# 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} }

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…

## 31 Citations

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