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An improved risk-explicit interval linear programming model for pollution load allocation for watershed management

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Abstract

Although the risk-explicit interval linear programming (REILP) model has solved the problem of having interval solutions, it has an equity problem, which can lead to unbalanced allocation between different decision variables. Therefore, an improved REILP model is proposed. This model adds an equity objective function and three constraint conditions to overcome this equity problem. In this case, pollution reduction is in proportion to pollutant load, which supports balanced development between different regional economies. The model is used to solve the problem of pollution load allocation in a small transboundary watershed. Compared with the REILP original model result, our model achieves equity between the upstream and downstream pollutant loads; it also overcomes the problem of greatest pollution reduction, where sources are nearest to the control section. The model provides a better solution to the problem of pollution load allocation than previous versions.

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Funding information

This research was supported by the Major State Water Pollution Control and Treatment Technique Program of China (2012ZX07506007-02).

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Authors and Affiliations

  1. State Key Laboratory of Pollution Control and Resource Reuse, School of the Environment, Nanjing University, Nanjing, 210023, China

    Bisheng Xia, Xin Qian & Hong Yao

  2. School of Geography, Nantong University, Nantong, 226019, China

    Hong Yao

Authors
  1. Bisheng Xia
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  2. Xin Qian
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  3. Hong Yao
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Correspondence to Xin Qian.

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Responsible editor: Kenneth Mei Yee Leung

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Xia, B., Qian, X. & Yao, H. An improved risk-explicit interval linear programming model for pollution load allocation for watershed management. Environ Sci Pollut Res 24, 25126–25136 (2017). https://doi.org/10.1007/s11356-017-0169-x

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