accept | ergch24 | ||
| Dec 31, 2021 at 4:38 | |||||
| Dec 30, 2021 at 5:08 | vote | accept | ergch24 | ||
| Dec 30, 2021 at 5:19 | |||||
| Dec 30, 2021 at 4:14 | comment | added | ergch24 | Thank you @Pedrinho, now is more clear how to deal with restrictions for blending problems. It's clear to me that $ic_{ij}$ is the input coefficient for the crude type $i \in I$ required for the plant $j \in J$ and $oc_{jk}$ is the output coefficient of plant $j \in J$ for Products type $k \in K$, but could you please elaborate more about how to establish the set of values for the parameters $ic_{ij}$ and $oc_{jk}$ in the model? and I'm not sure how that constraint ensures that plant 1 requires batches of $3*x_{A1}$ & $5*x_{B1}$ to produces $4*y_{G1}$ and $3*y_{N1}$. | |
| Dec 25, 2021 at 17:03 | history | edited | PeterD | CC BY-SA 4.0 |
edited body
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| Dec 24, 2021 at 13:18 | history | edited | PeterD | CC BY-SA 4.0 |
added 331 characters in body
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| Dec 24, 2021 at 12:16 | history | answered | PeterD | CC BY-SA 4.0 |