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

作者：Dai, C.; Cai, Y. P.; Liu, Y.; Wang, W. J.; Guo, H. C.^*

来源：Water Resources Management, 2015, 29(9): 3015-3036.

DOI：10.1007/s11269-014-0902-x

• Wastewater treatment plant
• Capacity expansion
• Possibility measure
• Interval optimization
• Fuzzy chance constrained programming
• Uncertainty

In this study, interval mathematical programming (IMP), m(lambda) -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(lambda) -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.

• 出版日期2015-7
• 单位北京师范大学; 北京大学