How to Set Constraints for Multiple Dimensions in R

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Kat K

2022年03月16日 16:51 編集済み

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Hello! I'm using Gurobi in R and I'm struggling to figure out how to define a constraint that spans multiple dimensions - i.e., rather than the sum of one column has to be x and the sum of one column has to be y, I need the sum of one of my columns to be x and the sum of two of my columns to be y. 

Basically, say I'm selecting 10 people for a city committee. I have a list of 50 people that lists their areas of expertise (e.g., art, science, history, architecture) as binary columns of yes/no. Rather than constrain my model to pick say, 5 people that are experts in say, art specifically, I want it to have at least 5 people in the solution that are experts in the same area (could be art, science, whatever), and at least 3 people that are experts in the same area twice (e.g., 3 people who are experts in science, and 3 people who are experts in history). 

Please let me know if I can make that clearer but basically I don't get how to make a constraint that depends on multiple columns but could be any combination! Thanks in advance - I'm new to Gurobi so any help with coding this into Gurobi/pseudocode would be great!

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  Simranjit Kaur

  • Gurobi Staff

  2025年11月16日 23:41

  This post is more than three years old. Some information may not be up to date. For current information, please check the Gurobi Documentation or Knowledge Base. If you need more help, please create a new post in the community forum, or try Gurobot, our chatbot interface offering instant, expert-level support.
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  Jaromił Najman

  • Gurobi Staff

  2022年03月16日 08:37

  Hi Kat,

  In R, you cannot define constraints one by one but rather have to provide the whole linear matrix \(A\). I am not familiar with R so I cannot really help with a cope snippet but maybe the diet.R examples provides some insight of how sums are constructed in the R API.

  Best regards, 
  Jaromił

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