A Comparison Index for Costs of Interval Linear Programming Models

Interval Linear Programming (ILP) presents several compelling challenges when applied to real-world problems that cannot be easily captured by traditional robust uncertainty models. In this paper, we propose a novel solution method that employs a comparison index for interval ordering based on the generalized Hukuhara difference. This approach proves to be highly effective in comparing solutions within ILP frameworks. Additionally, we discuss the robustness of the proposed methodology and its implications for decision-making under uncertainty.

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Publication Details

Journal
Axioms
Published
2025-07-24
DOI
https://doi.org/10.3390/axioms14080569
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
0.00

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article

A Comparison Index for Costs of Interval Linear Programming Models

Laerte Sorini, Maria Letizia Guerra, Luciano Stefanini
Axioms
Optimization and Mathematical Programming
article

A Comparison Index for Costs of Interval Linear Programming Models

Laerte Sorini, Maria Letizia Guerra, Luciano Stefanini
article en

Abstract

Interval Linear Programming (ILP) presents several compelling challenges when applied to real-world problems that cannot be easily captured by traditional robust uncertainty models. In this paper, we propose a novel solution method that employs a comparison index for interval ordering based on the generalized Hukuhara difference. This approach proves to be highly effective in comparing solutions within ILP frameworks. Additionally, we discuss the robustness of the proposed methodology and its implications for decision-making under uncertainty.

AxiomsVol. 14(8)
University of Urbino (IT), University of Bologna (IT)
European Commission
Openalex Percentile: Top 79%
Optimization and Mathematical Programming
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