Technical Papers
Aug 23, 2016

Multilevel Factorial Fractional Programming for Sustainable Water Resources Management

Publication: Journal of Water Resources Planning and Management
Volume 142, Issue 12

Abstract

The need for more efficient water use has increased in importance with growing water scarcity and increasing competition among water users. Measuring the economic efficiency of water use has become a useful indicator for water resources management at all levels. This study proposes a multilevel factorial fractional programming model to support water resources management under uncertainty. Linear fractional programming is introduced to provide a practical way for taking into account the ratio of economic benefit to water consumption in the modeling process. This approach allows water allocation plans to be developed on the basis of the optimal economic efficiency of water use rather than economic incentives. A multilevel factorial analysis technique is integrated within linear fractional programming framework to deal with data uncertainty. This technique can quantify the individual and interactive effects of uncertain parameters on system performance and help decision makers gain improved insight into a changing system. To demonstrate its applicability, the model is applied to Xingshan County in China. A set of decision alternatives with respect to the optimal economic efficiency of water use are provided. The effects of uncertain parameters are quantified through a detailed uncertainty analysis, and the most influential parameters are identified.

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 National Sciences Foundation (51190095, 51225904), the 111 Project (B14008), and the Natural Science and Engineering Research Council of Canada. The authors thank the editors and anonymous reviewers for their helpful and insightful suggestions on the manuscript.

References

Ahmadi, A., Moridi, A., and Han, D. (2015). “Uncertainty assessment in environmental risk through Bayesian networks.” J. Environ. Inf., 25(1), 46–59.
Boggia, A., and Cortina, C. (2010). “Measuring sustainable development using a multi-criteria model: A case study.” J. Environ. Manage., 91(11), 2301–2306.
Charnes, A., and Cooper, W. W. (1962). “Programming with linear fractional functionals.” Nav. Res. Logist. Q., 9(3-4), 181–186.
Chen, F., Huang, G., and Fan, Y. (2015). “Inexact multistage fuzzy-stochastic programming model for water resources management.” J. Water Resour. Plann. Manage., 04015027.
Costi, P., Minciardi, R., Robba, M., Rovatti, M., and Sacile, R. (2004). “An environmentally sustainable decision model for urban solid waste management.” Waste Manage., 24(3), 277–295.
Davies, E. G. R., and Simonovic, S. P. (2011). “Global water resources modeling with an integrated model of the social-economic–environmental system.” Adv. Water Resour., 34(6), 684–700.
FATDC (Foreign Affairs, Trade and Development Canada). (2015). “Sustainable development.” Government of Canada, Canada.
Hu, M., Huang, G., Sun, W., and Li, Y. (2013). “Inexact quadratic joint-probabilistic programming for water quality management under uncertainty in the Xiangxi River, China.” Stochastic Environ. Res. Risk Assess., 27(5), 1115–1132.
Huang, G. H., Cohen, S. J., Yin, Y. Y., and Bass, B. (1996). “Incorporation of inexact dynamic optimization with fuzzy relation analysis for integrated climate change impact study.” J. Environ. Manage., 48(1), 45–68.
Khalili, N. R., and Duecker, S. (2013). “Application of multi-criteria decision analysis in design of sustainable environmental management system framework.” J. Cleaner Prod., 47, 188–198.
Li, Z. (2012). Inexact optimization modeling for water quality management in Xingshan County of the Xiangxi River Basin, Univ. of Regina, Ottawa, Canada.
Li, Z., Huang, G., Cai, Y., and Li, Y. (2014). “Inexact optimization model for supporting waste-load allocation in the Xiangxi River Basin of the Three Gorges Reservoir region, China.” J. Comput. Civ. Eng., 04014093.
Li, Z., Huang, G., Zhang, Y., and Li, Y. (2013). “Inexact two-stage stochastic credibility constrained programming for water quality management.” Resour. Conserv. Recycl., 73, 122–132.
Li, Z., Huang, G. H., Fan, Y. R., and Xu, J. L. (2015). “Hydrologic risk analysis for nonstationary streamflow records under uncertainty.” J. Environ. Inf., 26(1), 45–51.
Lin, Q., Huang, G., Li, G., and Li, J. (2013). “Dynamic planning of water resource and electric power systems under uncertainty.” J. Water Resour. Plann. Manage., 407–417.
Manos, B., Papathanasiou, J., Bournaris, T., and Voudouris, K. (2010). “A multicriteria model for planning agricultural regions within a context of groundwater rational management.” J. Environ. Manage., 91(7), 1593–1600.
Montgomery, D. C. (2012). Design and analysis of experiments, 8th Ed., Wiley, Hoboken, NJ.
Mustajoki, J., et al. (2011). “Use of decision analysis interviews to support the sustainable use of the forests in Finnish Upper Lapland.” J. Environ. Manage., 92(6), 1550–1563.
Roozbahani, R., Schreider, S., and Abbasi, B. (2015). “Optimal water allocation through a multi-objective compromise between environmental, social, and economic preferences.” Environ. Modell. Software, 64, 18–30.
Scholten, L., Scheidegger, A., Reichert, P., Mauer, M., and Lienert, J. (2014). “Strategic rehabilitation planning of piped water networks using multi-criteria decision analysis.” Water Res., 49, 124–143.
Su, J., Xi, B. D., Liu, H. L., Jiang, Y. H., and Warith, M. A. (2008). “An inexact multi-objective dynamic model and its application in China for the management of municipal solid waste.” Waste Manage., 28(12), 2532–2541.
Tan, Q., Huang, G. H., and Cai, Y. P. (2015). “A fuzzy evacuation management model oriented toward the mitigation of emissions.” J. Environ. Inf., 25(2), 117–125.
Tokos, H., Novak Pintarič, Z., and Yang, Y. (2013). “Bi-objective optimization of a water network via benchmarking.” J. Cleaner Prod., 39, 168–179.
TWB (The World Bank). (2015). “China overview.” 〈http://www.worldbank.org/en/country/china/overview〉.
Wang, S., Huang, G., and Zhou, Y. (2015). “Inexact probabilistic optimization model and its application to flood diversion planning in a dynamic and uncertain environment.” J. Water Resour. Plann. Manage., 04014093.
Wang, S., Huang, G. H., and Zhou, Y. (2016). “A fractional-factorial probabilistic-possibilistic optimization framework for planning water resources management systems with multi-level parametric interactions.” J. Environ. Manage., 172(8), 97–106.
Xevi, E., and Khan, S. (2005). “A multi-objective optimization approach to water management.” J. Environ. Manage., 77(4), 269–277.
Xin, X., Huang, G., Sun, W., Zhou, Y., and Fan, Y. (2016). “Factorial two-stage irrigation system optimization model.” J. Irrig. Drain. Eng., 04015056.
XSCWAB (Xing Shan County Water Affairs Bureau). (2010). “Xingshan County’s 12th five years plan on water resources development.” Xingshan County, Hubei Province, China.
Xu, T., and Qin, X. (2014). “Integrating decision analysis with fuzzy programming: Application in urban water distribution system operation.” J. Water Resour. Plann. Manage., 638–648.
Yang, K., and El-Haik, B. (2009). Design for six sigma: A roadmap for product development, McGraw-Hill, New York.
Yin, Y., Huang, G., and Hipel, K. (1999). “Fuzzy relation analysis for multicriteria water resources management.” J. Water Resour. Plann. Manage., 41–47.
Zeng, X., Li, Y., Huang, G., and Liu, J. (2016a). “Modeling water trading under uncertainty for supporting water resources management in an arid region.” J. Water Resour. Plann. Manage., 04015058.
Zeng, X. T., Huang, G. H., Chen, H. L., Li, Y. P., Kong, X. M., and Fan, Y. R. (2016b). “A simulation-based water-environment management model for regional sustainability in compound wetland ecosystem under multiple uncertainties.” Ecol. Modell., 334, 60–77.
Zeng, X. T., Li, Y. P., Huang, W., Chen, X., and Bao, A. M. (2014). “Two-stage credibility-constrained programming with Hurwicz criterion (TCP-CH) for planning water resources management.” Eng. Appl. Artif. Intell., 35, 164–175.
Zhai, Y., Huang, G., Zhou, Y., and Zhou, X. (2016). “A factorial dual-interval programming approach for planning municipal waste management systems.” J. Environ. Eng., 04016033.
Zhou, X., Huang, G., Zhu, H., Chen, J., and Xu, J. (2015a). “Chance-constrained two-stage fractional optimization for planning regional energy systems in British Columbia, Canada.” Appl. Energy, 154, 663–677.
Zhou, X., Huang, G. H., Zhu, H., and Yan, B. (2015b). “Two-stage chance-constrained fractional programming for sustainable water quality management under uncertainty.” J. Water Resour. Plann. Manage., 04014074.
Zhou, Y., Huang, G., Wang, S., Li, Z., and Zhou, Y. (2016a). “Factorial fuzzy programming for planning water resources management systems.” J. Environ. Plann. Manage., 59(10), 1855–1872.
Zhou, Y., Huang, G., Wang, S., Zhai, Y., and Xin, X. (2016b). “Water resources management under dual uncertainties: A factorial fuzzy two-stage stochastic programming approach.” Stochastic Environ. Res. Risk Assess., 30(3), 795–811.
Zhou, Y., Huang, G., Zhu, H., Li, Z., and Chen, J. (2016c). “A factorial dual-objective rural environmental management model.” J. Cleaner Prod., 124, 204–216.
Zhou, Y., and Huang, G. H. (2011). “Factorial two-stage stochastic programming for water resources management.” Stochastic Environ. Res. Risk Assess., 25(1), 67–78.
Zhou, Y., Huang, G. H., and Yang, B. T. (2013). “Water resources management under multi-parameter interactions: A factorial multi-stage stochastic programming approach.” Omega-Int. J. Manage. Sci., 41(3), 559–573.
Zhu, H., and Huang, G. H. (2011). “SLFP: A stochastic linear fractional programming approach for sustainable waste management.” Waste Manage., 31(12), 2612–2619.
Zhu, H., and Huang, G. H. (2013). “Dynamic stochastic fractional programming for sustainable management of electric power systems.” Int. J. Electr. Power Energy Syst., 53, 553–563.
Zhu, H., Huang, W. W., and Huang, G. H. (2014). “Planning of regional energy systems: An inexact mixed-integer fractional programming model.” Appl. Energy, 113, 500–514.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 142Issue 12December 2016

History

Received: Nov 16, 2015
Accepted: Jun 21, 2016
Published online: Aug 23, 2016
Published in print: Dec 1, 2016
Discussion open until: Jan 23, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Yang Zhou
Research Assistant, Institute for Energy, Environment and Sustainable Communities, Univ. of Regina, Regina, SK, Canada S4S 0A2.
Gordon Huang, Ph.D., M.ASCE [email protected]
Professor and Canada Research Chair, Faculty of Engineering and Applied Science, Univ. of Regina, Regina, SK, Canada S4S 0A2 (corresponding author). E-mail: [email protected]
Brian W. Baetz, Ph.D., M.ASCE
Professor and Chair, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada L8S 4L7.

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