Linearization problem with three decision variables

GAMS
1

Dear GAMS-users,

I’m trying to formulate a linear problem with three decision variables, however somehow I am not getting it to work properly.
For example we have a production problem with three decision variables:

  • Quality of production inputs (Quality 1,2,3, etc.) - binary variable
  • Production technology (Technology 1,2,3, etc. producing product 1,2,3, etc.) - continuous variable
  • Transportation area (Area 1,2,3… etc.) - binary variable(?)

I have worked with models with two decision variables and linearized them with help from this site: https://www.leandro-coelho.com/linearization-product-variables/ but somehow I cannot seem to get this to work with three variables.
Does anyone have a clue how to solve these kind of problems while keeping them linear?

Kind regards,
GFA

2

Hello, do you need the product of three variables?
If so, you can linearizing the product of two binary variables (Quality of production and Transportation area); this generate a new binary variable (suppose QT).
Finally, you can linearizing the product of a binary and a continuous variable (QT and Production technology)

I hope this can help you.
Bye!