A. Rodríguez Martínez, A. Bouchet, S. Montes

This work investigates the impact of uncertainty in the Linear Assignment Problem through an experimental comparison between the classical Jonker–Volgenant algorithm and an interval-based extension. While the classical approach assumes precise cost values, many real-world applications involve imprecise or variable data that cannot be adequately represented by single numerical values.

The study evaluates both methods under different uncertainty scenarios, including deterministic, low-variability, and high-variability settings, focusing on robustness, stability, and solution quality. The results indicate that the use of interval costs provides a more expressive representation of uncertainty, leading to more robust and informative assignment solutions.

These findings suggest that interval-based optimization constitutes a valuable alternative to deterministic approaches, particularly in decision-making contexts where data uncertainty plays a significant role.

Keywords: Linear Assignment Problem, Jonker–Volgenant algorithm, interval data, uncertainty, optimization, decision-making

Scheduled

Methods and Applications of IO I
September 4, 2026  3:30 PM
Aula 22


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