Multiobjective Stochastic Fractional Goal Programming Model for Water Resources Optimal Allocation among Industries
Publication: Journal of Water Resources Planning and Management
Volume 142, Issue 10
Abstract
This paper developed a multiobjective stochastic fractional goal programming (MOSFGP) model for optimal water resources allocation among industries based on analyses of water resources quantity, quality, and uncertainty. The model integrated chance constrained programming, fractional programming, and multiobjective goal programming. The developed model was then applied in a real-world case study. The developed MOSFGP has the following advantages: (1) the model deals with economic and social objectives simultaneously, thus reflecting the actual situation more realistically; (2) the model in fractional form can determine water resources use efficiency directly; (3) water quantity and water quality are coupled in the model; and (4) the model can generate different optimal schemes under different risk probabilities. Based on the results of the MOSFGP model, decision makers could use water resources efficiently and obtain higher economic and social benefits. The model is also of great significance to industrial structure optimization, which means adjusting the industrial structures on the basis of optimal water resources allocation schemes to achieve the goal of economic planning and sustainable development.
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 Natural Science Foundation of China (No. 41271536, 51321001).
References
Ashoften, P. S., Haddad, O. B., and Loáiciga, H. A. (2015). “Evaluation of climate-change impacts on multiobjective reservoir operation with multiobjective genetic programming.” J. Water Resour. Plann. Manage., 04015030.
Bulter, C., and Adamowski, J. (2015). “Empowering marginalized communities in water resources management: Addressing inequitable practices in participatory model building.” J. Environ. Manage., 153, 153–162.
Caballero, R., and Hernández, M. (2006). “Restoration of efficiency in a goal programming problem with linear fractional criteria.” Eur. J. Oper. Res., 172(1), 31–39.
Chadha, S. S., and Chadha, V. (2007). “Linear fractional programming and duality.” CEJOR, 15(2), 119–125.
Chang, C. T. (2009). “A goal programming approach for fuzzy multi objective fractional programming problems.” Int. J. Syst. Sci., 40(8), 867–874.
Charnes, A., and Cooper, W. W. (1959). “Chance-constrained programming.” Manage. Sci., 6(1), 73–79.
Charnes, A., and Cooper, W. W. (1962). “Programming with linear fractional functions.” Naval Res. Logist. Quart., 9(3–4), 181–186.
Charnes, A., Cooper, W. W., and Kriby, P. (1972). “Chace constrained programming: an extension of statistical method.” Optimizing methods in statistics, Academic, New York, 391–402.
Chen, C. W., Wei, C. C., and Liu, H.-J. (2014). “Application of neural networks and optimization model in conjunctive use of surface water and groundwater.” Water Resour. Manage., 28(10), 2813–2832.
Chen, F., Huang, G., and Fan, Y. (2015). “Inexact multistage fuzzy-stochastic programming model for water resources management.” J. Water Resour. Plann. Manage., 04015027.
Fu, Y. H., Li, M., and Guo, P. (2014). “Optimal allocation of water resources model for different growth stages of crops under uncertainty.” J. Irrigation Drain. Eng., 05014003.
Gómez, T., Hernández, M., Len, M. A., and Caballero, R. (2006). “A forest planning problem solved via a linear fractional goal programming model.” Forest Ecol. Manage., 227(1–2), 79–88.
Gu, J. J., Guo, P., Huang, G. H., Shen, N. (2013). “Optimization of the industrial structure facing sustainable development in resource-based city subjected to water resources under uncertainty.” Stochastic Environ. Res. Risk A, 27(3), 659–673.
Guo, P., Huang, G. H., and Li, Y. P. (2008). “Interval stochastic quadratic programming approach for municipal solid waste management.” J. Environ. Eng. Sci., 7(6), 568–579.
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.
Haguma, D., et al. (2015). “Water resources optimization method in the context of climate change.” J. Water Resour. Plann. Manage., 04014051.
Han, M., et al. (2013). “Integrated approach to water allocation in river basins.” J. Water Resour. Plann. Manage., 159–165.
Hladik, M. (2010). “Generalized linear fractional programming under interval uncertainty.” Eur. J. Oper. Res., 205(1), 42–46.
Huang, G. H., Sae-Lim, N., Liu, L., and Chen, Z. (2001). “An interval-parameter fuzzy stochastic programming approach for municipal solid waste management and planning.” Environ. Modell. Assess., 6(4), 271–283.
Jadidi, O., Zolfaghari, S, and Cavalieri, S. (2014). “A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation.” Int. J. Prod. Econ., 148, 158–165.
Jenkins, M. W., et al. (2004). “Optimization of California’s water supply system: Results and insights.” J. Water Resour. Plann. Manage., 271–280.
Khare, D, Jat, M. K., and Sunder, J. (2007). “Assessment of water resources allocation options: Conjunctive use planning in a link canal command.” Resour. Conserv. Recycl., 51(2), 487–506.
Kondili, E, Kaldellis, J. K., and Papapostolou, C. (2010). “A novel systemic approach to water resources optimization in areas with limited water resources.” Desalination, 250(1), 297–301.
Lara, P., and Stancu-Minasian, I. (1999). “Fractional programming: A tool for the assessment of sustainability.” Agric. Syst., 62(2), 131–141.
Li, M., Guo, P., and Ren, C. H. (2015). “Water resources management models based on two-level linear fractional programming method under uncertainty.” J. Water Resour. Plann. Manage., 05015001.
Liu, B. D., and Chen, X. W. (2015). “Uncertain multiobjective programming and uncertain goal programming.” J. Uncertainty Anal. Appl, 3(1), 1–8.
Liu, S., Konstantopoulou, F., and Gikas, P. (2011). “A mixed integer optimization approach for integrated water resources management.” Comput. Chem. Eng., 35(5), 858–875.
Medrano, H, et al. (2015). “Improving water use efficiency of vineyards in semi-arid regions. A review.” Agron. Sustainable Dev., 35(2), 499–517.
Miller, B. L., and Wagner, H. W. (1965). “Chance constrained programming with joint constraints.” Oper. Res., 13(6), 930–945.
Monteith, J. L. (1990). “Can sustainability be quantified?” Indian J. Dryland Agric. Res. Dev., 5(1), 1–5.
Ren, C. H., Guo, P., Li, M., and Gu, J. J. (2013). “Optimization of industrial structure considering the uncertainty of water resources.” Water Resour. Mange., 27(11), 3885–3898.
Ren, C. H., Guo, P., Li, M., and Li, R. H. (2016). “An innovative method for water resources carrying capacity research—Metabolic theory of regional water resources.” J. Environ. Manage., 167C, 139–146.
Soltanjalili, M, Bozorg, H. O., and Mariño, M. (2013). “Operating water distribution networks during water shortage conditions using hedging and intermittent water supply concepts.” J. Water Resour. Plann. Manage., 644–659.
Stancu-Minasian, I. M., and Pop, B. (2003). “On a fuzzy set approach to solving multiple objective linear fractional programming problem.” Fuzzy Sets Syst., 134(3), 397–405.
Wei, X. Z. (2009). “Study of COD emission trading system about the surface water body.” Tianjing Univ., Tianjin, China (in Chinese).
WWDR (World Water Development Report). (2013). “United Nations educational scientific and cultural organization.” Marseilles, France.
Zare, Y., and Daneshmand, A. (1995). “A linear approximation method for solving a special class of the chance constrained programming problem.” Eur. J. Oper. Res., 80(1), 213–225.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Oct 12, 2015
Accepted: Mar 15, 2016
Published online: Jun 6, 2016
Published in print: Oct 1, 2016
Discussion open until: Nov 6, 2016
Authors
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.