Complexity of necessary efficiency in interval linear programming and multiobjective linear programming

@article{Hladk2012ComplexityON,
  title={Complexity of necessary efficiency in interval linear programming and multiobjective linear programming},
  author={Milan Hlad{\'i}k},
  journal={Optimization Letters},
  year={2012},
  volume={6},
  pages={893-899}
}
  • M. Hladík
  • Published 1 June 2012
  • Mathematics
  • Optimization Letters
We present some complexity results on checking necessary efficiency in interval multiobjective linear programming. Supposing that objective function coefficients perturb within prescribed intervals, a feasible point x* is called necessarily efficient if it is efficient for all instances of interval data. We show that the problem of checking necessary efficiency is co-NP-complete even for the case of only one objective. Provided that x* is a non-degenerate basic solution, the problem is… 

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