Risk Explicit Interval Linear Programming Model for Uncertainty-Based Nutrient-Reduction Optimization for the Lake Qionghai Watershed

作者: Yong Liu , Rui Zou , Huaicheng Guo

DOI: 10.1061/(ASCE)WR.1943-5452.0000099

关键词:

摘要: Water quality management is subject to large uncertainties due inherent randomness in the natural system and vagueness decision-making process. For water optimization models, this means that some model coefficients can be represented by probability distributions, while others expressed only ranges. Interval linear programming (ILP) risk explicit interval (REILP) models for optimal load reduction at watershed scale are developed of Lake Qionghai Watershed, China. The solution space an ILP using intervals corresponding lower upper bounds each decision variable. REILP extends through introducing a function aspiration levels ( λpre ) into formulation. able generate practical solutions trade-offs solving series submodels, minimizing under different levels. This illustra...

参考文章(35)
J. Ramík, Miroslav Fiedler, J. Nedoma, Karel Zimmermann, J. Rohn, Linear Optimization Problems with Inexact Data ,(2006)
D. J. Conley, H. W. Paerl, R. W. Howarth, D. F. Boesch, S. P. Seitzinger, K. E. Havens, C. Lancelot, G. E. Likens, Controlling Eutrophication: Nitrogen and Phosphorus Science. ,vol. 323, pp. 1014- 1015 ,(2009) , 10.1126/SCIENCE.1167755
Mujgan S Ozdemir, Thomas L Saaty, None, The unknown in decision making What to do about it European Journal of Operational Research. ,vol. 174, pp. 349- 359 ,(2006) , 10.1016/J.EJOR.2004.12.017
Huai-cheng Guo, Yong-li Dai, Li-jing Wang, Bin He, Yong Liu, Zi-hai Li, Xiu-min Zhang, Dynamic phosphorus budget for lake-watershed ecosystems. Journal of Environmental Sciences-china. ,vol. 18, pp. 596- 603 ,(2006)
K.A. Andersen, J.N. Hooker, A linear programming framework for logics of uncertainty decision support systems. ,vol. 16, pp. 39- 53 ,(1996) , 10.1016/0167-9236(94)00055-7
J W Chinneck, K Ramadan, Linear programming with interval coefficients Journal of the Operational Research Society. ,vol. 51, pp. 209- 220 ,(2000) , 10.1057/PALGRAVE.JORS.2600891
Guo H. Huang, Brian W. Baetz, Gilles G. Patry, Grey integer programming: An application to waste management planning under uncertainty European Journal of Operational Research. ,vol. 83, pp. 594- 620 ,(1995) , 10.1016/0377-2217(94)00093-R
GUOHE HUANG, R. DAN MOORE, Grey linear programming, its solving approach, and its application International Journal of Systems Science. ,vol. 24, pp. 159- 172 ,(1993) , 10.1080/00207729308949477
G.H. Huang, A hybrid inexact-stochastic water management model European Journal of Operational Research. ,vol. 107, pp. 137- 158 ,(1998) , 10.1016/S0377-2217(97)00144-6