An Interval-parameter Chance-constrained Linear Programming Model For Water Quality Management Of The Baiyangdian Lake In China

In the study, an interval-parameter chance-constrained linear programming (ICLP) model is developed for planning water quality under uncertainties. The ICLP model is based on an integration of chance-constrained programming (CCP) and interval linear programming (ILP) techniques. Uncertainties expressed as both probability distribution functions and interval values are incorporated within a general interval-optimization framework. The developed method is applied to the long-term water quality management in the Baiyangdian Lake (BLICLP). Interval solutions associated with different risk levels of constraint violation were obtained, which could be used for generating decision alternatives. The results demonstrated that the developed method not only helped decision makers identify desired policies under various economic and system-reliability constraints of water environmental capacity of pollutants, but also generated land-division and industry-division schemes with a maximized system benefit. The model is a useful tool for analyzing tradeoffs between economic benefits and environmental constraint-violation risks associated with water quality management at the watershed level.