Technical Papers
Oct 29, 2015

Factorial Two-Stage Irrigation System Optimization Model

Publication: Journal of Irrigation and Drainage Engineering
Volume 142, Issue 2

Abstract

This study proposes a factorial two-stage irrigation system optimization model (FTIM) for supporting agricultural irrigation water-resource management under uncertainty. The FTIM incorporates fractional factorial design, two-stage stochastic programming (TSP), interval linear programming (ILP), and interval probability and is applied to agricultural water allocation. The FTIM can take full advantage of conventional two-stage optimization approaches to tackle uncertainties presented as intervals, to investigate potential interactions among input parameters and their influences on system performance, and to enhance applicability to dual uncertainties expressed as interval probabilities. The proposed FTIM approach is for the first time applied to a hypothetical case study of water resource allocation in an agricultural irrigation problem. The results indicate that the effects of parameters on the objective function are evaluated quantitatively, which can help decision makers screen out significant parameters, analyze their interactions in model response, and identify possible schemes with maximized net system benefit. Especially for the study problem, the most positive significant factor affecting total net benefits is water quality at a medium flow; penalties resulting from undelivered water and benefit rates of onion farms in both periods have negative effects.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was supported by the Natural Sciences Foundation (51190095, 51225904), the 111 Project (B14008), and the Natural Science and Engineering Research Council of Canada.

References

Alzraiee, A., Gates, T., and Garcia, L. (2013). “Modeling subsurface heterogeneity of irrigated and drained fields. II: Multivariate stochastic analysis of root-zone hydrosalinity and crop yield.” J. Irrig. Drain Eng., 809–820.
Bonaccorso, B., Cancelliere, A., and Rossi, G. (2003). “An analytical formulation of return period of drought severity.” Stochastic Environ. Res. Risk Assess., 17(3), 157–174.
Box, G. E., Hunter, W. G., and Hunter, J. S. (1978). Statistics for experimenters, Wiley, Hoboken, NJ.
Cai, Y. P., Huang, G. H., Nie, X. H., Li, Y. P., and Tan, Q. (2007). “Municipal solid waste management under uncertainty: A mixed interval parameter fuzzy-stochastic robust programming approach.” Environ. Eng. Sci., 24(3), 338–352.
Gilchrist, S., Borst, M., and Stander, E. (2014). “Factorial study of rain garden design for nitrogen removal.” J. Irrig. Drain Eng., 1–11.
Guo, P., Huang, G. H., Zhu, H., and Wang, X. L. (2010). “A two-stage programming approach for water resources management under randomness and fuzziness.” Environ. Modell. Software, 25(12), 1573–1581.
He, L., Huang, G. H., Lu, H. W., and Zeng, G. M. (2008). “Optimization of surfactant-enhanced aquifer remediation for a laboratory BTEX system under parameter uncertainty.” Environ. Sci. Technol., 42(6), 2009–2014.
Huang, G. H., Baetz, B. W., and Patry, G. G. (1998). “Trash-flow allocation: Planning under uncertainty.” Interfaces, 28(6), 36–55.
Huang, G. H., and Chang, N. B. (2003). “The perspectives of environmental informatics and systems analysis.” J. Environ. Inf., 1(1), 1–7.
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(2), 95–118.
Huang, G. H., Sun, W., Nie, X. H., Qin, X. S., and Zhang, X. D. (2010). “Development of a decision-support system for rural eco-environmental management in Yongxin County, Jiangxi Province, China.” Environ. Modell. Software, 25(1), 24–42.
Ji, Y., Huang, G. H., and Sun, W. (2014). “Inexact left-hand-side chance-constrained programming for nonpoint-source water quality management.” Water Air Soil Pollut., 225(3), 1895.
Jones, B., and Nachtsheim, C. J. (2011). “A class of three-level designs for definitive screening in the presence of second-order effects.” J. Qual. Technol., 43(1), 1–15.
Li, M., Guo, P., Fang, S. Q., and Zhang, L. D. (2013). “An inexact fuzzy parameter two-stage stochastic programming model for irrigation water allocation under uncertainty.” Stochastic Environ. Res. Risk Assess., 27(6), 1441–1452.
Li, Y. P., Huang, G. H., Nie, X. H., and Nie, S. L. (2008). “A two-stage fuzzy robust integer programming approach for capacity planning of environmental management systems.” Eur. J. Oper. Res., 189(2), 399–420.
Lin, Q. G., Huang, G. H., Bass, B., and Qin, X. S. (2009). “IFTEM: An interval-fuzzy two-stage stochastic optimization model for regional energy systems planning under uncertainty.” Energy Policy, 37(3), 868–878.
Liu, L., Cui, Y., and Luo, Y. (2013). “Integrated modeling of conjunctive water use in a canal-well irrigation district in the lower Yellow River basin, China.” J. Irrig. Drain. Eng., 775–784.
Llamas, M. R., and Custodio, E. (2002). Intensive use of groundwater: Challenges and opportunities, CRC Press, Madrid, Spain.
Lu, H. W., Huang, G. H., and He, L. (2009). “An inexact programming method for agricultural irrigation systems under parameter uncertainty.” Stochastic Environ. Res. Risk Assess., 23(6), 759–768.
Lu, H. W., Huang, G. H., Zeng, G. M., Maqsood, I., and He, L. (2008). “An inexact two-stage fuzzy-stochastic programming model for water resources management.” Water Resour. Manage., 22(8), 991–1016.
Lv, Y., Huang, G. H., Li, Y. P., Yang, Z. F., Liu, Y., and Cheng, G. H. (2010). “Planning regional water resources system using an interval fuzzy bi-level programming method.” J. Environ. Inf., 16(2), 43–56.
Maqsood, I., Huang, G. H., and Yeomans, S. J. (2005). “An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty.” Eur. J. Oper. Res., 167(1), 208–225.
Maqsood, I., Li, J. B., and Huang, G. H. (2003). “Inexact multiphase modeling system for the management of subsurface contamination under uncertainty.” Pract. Period. Hazard. Toxic Radioact. Waste Manage., 86–94.
Montgomery, D. C. (2008). Design and analysis of experiments, Wiley, Hoboken, NJ.
Montgomery, D. C., and Runger, G. C. (2009). Applied statistics and probability for engineers, Wiley, Hoboken, NJ.
Qin, X. S., Huang, G. H., and Chakma, A. (2008). “Modeling groundwater contamination under uncertainty: A factorial-design-based stochastic approach.” J. Environ. Inf., 11(1), 11–20.
Qu, X. G., and Wu, C. F. J. (2005). “One-factor-at-a-time designs of resolution V.” J. Stat. Plan. Inference, 131(2), 407–416.
Rowshon, M., Mojid, M., Amin, M., Azwan, M., and Yazid, A. (2014). “Improving irrigation water delivery performance of a large-scale rice irrigation scheme.” J. Irrig. Drain. Eng., 1–13.
Ruszczyński, A. (1993). “Parallel decomposition of multistage stochastic programming problems.” Math. Program., 58(1–3), 201–228.
Singh, A. (2014). “Simulation and optimization modeling for the management of groundwater resources. II: Combined applications.” J. Irrig. Drain. Eng., 1–9.
Soravia, S., and Orth, A. (2009). “Design of experiments.” Ullmann’s encyclopedia of industrial chemistry, Wiley, Hoboken, NJ.
Wang, L., Fang, L., and Hipel, K. (2003). “Water resources allocation: A cooperative game theoretic approach.” J. Environ. Inf., 2(2), 11–22.
Wang, P. C., and Lee, C. (2006). “Strategies for semi-folding fractional factorial designs.” Qual. Reliab. Eng., 22(3), 265–273.
Wang, S., and Huang, G. H. (2013). “An interval-parameter two-stage stochastic fuzzy program with type-2 membership functions: An application to water resources management.” Stochastic Environ. Res. Risk Assess., 27(6), 1493–1506.
Wang, S., and Huang, G. H. (2014). “An integrated approach for water resources decision making under interactive and compound uncertainties.” Omega, 44, 32–40.
Wang, S., Huang, G. H., and Veawab, A. (2013). “A sequential factorial analysis approach to characterize the effects of uncertainties for supporting air quality management.” Atmos. Environ., 67, 304–312.
Xie, Y. L., Huang, G. H., Li, W., Li, J. B., and Li, Y. F. (2013). “An inexact two-stage stochastic programming model for water resources management in Nansihu Lake basin, China.” J. Environ. Manage., 127, 188–205.
Xu, Y., Huang, G. H., and Qin, X. S. (2009). “Inexact two-stage stochastic robust optimization model for water resources management under uncertainty.” Environ. Eng. Sci., 26(12), 1765–1776.
Yager, R. R., and Kreinovich, V. (1999). “Decision making under interval probabilities.” Int. J. Approximate Reasoning, 22(3), 195–215.
Zhou, X., Huang, G. H., Zhu, H., and Yan, B. (2014). “Two-stage chance-constrained fractional programming for sustainable water quality management under uncertainty.” J. Water Resour. Plann. Manage., 1–12.
Zhou, Y., Huang, G. H., and Yang, B. (2013). “Water resources management under multi-parameter interactions: A factorial multi-stage stochastic programming approach.” Omega, 41(3), 559–573.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 142Issue 2February 2016

History

Received: Oct 2, 2014
Accepted: Jul 2, 2015
Published online: Oct 29, 2015
Published in print: Feb 1, 2016
Discussion open until: Mar 29, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Xiaying Xin [email protected]
Research Assistant, Institute for Energy, Environment and Sustainable Communities, Univ. of Regina, Regina, Saskatchewan, Canada S4S 0A2. E-mail: [email protected]
Guohe Huang [email protected]
Professor, Institute for Energy, Environment and Sustainability Research, UR-NCEPU, Univ. of Regina, Regina, Saskatchewan, Canada S4S 0A2; Professor, Institute for Energy, Environment and Sustainability Research, UR-NCEPU, North China Electric Power Univ., Beijing 102206, China (corresponding author). E-mail: [email protected]; [email protected]
Research Associate, Institute for Energy, Environment and Sustainable Communities, Univ. of Regina, Regina, Saskatchewan, Canada S4S 0A2. E-mail: [email protected]
Research Assistant, Institute for Energy, Environment and Sustainable Communities, Univ. of Regina, Regina, Saskatchewan, Canada S4S 0A2. E-mail: [email protected]
Research Associate, Institute for Energy, Environment and Sustainable Communities, Univ. of Regina, Regina, Saskatchewan, Canada S4S 0A2. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share