A Factorial Dual-Interval Programming Approach for Planning Municipal Waste Management Systems
Publication: Journal of Environmental Engineering
Volume 142, Issue 8
Abstract
In this study, a factorial dual-interval programming (FDIP) approach is proposed through integrating factorial analysis and dual-interval linear programming into a general framework. The developed FDIP approach can handle uncertainties (i.e., single-interval and dual-interval) that exist in the left-hand side and right-hand side of the system objective function and in the associated constraints. Moreover, it has the advantages in identifying significant parameters along with their joint effects on the system outputs. A case study of municipal solid waste (MSW) management is adopted to demonstrate the applicability of the proposed approach. Reasonable results have been generated for the waste flow allocation schemes with minimized system costs; impact factors and their interactive effects have been identified and analyzed for the lower bound and upper bound of the system outputs under various scenarios. It is indicated that the effect of operational costs of the waste-to-energy (WTE) facility during the first period is most influential and positive to the system costs; such operation costs have a slightly larger effect on the lower bound of the system costs than that on the upper bound of the system costs, providing valuable information when it comes to decision making.
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 Innovation Research Team in University (IRT1127) and the Natural Science and Engineering Research Council of Canada.
References
Box, G. E. P., Hunter, W. G., and Hunter, J. S. (1978). Statistics for experimenters: An introduction to design, data analysis, and model building, Wiley, New York.
Chanas, S., and Zielinski, P. (2000). “On the equivalence of two optimization methods for fuzzy linear programming problems.” Eur. J. Oper. Res., 121(1), 56–63.
Chang, N. B., and Wang, S. F. (1996). “Solid waste management system analysis by multiobjective mixed integer programming model.” J. Environ. Manage., 48(1), 17–43.
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(2), 303–321.
Chen, X. J., Huang, G. H., Suo, M. Q., Zhu, H., and Dong, C. (2014). “An inexact inventory-theory-based chance-constrained programming model for solid waste management.” Stochastic Environ. Res. Risk Assess., 28(8), 1939–1955.
Dasgupta, A., Pecht, M. G., and Mathieu, B. (1998). “Design-of-experiment methods for computational parametric studies in electronic packaging.” Finite Elem. Anal. Des., 30(1–2), 125–146.
Ekmekcioglu, M., Kaya, T., and Kahraman, C. (2010). “Fuzzy multicriteria disposal method and site selection for municipal solid waste.” Waste Manage., 30(8–9), 1729–1736.
Fu, D. Z., Li, Y. P., and Huang, G. H. (2013). “A factorial-based dynamic analysis method for reservoir operation under fuzzy-stochastic uncertainties.” Water Resour. Manage., 27(13), 4591–4610.
Hambli, R. (2002). “Design of experiment based analysis for sheet metal blanking processes optimisation.” Int. J. Adv. Manuf. Technol., 19(6), 403–410.
Huang, G. H., Baetz, B. W., and Patry, G. G. (1992). “A gray linear-programming approach for municipal solid-waste management planning under uncertainty.” Civ. Eng. Syst., 9(4), 319–335.
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., and Chang, N. B. (2003). “Perspectives of environmental informatics and systems analysis.” J. Environ. Inf., 1(1), 1–7.
Jaccard, J. (1998). Interaction effects in factorial analysis of variance, Sage, Thousand Oaks, CA, 07–118.
Joslyn, C. (2003). “Multi-interval elicitation of random intervals for engineering reliability analysis.” Isuma 2003: 4th Int. Symp. on Uncertainty Modeling and Analysis, IEEE, New York, 168–173.
Kalil, S. J., Maugeri, F., and Rodrigues, M. I. (2000). “Response surface analysis and simulation as a tool for bioprocess design and optimization.” Process Biochem., 35(6), 539–550.
Kim, N. H., Choi, M. H., Kim, S. Y., and Chang, E. G. (2006). “Design of experiment (DOE) method considering interaction effect of process parameters for optimization of copper chemical mechanical polishing (CMP) process.” Microelectron. Eng., 83(3), 506–512.
Li, P., and Chen, B. (2011). “FSILP: Fuzzy-stochastic-interval linear programming for supporting municipal solid waste management.” J. Environ. Manage., 92(4), 1198–1209.
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, Y. P., Huang, G. H., Lu, H. W., and He, L. (2008a). “A simulation-aided factorial analysis approach for characterizing interactive effects of system factors on composting processes.” Sci. Total Environ., 402(2–3), 268–277.
Lin, Y. P., Huang, G. H., Lu, H. W., and He, L. (2008b). “Modeling of substrate degradation and oxygen consumption in waste composting processes.” Waste Manage., 28(8), 1375–1385.
Liu, Z. F., Huang, G. H., Liao, R. F., and He, L. (2009b). “DIPIT: Dual interval probabilistic integer programming for solid waste management.” J. Environ. Inf., 14(1), 66–73.
Liu, Z. F., Huang, G. H., Nie, X. H., and He, L. (2009a). “Dual-interval linear programming model and its application to solid waste management planning.” Environ. Eng. Sci., 26(6), 1033–1045.
Loh, N. H., Tam, S. C., and Miyazawa, S. (1989). “A study of the effects of ball-burnishing parameters on surface-roughness using factorial design.” J. Mech. Work. Technol., 18(1), 53–61.
Lu, H. W., Huang, G. H., He, L., and Zeng, G. M. (2009). “An inexact dynamic optimization model for municipal solid waste management in association with greenhouse gas emission control.” J. Environ. Manage., 90(1), 396–409.
Maqsood, M., 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.
Montegomery, D. C. (2001). Design and analysis of experiments, 5th Ed., Wiley, New York.
Montegomery, D. C., and Runger, G. C. (2011). Applied statistics and probability for engineers, 6th Ed., Wiley, New York.
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), 1–11.
Onsekizoglu, P., Bahceci, K. S., and Acar, J. (2010). “The use of factorial design for modeling membrane distillation.” J. Membr. Sci., 349(1–2), 225–230.
Park, K., and Ahn, J. H. (2004). “Design of experiment considering two-way interactions and its application to injection molding processes with numerical analysis.” J. Mater. Process. Technol., 146(2), 221–227.
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.
Rekow, E. D., Harsono, M., Janal, M., Thompson, V. P., and Zhang, G. M. (2006). “Factorial analysis of variables influencing stress in all-ceramic crowns.” Dent. Mater., 22(2), 125–132.
Stat-Ease [Computer software]. Minneapolis, Design Expert.
Thompson, S., and Tanapat, S. (2005). “Modeling waste management options for greenhouse gas reduction.” J. Environ. Inf., 6(1), 16–24.
Viviani, M., Lemaitre, J., Buscaglia, M. T., and Nanni, P. (2000). “Low-temperature aqueous synthesis (LTAS) of BaTiO3: A statistical design of experiment approach.” J. Eur. Ceram. Soc., 20(3), 315–320.
Wahdame, B., Candusso, D., Francois, X., Harel, F., Kauffmann, J. M., and Coquery, G. (2009). “Design of experiment techniques for fuel cell characterisation and development.” Int. J. Hydrogen Energy, 34(2), 967–980.
Wang, S., and Huang, G. H. (2013). “A coupled factorial-analysis-based interval programming approach and its application to air quality management.” J. Air Waste Manage. Assoc., 63(2), 179–189.
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 Yang, B. T. (2012). “An interval-valued fuzzy-stochastic programming approach and its application to municipal solid waste management.” Environ. Modell. Software, 29(1), 24–36.
Yeomans, J. S., Huang, G. H., and Yoogalingam, R. (2003). “Combining simulation with evolutionary algorithms for optimal planning under uncertainty: An application to municipal solid waste management planning in the regional municipality of Hamilton-Wentworth.” J. Environ. Inf., 2(1), 11–30.
Zeng, Y., and Trauth, K. M. (2005). “Internet-based fuzzy multicriteria decision support system for planning integrated solid waste management.” J. Environ. Inf., 6(1), 1–15.
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, 41(3), 559–573.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 142 • Issue 8 • August 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 19, 2014
Accepted: Nov 25, 2015
Published online: Feb 25, 2016
Discussion open until: Jul 25, 2016
Published in print: Aug 1, 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.