Optimization Letters

, Volume 13, Issue 2, pp 281–294 | Cite as

Inverse optimization for multi-objective linear programming

  • Mostafa NaghaviEmail author
  • Ali Asghar Foroughi
  • Masoud Zarepisheh
Original paper


This paper generalizes inverse optimization for multi-objective linear programming where we are looking for the least problem modifications to make a given feasible solution a weak efficient solution. This is a natural extension of inverse optimization for single-objective linear programming with regular “optimality” replaced by the “Pareto optimality”. This extension, however, leads to a non-convex optimization problem. We prove some special characteristics of the problem, allowing us to solve the non-convex problem by solving a series of convex problems.


Multi-objective linear programming Linear programming Inverse optimization Efficiency 



This work was partially supported by the MSK Cancer Center Support Grant/Core Grant (P30 CA008748).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of QomQomIran
  2. 2.Department of Medical PhysicsMemorial Sloan Kettering Cancer CenterNew YorkUSA

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