Applications

Milan Hladík
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Milan Hladík: Charles University

Chapter Chapter 12 in Interval Linear Programming and Extensions, 2025, pp 271-373 from Springer

Abstract: Abstract No doubt, linear programming is used in many areas. Therefore, it is not surprising that interval linear programming can be applied to solving various interval-valued problems. We will particularly focus on game theory, multi-criteria decision-making, linear regression, and robust optimization. Nevertheless, it turns out that interval methods can also be utilized for real-valued problems. We will illustrate this by verification techniques (numerical proofs of optimality), tolerance approach to sensitivity analysis, or the construction of an LP condition number.

Date: 2025
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DOI: 10.1007/978-3-031-85096-7_12

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