Blended Multi-Objective functions & Combining Blended and Hierarchical Objectives

Answered

John Chu

March 17, 2023 03:01

• 
• 
• 

Can you provide me with some example codes that implement the following objectives in Python Gurobi?

• Blended Multi-Objective
• Combining Blended and Hierarchical Objectives

I want to see some detailed examples from the instructions provided as follows. https://www.gurobi.com/documentation/9.5/refman/working_with_multiple_obje.html 

Related to

• Multiple Objectives

0

• Official comment

  

  Simranjit Kaur

  • Gurobi Staff

  November 13, 2026 01:47

  This post is more than two 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.
• 

  Maliheh Aramon

  • Gurobi Staff

  March 17, 2023 05:50

  Hi John, 

  Please check the multobj.py example that implements a set covering problem with four different objectives. The problem is an example of combining hierarchical and blended approaches to optimize various objectives. 

  Please have a look and then let us know if you have any followup questions. 

  Best regards,

  Maliheh

  0
• 

  John Chu

  March 17, 2023 15:12

  • 
  • 
  • 

  Thank you so much for your answer. Based on this example, may I ask you what is the difference between implementation of strict hierarchical model and this one which is implementing "Combining hierarchical and blended model?"

  0
• 

  Riley Clement

  • Gurobi Staff

  March 24, 2023 01:24

  Hi John,
  
  Say you had objectives X, Y and Z.  Then, by example:
  
  Heirarchical:
  Optimize X, then Y, then Z
  
  Blended:
  Optimize aX + bY + cZ (for scalars a,b,c)
  
  Heirarchical + Blended
  Optimize aX + bY, then Z
  
  - Riley

  0

Post is closed for comments.