An inexact two-stage quadratic program for water resources planning

Journal of Environmental Informatics

Volumn 10, Issue 2, 2007, Pages 99-105

  Li, Y P ^a   Huang, G H ^a   Xiao, H N ^b   Qin, X S ^a  

^a UNIVERSITY OF REGINA   (Canada)

^b UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Decision making; Inexact optimization; Quadratic programming; Two stage stochastic; Water resources

Indexed keywords

MODELING; STOCHASTICITY; WATER MANAGEMENT; WATER PLANNING; WATER RESOURCE; WATER SUPPLY;

EID: 45349084986     PISSN: 17262135     EISSN: 16848799     Source Type: Journal    
DOI: 10.3808/jei.200700104     Document Type: Article

References (20)

1. Chen, M.J. and Huang, G.H. (2001). A derivative algorithm for inexact quadratic program-application to environmental decision-making under uncertainty, Eur. J. Oper. Res., 128, 570-586.
2. Ferrero, R.W., Rivera, J.F. and Shahidehpour, S.M. (1998). A dynamic programming two-stage algorithm for long-term hydrothermal scheduling of multireservoir systems, IEEE Transactions on Power Systems, 13, 1534-1540.
3. Hillier, F.S. and Lieberman, G.J. (1986) Introduction to Operations Research, fourth ed. Holden-Day, Oakland, CA.
4. Huang, G.H., Baetz, B.W. and Patry, G.G. (1995). Gery quadratic programming and its application to municipal waste management planning under uncertainty, Eng. Optimiz., 23, 210-223.
5. Huang, G.H. (1996). IPWM: an interval parameter water quality management model, Eng. Optimiz., 26, 79-103.
6. Huang, G.H. and Loucks, D.P. (2000). An inexact two-stage stochastic programming model for water resources management under uncertainty, Civ. Eng. Environ. Syst., 17, 95-118.
7. Huang, G.H. and Chang, N.B. (2003). The perspectives of environmental informatics and systems analysis, J. Environ. Inf., 1, 1-6.
8. Kovacs, L., Boros, E. and Inotay, F. (1986). A two-stage approach for large-scale sewer systems design with application to the Lake Balaton resort area, Eur. J. Oper. Res., 23(2) 169-178.
9. Li, Y.P., Huang, G.H. and Nie, S.L. (2006). An interval-parameter multi-stage stochastic programming model for water resources management under uncertainty, Adv. Water Resour., 29, 776-789.
10. Li, Y.P. and Huang, G.H. (2007). Interval-parameter two-stage stochastic nonlinear programming for water resources management under uncertainty, Water Resour. Manage., Available online.
11. Loucks, D. P., Stedinger, J.R. and Haith, D.A. (1981). Water Resource Systems Planning and Analysis, Prentice-Hall, Englewood Cliffs, N.J.
12. Luo, B., Maqsood, I., Yin, Y.Y., Huang, G.H. and Cohen, S.J. (2003). Adaption to climate change through water trading under uncertainty - an inexact two-stage nonlinear programming approach, J. Environ. Inf., 2(2), 58-68.
13. Maqsood, I., Huang, G.H. and Yeomans, J.S. (2005). An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty, Eur. J. Oper. Res., 167, 208-225.
14. Rockafellar, R.T. and Wets, R.J.B. (1986). A Lagrangian finite generation technique for solving linear-quadratic problems in stochastic programming Math, Programming Study, 28, 63-93.
15. Ruszczynski, A. and Swietanowski, A. (1997). Accelerating the regularized decomposition method for two-stage stochastic linear problems, Eur. J. Oper. Res., 101, 328-342.
16. Seifi, A. and Hipel, K.W. (2001). Interior-point method for reservoir operation with stochastic inflows, J. Water Resour. Plann. Manage., 127(1), 48-57.
17. Shil'man, S.V. (1992). Stochastic quasigradient method for quadratic optimization under dependent observations, Automation and Remote Control, 53, 1881-1896.
18. Trezos, T. and Yeh, W.W.-G. (1987). Use of stochastic dynamic programming for reservoir management, Water Resour. Res., 23, 983-996.
19. Wang, D. and Adams, B.J. (1986). Optimization of real-time reservoir operations with Markov decision processes, Water Resour. Res., 22, 345-352.
20. Wang, L.Z., Fang, L. and Hipel, K.W. (2003). Water resources allocation: A cooperative game theoretic approach, J. Environ. Inf., 2, 11-22.