TECHNICAL PAPERS
Jul 5, 2010

Fuzzy Parametric Programming Model for Integrated Solid Waste Management under Uncertainty

Publication: Journal of Environmental Engineering
Volume 137, Issue 1

Abstract

Solid waste management (SWM) is increasingly becoming a challenging task for the municipal authorities due to increasing waste quantities, changing waste composition, decreasing land availability for waste disposal sites, and increasing awareness about the associated environmental risk. This paper presents a fuzzy parametric programming model for the selection of the treatment and disposal facilities and optimum capacity planning and waste allocation under uncertainty associated with the long-term planning for SWM. The model dynamically locates the facilities and allocates the waste considering fuzzy waste quantities and capacities of waste-management facility in a multiperiod planning for integrated SWM. The model addresses uncertainty in waste quantity as well as uncertainties in the operating capacities of waste-management facilities. An example problem has been presented to demonstrate the usefulness of the proposed model in making the planning decisions related to SWM and achieving an efficient plan. The model is solved at different levels of membership function for the alternative solutions with respect to objective. The example problem reveals that the uncertainty in the waste quantity is likely to affect the planning for waste treatment/disposal facilities more as compared with the uncertainty in the capacities of the waste-management facilities. The relationship between increase in waste quantity and increase in the total cost involved in waste management is found to be nonlinear. The modeling results are useful for generating a range of decision alternatives under various economic conditions. They are valuable for analyzing the existing waste-management practices, the long-term capacity planning for the city’s waste-management system, and the identification of desired policies regarding waste generation and management.

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References

Agarwal, A., Singhmar, A., Kulshrestha, M., and Mittal, A. K. (2005). “Municipal solid waste recycling and associated markets in Delhi, India.” Resour. Conserv. Recycl., 44, 73–90.
Averbakh, I. (2000). “Minmax regret solutions for minimax optimization problems with uncertainty.” Oper. Res. Lett., 27(2), 57–65.
Beigl, P., Lebersorger, S., and Salhofer, S. (2008). “Modelling of municipal solid waste generation: A review.” Waste Manage., 28(1), 200–214.
Bellman, R. E., and Zadeh, L. A. (1970). “Decision making in a fuzzy environment.” Manage. Sci., 17, B141–B164.
Carlson, M. F., Tavares, H. M. F., and Formigoni, J. R. F. (1998). “Parametric mixed linear programming with fuzzy numbers and an application to telecommunications networks planning.” Telecommunications Symposium, ITS '98 Proc., SBT/IEEE Int., Vol. 1, IEEE, New York, 323–328.
Chanas, S. (1983). “The use of fuzzy parametric programming in fuzzy linear programming.” Fuzzy Sets Syst., 11, 229–241.
Chang, N. B., Chen, Y. L., and Wang, S. F. (1997). “A fuzzy interval multi-objective mixed integer programming approach for the optimal planning of solid waste management systems.” Fuzzy Sets Syst., 89, 35–60.
Chang, N. B., and Davila, E. (2006). “Siting and routing assessment for solid waste management under uncertainty using the grey mini-max regret criterion.” Environ. Manage. (N.Y.), 38, 654–672.
Chang, N. B., and Davila, E. (2007). “Minimax regret optimization analysis for a regional solid waste management system.” Waste Manage., 27(6), 820–832.
Chang, N. B., and Wang, S. F. (1997). “A fuzzy goal programming approach for the optimal planning of metropolitan solid waste management systems.” Eur. J. Oper. Res., 99, 303–321.
Cheng, S., Chan, C. W., and Huang, G. H. (2003). “An integrated multi-criteria decision analysis and inexact mixed integer linear programming approach for solid waste management.” Eng. Applic. Artif. Intell., 16(5–6), 543–554.
CPHEEO. (2000). Ministry of urban development, Government of India, New Delhi, India.
Fung, R. Y. K., Tang, J., and Wang, D. (2003). “Multiproduct aggregate production planning with fuzzy demands and fuzzy capacities.” IEEE Trans. Syst. Man Cybern., Part A. Syst. Humans, 33(3), 302–313.
Guo, P., Huang, G. H., and He, L. (2008a). “ISMISIP: An inexact stochastic mixed integer linear semi-infinite programming approach for solid waste management and planning under uncertainty.” Stochastic Environ. Res. Risk Assess., 22, 759–775.
Guo, P., Huang, G. H., He, L., and Sun, B. W. (2008b). “ITSSIP: Interval-parameter two-stage stochastic semi-infinite programming for environmental management under uncertainty.” Environ. Modell. Software, 23, 1422–1437.
Guo, P., Huang, G. H., He, L., and Zhu, H. (2009). “Interval-parameter two-stage stochastic semi-infinite programming: Application to water resources management under uncertainty.” Water Resour. Manage., 23, 1001–1023.
He, L., and Huang, G. H. (2004). “An interval-parameter semiinfinite programming method for municipal solid waste management.” Technical Rep. Submitted to Environmental Informatics Laboratory, Univ. of Regina, Saskatchewan, Canada.
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., 134(7), 572–581.
Huang, G. H., Baetz, B. W., and Patry, G. G. (1994). “Grey dynamic programming for waste management planning under uncertainty.” J. Urban Plann. Dev., 120(3), 132–156.
Huang, G. H., Baetz, B. W., and Patry, G. G. (1995a). “Grey fuzzy integer programming: An application to regional waste management planning under uncertainty.” Socio-Econ. Plan. Sci., 29(1), 17–38.
Huang, G. H., Baetz, B. W., and Patry, G. G. (1995b). “Grey integer programming: An application to waste management planning under uncertainty.” Eur. J. Oper. Res., 83, 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, 523–546.
Huang, G. H., Chi, G. F., and Li, Y. P. (2005). “Long-term planning of an integrated solid waste management system under uncertainty—I. Model development.” Environ. Eng. Sci., 22(6), 823–834.
Li, Y. P., and Huang, G. H. (2006a). “An inexact two-stage mixed integer linear programming method for solid waste management in the City of Regina.” J. Environ. Manage., 81, 188–209.
Li, Y. P., and Huang, G. H. (2006b). “Minimax regret analysis for municipal solid waste management: An interval-stochastic programming approach.” J. Air Waste Manage. Assoc., 56(7), 931–944.
Li, Y. P., Huang, G. H., Nie, S. L., and Huang, Y. F. (2006). “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. Recycl., 49, 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. Oper. Res., 189, 399–420.
Li, Y. P., Huang, G. H., Yang, Z. F., and Nie, S. L. (2008b). “An integrated two-stage optimization model for the development of long-term waste management strategies.” Sci. Total Environ., 392, 175–186.
Liang, T. F. (2008). “Fuzzy multi-objective production/distribution planning decisions with multi-product and multi-time period in a supply chain.” Comput. Ind. Eng., 55, 676–694.
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.
Ministry of Nonconventional Energy Sources (MNES). (2006). “Preliminary information about Timarpur Incinerator.” ⟨http://mnes.nic.in/tender_notice/information.pdf⟩ (Dec. 26, 2006).
Nie, X. H., Huang, G. H., Li, Y. P., and Liu, L. (2007). “IFRP: A hybrid interval-parameter fuzzy robust programming approach for waste management planning under uncertainty.” J. Environ. Manage., 84, 1–11.
Pramanik, S., and Roy, T. K. (2008). “Multiobjective transportation model with fuzzy parameters: Priority based fuzzy goal programming approach.” Journal of Transportation Systems Engineering and Information Technology, 8(3), 40–48.
Sharholy, M., Ahmad, K., Mahmood, G., and Trivedi, R. C. (2008). “Municipal solid waste management in Indian cities—A review.” Waste Manage., 28, 459–467.
Zimmermann, H. J. (1987). Fuzzy sets, decision making and expert systems, Kluwer Academic Publishers, Boston.

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Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 137Issue 1January 2011
Pages: 69 - 83

History

Received: Feb 7, 2009
Accepted: Jun 30, 2010
Published online: Jul 5, 2010
Published in print: Jan 2011

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Authors

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Amitabh Kumar Srivastava [email protected]
Senior Lecturer, Bundelkhand Institute of Engineering and Technology, Kanpur Rd., Jhansi 284128, India (corresponding author). E-mail: [email protected]
Arvind K. Nema [email protected]
Associate Professor, Dept. of Civil Engineering, Indian Institute of Technology Delhi, Huaz Khas, New Delhi 110016, India. E-mail: [email protected]

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