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 decisionmaking under uncertainty
A Comparison Index for Costs of Interval Linear Programming Models
Laerte Sorini;Luciano Stefanini
2025
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 decisionmaking under uncertaintyFile in questo prodotto:
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A Comparison Index For Costs of Interval Linear Programming Models-Guerra M.L.-Sorini L.-Stefanini L.pdf
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