Article
Design of water quality policies based on proportionality in multi-issue problems with crossed claims
Author/s | Acosta Vega, Rick Keevin
Algaba Durán, Encarnación Sánchez Soriano, Joaquín |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Publication Date | 2023-12-01 |
Deposit Date | 2024-02-23 |
Published in |
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Abstract | Water pollutants can be classified into three categories, each of which includes several classifications of substances. In this paper, we present a methodology based on bankruptcy models to determine the emission limits ... Water pollutants can be classified into three categories, each of which includes several classifications of substances. In this paper, we present a methodology based on bankruptcy models to determine the emission limits of polluting substances belonging to more than one category. We model the problem as a multi-issue allocation problem with crossed claims and introduce the constrained proportional awards rule to obtain the emission limits. This rule is based on the concept of proportionality and extends the proportional rule for bankruptcy problems. We also provide an axiomatic characterization of this rule. Moreover, this allocation rule is illustrated by means of a numerical example based on real-world data. Finally, managerial and policy implications of this approach for water pollution control are given. |
Project ID. | PGC2018-097965-B-I00
MCIN/AEI/10.13039/501100011033 PROMETEO/2021/063 |
Citation | Acosta Vega, R.K., Algaba Durán, E. y Sánchez Soriano, J. (2023). Design of water quality policies based on proportionality in multi-issue problems with crossed claims. European Journal of Operational Research, 311 (2), 777-788. https://doi.org/10.1016/j.ejor.2023.05.029. |
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