Stochastic dynamic programming formulation for a wastewater treatment decision-making framework

Annals of Operations Research

Volumn 132, Issue 1-4, 2004, Pages 207-221

  Tsai, Julia C C ^a   Chen, Victoria C P ^b   Beck, M Bruce ^c   Chen, Jining ^d  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

^c UNIVERSITY OF GEORGIA   (United States)

^d TSINGHUA UNIVERSITY   (China)

Author keywords

dynamic programming; Latin hypercubes; orthogonal arrays; regression splines; wastewater treatment

Indexed keywords

EID: 6344254496     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/B:ANOR.0000045283.86576.62     Document Type: Conference Paper

References (25)

1. Baglietto, M., C. Cervellera, T. Parisini, M. Sanguineti, and R. Zoppoli. (2001). "Approximating Networks for the Solution of T-Stage Stochastic Optimal Control Problems." In Proceedings of the IFAC Workshop on Adaptation and Modeling in Control and Signal Processing.
2. Beck, M.B. and R.G. Cummings. (1996). "Wastewater Infrastructures: Challenges for the Sustainable City in the New Millennium." Habitat International 20(3), 405-420.
3. Bellman, R.E. (1957). Dynamic Programming. Princeton: Princeton University Press.
4. Chen, J. (1993). "Environmentally Efficient Urban Drainage for the 21st Century: A Literature Review." Technical Report, Department of Civil Engineering, Imperial College of Science, Technology and Medicine, London, UK.
5. Chen, J. and M.B. Beck. (1997). "Towards Designing Sustainable Urban Wastewater Infrastructures: A Screening Analysis." Water Sciences Technology 15, 99-112.
6. Chen, V.C.P. (1999). "Application of MARS and Orthogonal Arrays to Inventory Forecasting Stochastic Dynamic Programs." Computational Statistics and Data Analysis 30, 317-341.
7. Chen, V.C.P. (2001). "Measuring the Goodness of Orthogonal Array Discretizations for Stochastic Programming and Stochastic Dynamic Programming." SIAM Journal of Optimization 12, 322-344.
8. Chen, V.C.P., J. Chen, and M.B. Beck. (2000). "Statistical Learning within a Decision-Making Framework for more Sustainable Urban Environments." In Proceedings of the Joint Research Conference on Statistics in Quality, Industry, and Technology, Seattle, WA, June 2000.
9. Chen, V.C.P., D. Ruppert, and C.A. Shoemaker. (1999). "Applying Experimental Design and Regression Splines to High-Dimensional Continuous-State Stochastic Dynamic Programming." Operations Research 47, 38-53.
10. Chen, V.C.P., J.C.C. Tsai, E.K. Lee, and E.L. Johnson. (2001). "A Decision-Making Framework for Evaluating Wastewater Treatment Technologies." In Proceedings of the 5th Annual Green Chemistry and Engineering Conference, Washington, DC, June 2001.
11. Foufoula-Georgiou, E. and P.K. Kitanidis. (1988). "Gradient Dynamic Programming for Stochastic Optimal Control of Multidimensional Water Resources Systems." Water Resources Research 24, 1345-1359.
12. Friedman, J.H. (1991). "Multivariate Adaptive Regression Splines" (with discussion). Annals of Statistics 19, 1-141.
13. Johnson, S.A., J.R. Stedinger, C.A. Shoemaker, Y. Li, and J.A. Tejada-Guibert. (1993). "Numerical Solution of Continuous-State Dynamic Programs Using Linear and Spline Interpolation." Operations Research 41, 484-500.
14. Plackett, R.L. and J.P. Burman. (1946). "The Design of Multifactorial Experiments." Biometrika 33, 305-325.
15. Puterman, M.L. (1994). Markov Decision Processes. New York: Wiley.
16. Rossman, L.A. (1980). "Synthesis of Waste Treatment Systems by Implicit Enumeration." Journal Water Pollution Control Federation 52(1), 148-160.
17. Shih, C.S. and J.A. DeFilippi. (1970). "System Optimization of Waste Treatment Plant Process Design." Journal of the Sanitary Engineering Division 96(2), 409-421.
18. Tang, B. (1993). "Orthogonal Array-Based Latin Hypercubes." Journal of the American Statistical Association 88, 1392-1397.
19. Tang, C.-C., E.D. Brill, Jr., and J.T. Pfeffer. (1987). "Optimization Techniques for Secondary Wastewater Treatment Systems." Journal of Environmental Engineering, ASCE 113(5), 935-951.
20. Tsai, J.C.C. (2002). Statistical Modeling of the Value Function in High-Dimensional, Continuous-State Stochastic Dynamic Programming. Ph.D. Dissertation, Georgia Institute of Technology.
21. Tyteca, D. (1981). "Nonlinear Programming Model of Wastewater Treatment Plant." Journal of the Environmental Engineering Division 107(4), 747-766.
22. Tyteca, D. and Y. Smeers. (1981). "Nonlinear Programming Design of Wastewater Treatment Plant." Journal of the Environmental Engineering Division 107(4), 767-779.
23. Uber, J.G., E.D. Brill, Jr., and J.T. Pfeffer. (1991a). "Robust Optimal Design for Wastewater Treatment. I: General Approach." Journal of Environmental Engineering, ASCE 117(4), 425-437.
24. Uber, J.G., E.D. Brill, Jr., and J.T. Pfeffer. (1991b). "Robust Optimal Design for Wastewater Treatment. II: Application." Journal of Environmental Engineering, ASCE 117(4), 438-456.
25. Wagner, B. (1999). "Evaluating Data Worth for Ground-Water Management under Uncertainty." Journal of Water Resources Planning and Management 125(5), 281-288.