A multi-level Taguchi-factorial two-stage stochastic programming approach for characterization of parameter uncertainties and their interactions: An application to water resources management

European Journal of Operational Research

Volumn 240, Issue 2, 2015, Pages 572-581

  Wang, S ^a   Huang, G H ^a  

^a UNIVERSITY OF REGINA   (Canada)

Author keywords

(D) OR in natural resources; Multi level factorial design; Taguchi's orthogonal array; Two stage stochastic programming; Water resources management

Indexed keywords

DECISION MAKING; DESIGN; NATURAL RESOURCES MANAGEMENT; STOCHASTIC PROGRAMMING; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

FACTORIAL DESIGN; OR IN NATURAL RESOURCES; TAGUCHI'S ORTHOGONAL ARRAYS; TWO-STAGE STOCHASTIC PROGRAMMING; WATER RESOURCES MANAGEMENT;

WATER RESOURCES;

EID: 84922337633     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2014.07.011     Document Type: Article

References (35)

1. Abdelaziz, F. B. (2012). Solution approaches for the multiobjective stochastic programming. European Journal of Operational Research, 216, 1-16.
2. Adenso-Díaz, B., & Laguna, M. (2006). Fine-tuning of algorithms using fractional experimental designs and local search. Operations Research, 54, 99-114.
3. Birge, J. R., & Louveaux, F. V. (1988). A multicut algorithm for two-stage stochastic linear programs. European Journal of Operational Research, 34, 384-392.
4. Birge, J. R., & Louveaux, F. V. (1997). Introduction to stochastic programming. New York: Springer.
5. Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2, 455-475.
6. Bravo, M., & Gonzalez, I. (2009). Applying stochastic goal programming: A case study on water use planning. European Journal of Operational Research, 196, 1123-1129.
7. Chung, G., Lansey, K., & Bayraksan, G. (2009). Reliable water supply system design under uncertainty. Environmental Modelling & Software, 24, 449-462.
8. Fan, Y. R., & Huang, G. H. (2012). A robust two-step method for solving interval linear programming problems within an environmental management context. Journal of Environmental Informatics, 19, 1-9.
9. Gaivoronski, A., Sechi, G. M., & Zuddas, P. (2012). Cost/risk balanced management of scarce resources using stochastic programming. European Journal of Operational Research, 216, 214-224.
10. Guo, P., Huang, G. H., Zhu, H., & Wang, X. L. (2010). A two-stage programming approach for water resources management under randomness and fuzziness. Environmental Modelling & Software, 25, 1573-1581.
11. Huang, G. H. (1998). A hybrid inexact-stochastic water management model. European Journal of Operational Research, 107, 137-158.
12. Huang, G. H., Baetz, B. W., & Patry, G. G. (1992). A grey linear programming approach for municipal solid waste management planning under uncertainty. Civil Engineering and Environmental Systems, 9, 319-335.
13. Huang, G. H., & Loucks, D. P. (2000). An inexact two-stage stochastic programming model for water resources management under uncertainty. Civil Engineering and Environmental Systems, 17, 95-118.
14. Lewis, S. M., & Dean, A. M. (2001). Detection of interactions in experiments on large numbers of factors. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 63, 633-672.
15. Li, Y. P., Huang, G. H., Huang, Y. F., & Zhou, H. D. (2009). A multistage fuzzystochastic programming model for supporting sustainable water-resources allocation and management. Environmental Modelling & Software, 24, 786-797.
16. Li, Y. P., Huang, G. H., Nie, S. L., & Liu, L. (2008). Inexact multistage stochastic integer programming for water resources management under uncertainty. Journal of Environmental Management, 88, 93-107.
17. Lin, Y. P., Huang, G. H., Lu, H. W., & He, L. (2008). A simulation-aided factorial analysis approach for characterizing interactive effects of system factors on composting processes. Science of the Total Environment, 402, 268-277.
18. Mabilia, R., Scipioni, C., Vegliò, F., & Tomasi Scianò, M. C. (2010). Fractional factorial experiments using a test atmosphere to assess the accuracy and precision of a new passive sampler for the determination of formaldehyde in the atmosphere. Atmospheric Environment, 44, 3942-3951.
19. Maqsood, I., Huang, G. H., & Yeomans, J. S. (2005). An interval-parameter fuzzy twostage stochastic program for water resources management under uncertainty. European Journal of Operational Research, 167, 208-225.
20. Montgomery, D. C. (2001). Design and analysis of experiments (5th ed.). New York: John Wiley & Sons Inc.
21. Onsekizoglu, P., Bahceci, K. S., & Acar, J. (2010). The use of factorial design for modeling membrane distillation. Journal of Membrane Science, 349, 225-230.
22. Qin, X. S., Huang, G. H., & Chakma, A. (2008). Modeling groundwater contamination under uncertainty: A factorial-design-based stochastic approach. Journal of Environmental Informatics, 11, 11-20.
23. Qin, X. S., Huang, G. H., Zeng, G. M., Chakma, A., & Huang, Y. F. (2007). An intervalparameter fuzzy nonlinear optimization model for stream water quality management under uncertainty. European Journal of Operational Research, 180, 1331-1357.
24. Taguchi, G. (1986). Introduction to quality engineering: Designing quality into products and processes. Asian Productivity Organization, Tokyo.
25. Taguchi, G. (1987). System of experimental design: Engineering methods to optimize quality and minimize costs (Vols. 1 & 2). New York: UNIPUB/Kraus International Publications.
26. Teegavarapu, R. S. V. (2010). Modeling climate change uncertainties in water resources management models. Environmental Modelling & Software, 25, 1261-1265.
27. UN-Water (2006). Coping with water scarcity: A strategic issue and priority for systemwide action.
28. Wang, S., & Huang, G. H. (2011). Interactive two-stage stochastic fuzzy programming for water resources management. Journal of Environmental Management, 92, 1986-1995.
29. Wang, S., & Huang, G. H. (2012). Identifying optimal water resources allocation strategies through an interactive multi-stage stochastic fuzzy programming approach. Water Resources Management, 26, 2015-2038.
30. Wang, S., & Huang, G. H. (2013). A coupled factorial-analysis-based interval programming approach and its application to air quality management. Journal of the Air & Waste Management Association, 63, 179-189.
31. Wang, S., Huang, G. H., & Veawab, A. (2013). A sequential factorial analysis approach to characterize the effects of uncertainties for supporting air quality management. Atmospheric Environment, 67, 304-312.
32. Wu, C. F. J., & Hamada, M. S. (2009). Experiments: Planning, analysis, and optimization (2nd ed.). New Jersey: John Wiley & Sons Inc.
33. Xu, H., Chen, S. W., & Wu, C. F. J. (2004). Optimal projective three-level designs for factor screening and interaction detection. Technometrics, 46, 280-292.
34. Zhou, Y., & Huang, G. H. (2011). Factorial two-stage stochastic programming for water resources management. Stochastic Environmental Research and Risk Assessment, 25, 67-78.
35. Zhou, Y., Huang, G. H., & Yang, B. (2013). Water resources management under multiparameter interactions: A factorial multi-stage stochastic programming approach. Omega, 41, 559-573.