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Bilevel Optimization and Stackelberg Games

  • April 16, 2020
  • 2 replies
  • 293 views

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Hello everyone.

I have been looking to solve a train scheduling problem using bilevel optimization.
In this problem, two conflicting objectives are considered: the operator’s and the passengers’, having the passengers’ optimization problem nested inside the operator’s optimization problem (as a constraint). Is it possible to model this type of bilevel optimization problem? If not, are there other approaches using stackelberg games that can be considered?

Thank you very much.

2 replies

mohansx
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  • Former AIMMSian
  • 223 replies
  • April 21, 2020

@PedroRemedios , you could try modelling it as a multi-objective problem as discussed here: 

 

https://how-to.aimms.com/Articles/276/276-multi-objective-approach.html#multi-objective-approach


Andrew
  • Former AIMMSian
  • 50 replies
  • May 28, 2020

Hi @PedroRemedios 

Were you able to try Mohan’s suggestion of modeling it as a multi-objective problem?

Best



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