Two-Stage Fractional Programming Method for Managing Multiobjective Waste Management Systems
Publication: Journal of Environmental Engineering
Volume 142, Issue 5
Abstract
In this study, a two-stage fractional programming (TSFP) method is developed for supporting municipal solid waste (MSW) management under uncertainty. The model can not only balance two conflicting objectives through converting a multiobjective problem into a ratio one, but also can analyze multistage decision effects when promised policy targets are violated. Moreover, the TSFP model can facilitate dynamic analysis of capacity expansions for waste management facilities. The developed method is applied to a case study of long-term MSW management planning. The solutions obtained from TSFP can provide desired waste-allocation schemes and capacity-expansion plans under different policy scenarios. The results allow in-depth analyses in terms of conflicting objectives, policy scenarios, and capacity expansions.
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 Program for Innovative Research Team in University (IRT1127), the 111 Project (B14008) and the Natural Science and Engineering Research Council of Canada.
References
Ahluwalia, P. K., and Nema, A. K. (2006). “Multi-objective reverse logistics model for integrated computer waste management.” Waste Manage. Res., 24(6), 514–527.
Baetz, B. W. (1990). “Capacity planning for waste management systems.” Civ. Eng. Syst., 7(4), 229–235.
Birge, J. R., and Louveaux, F. (2011). Introduction to stochastic programming, Springer, New York.
Birge, J. R., and Louveaux, F. V. (1988). “A multicut algorithm for two-stage stochastic linear programs.” Eur. J. Oper. Res., 34(3), 384–392.
Charnes, A., and Cooper, W. W. (1962). “Programming with linear fractional functionals.” Naval Res. Logist. Q., 9(3-4), 181–186.
Charnes, A., Cooper, W. W., and Rhodes, E. (1978). “Measuring the efficiency of decision making units.” Eur. J. Oper. Res., 2(6), 429–444.
Coudert, L., et al. (2013). “Optimization of copper removal from ACQ-, CA-, and MCQ-treated wood using an experimental design methodology.” J. Environ. Eng., 576–587.
Gómez, T., Hernández, M., León, 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.
He, L., Huang, G., Zeng, G., and Lu, H. (2008). “Fuzzy inexact mixed-integer semiinfinite programming for municipal solid waste management planning.” J. Environ. Eng., 572–581.
Huang, G. H., Baetz, B. W., and Patry, G. G. (1993). “A grey fuzzy linear programming approach for municipal solid waste management planning under uncertainty.” Civ. Eng. Syst., 10(2), 123–146.
Huang, G. H., Baetz, B. W., and Patry, G. G. (1995). “Grey integer programming: An application to waste management planning under uncertainty.” Eur. J. Oper. Res., 83(3), 594–620.
Huang, G. H., Baetz, B. W., Patry, G. G., and Terluk, V. (1997). “Capacity planning for an integrated waste management system under uncertainty: A North American case study.” Waste Manage. Res., 15(5), 523–546.
Huang, G. H., and Chang, N. B. (2003). “The perspectives of environmental informatics and systems analysis.” J. Environ. Inform., 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, W., Dai, L. M., Baetz, B. W., Cao, M. F., and Razavi, S. (2013). “Interval binary programming for noise control within an urban environment.” J. Environ. Inform., 21(2), 93–101.
Li, Y. P., Huang, G. H., and Baetz, B. W. (2006a). “Environmental management under uncertainty-an internal-parameter two-stage chance-constrained mixed integer linear programming method.” Environ. Eng. Sci., 23(5), 761–779.
Li, Y. P., Huang, G. H., Nie, S. L., and Huang, Y. F. (2006b). “IFTSIP: Interval fuzzy two-stage stochastic mixed-integer linear programming: A case study for environmental management and planning.” Civ. Eng. Environ. Syst., 23(2), 73–99.
Li, Y. P., Huang, G. H., Nie, S. L., and Qin, X. S. (2007). “ITCLP: An inexact two-stage chance-constrained program for planning waste management systems.” Resour. Conserv. Recy., 49(3), 284–307.
Li, Y. P., Huang, G. H., Nie, X. H., and Nie, S. L. (2008a). “A two-stage fuzzy robust integer programming approach for capacity planning of environmental management systems.” Eur. J. Operat. Res., 189(2), 399–420.
Li, Y. P., Huang, G. H., Nie, X. H., and Nie, S. L. (2008b). “An inexact fuzzy-robust two-stage programming model for managing sulfur dioxide abatement under uncertainty.” Environ. Model. Assess., 13(1), 77–91.
Li, Y. P., Huang, G. H., Yang, Z. F., and Nie, S. L. (2008c). “An integrated two-stage optimization model for the development of long-term waste-management strategies.” Sci. Total Environ., 392(2), 175–186.
Luo, B., Maqsood, I., Yin, Y. Y., Huang, G. H., and Cohen, S. J. (2003). “Adaption to climate change through water trading under uncertaintyAn inexact two-stage nonlinear programming approach.” J. Environ. Inform., 2(2), 58–68.
Maqsood, I., and Huang, G. H. (2003). “A two-stage interval-stochastic programming model for waste management under uncertainty.” J. Air Waste Manage. Assoc., 53(5), 540–552.
Maqsood, I., Huang, G. H., and Zeng, G. M. (2004). “An inexact two-stage mixed integer linear programming model for waste management under uncertainty.” Civ. Eng. Environ. Syst., 21(3), 187–206.
Mauter, M., and Palmer, V. (2014). “Expert elicitation of trends in marcellus oil and gas wastewater management.” J. Environ. Eng., B4014004.
Mehra, A., Chandra, S., and Bector, C. R. (2007). “Acceptable optimality in linear fractional programming with fuzzy coefficients.” Fuzzy Optim. Decis. Making, 6(1), 5–16.
Minciardi, R., Paolucci, M., Robba, M., and Sacile, R. (2008). “Multi-objective optimization of solid waste flows: Environmentally sustainable strategies for municipalities.” Waste Manage., 28(11), 2202–2212.
Petersen, C., Rifai, H., Villarreal, G., and Stein, R. (2011). “Modeling escherichia coli and its sources in an urban bayou with hydrologic simulation program—FORTRAN.” J. Environ. Eng., 487–503.
Santibanez-Aguilar, J. E., Ponce-Ortega, J. M., Gonzalez-Campos, J. B., Serna-Gonzalez, M., and El-Halwagi, M. M. (2013). “Optimal planning for the sustainable utilization of municipal solid waste.” Waste Manage., 33(12), 2607–2622.
Schaible, S., and Ibaraki, T. (1983). “Fractional programming.” Eur. J. Oper. Res., 12(4), 325–338.
Srivastava, A., and Nema, A. (2011). “Fuzzy parametric programming model for integrated solid waste management under uncertainty.” J. Environ. Eng., 69–83.
Stancu-Minasian, I. M. (1997). Fractional programming, Springer, Netherlands.
Stancu-Minasian, I. M. (1999). “A fifth bibliography of fractional programming*.” Optimization, 45(1-4), 343–367.
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.
Yeomans, J. S., and Huang, G. H. (2003). “An evolutionary grey, hop, skip, and jump approach: Generating alternative policies for the expansion of waste management facilities.” J. Environ. Inform., 1(1), 37–51.
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., Huang, W. W., and Huang, G. H. (2014). “Planning of regional energy systems: An inexact mixed-integer fractional programming model.” Appl. Energy, 113(2014), 500–514.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 142 • Issue 5 • May 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Nov 13, 2014
Accepted: Nov 23, 2015
Published online: Jan 12, 2016
Published in print: May 1, 2016
Discussion open until: Jun 12, 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.