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A Generalized Interval Fuzzy Chance-Constrained Programming Method for Domestic Wastewater Management Under Uncertainty – A Case Study of Kunming, China

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Abstract

In this study, interval mathematical programming (IMP), m λ -measure, and fuzzy chance-constrained programming are incorporated into a general optimization framework, leading to a generalized interval fuzzy chance-constrained programming (GIFCP) method. GIFCP can be used to address not only interval uncertainties in the objective function, variables and left-hand side parameters but also fuzzy uncertainties on the right-hand side. Also, it can reflect the aspiration preference of optimistic and pessimistic decision makers due to the integration of m λ -measure. The developed method is applied to the long-term planning of a domestic wastewater management system in the city of Kunming, China, with consideration of the eco-environmental protection of downstream water body. The solution results of the GIFCP method can generate a series of optimal wastewater allocation patterns and WTPs capacity expansion schemes under different risk levels, provide in-depth insights into the effects of uncertainties, and consider the proper balance between system cost and risk of constraint violation.

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Acknowledgments

This paper was supported by the Major Science and Technology Program for Water Pollution Control and Treatment of China (2013ZX07102-006). Also, the authors are grateful to the editors and the anonymous reviewers for their insightful comments and suggestions.

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Authors and Affiliations

  1. College of Environmental Science and Engineering, Peking University, Beijing, 100871, China

    C. Dai, Y. Liu, W. J. Wang & H. C. Guo

  2. State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University, Beijing, 100875, China

    Y. P. Cai

  3. Institute for Energy, Environment and Sustainable Communities, University of Regina, 120, 2 Research Drive, Regina, SK, S4S 7H9, Canada

    Y. P. Cai

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  1. C. Dai
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  2. Y. P. Cai
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  3. Y. Liu
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  4. W. J. Wang
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  5. H. C. Guo
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Correspondence to H. C. Guo.

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Dai, C., Cai, Y.P., Liu, Y. et al. A Generalized Interval Fuzzy Chance-Constrained Programming Method for Domestic Wastewater Management Under Uncertainty – A Case Study of Kunming, China. Water Resour Manage 29, 3015–3036 (2015). https://doi.org/10.1007/s11269-014-0902-x

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