Interval stochastic quadratic programming approach for municipal solid waste management

Journal of Environmental Engineering and Science

Volumn 7, Issue 6, 2008, Pages 569-579

  Guo, P ^a   Huang, G H ^a,b   Li, Y P ^c  

^a UNIVERSITY OF REGINA   (Canada)

^b NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^c PEKING UNIVERSITY   (China)

Author keywords

Chance constrained; Decision making; Environment; Interval analysis; Quadratic programming; Solid waste; Uncertainty

Indexed keywords

COMPUTER PROGRAMMING; COSTS; DECISION MAKING; ECONOMICS; PROBABILITY; PROBABILITY DISTRIBUTIONS; QUADRATIC PROGRAMMING; RISK ANALYSIS; RISK ASSESSMENT; SOLID WASTES; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS; WASTE DISPOSAL; WASTE MANAGEMENT;

CHANCE-CONSTRAINED; CHANCE-CONSTRAINED PROGRAMMING; ENVIRONMENT; INTERVAL ANALYSIS; MULTIPLE-TIME PERIODS; MUNICIPAL SOLID WASTE (MSW); QUADRATIC PROGRAMMING METHOD; UNCERTAINTY;

MUNICIPAL SOLID WASTE;

EID: 55849133326     PISSN: 14962551     EISSN: None     Source Type: Journal    
DOI: 10.1139/S08-029     Document Type: Article

References (30)

1. Box, G.E.P., Hunter, W.G., and Hunter, J.S. 1978. Statistics for Experimenters. Wiley, New York.
2. Canestrelli, E., and Giove, S. 1991. Optimizing a quadratic function with fuzzy linear coefficients. Control Cybernet. 20: 25-44.
3. Chakraborty, D. 2002. Redefining chance-constrained programming in fuzzy environment. Fuzzy Sets Syst. 125: 327-333. doi:10.1016/S0165-0114(00) 00133-0.
4. Chang, Y.C., Chen, S.S., Su, S.F., and Lee, T.T. 2004 Static output feedback stabilization for nonlinear interval time-delay systems via fuzzy control approach. Fuzzy Sets Syst. 148: 395-410. doi:10.1016/j.fss.2004. 02.001.
5. Charnes, A., Cooper, W.W., and Kirby, P. 1972. Chance constrained programming: an extension of statistical method. In Optimizing Methods in Statistics. Academic Press, New York. pp. 391-402.
6. Charnes, A., and Cooper, W.W. 1983. Response to decision problems under risk and chance constrained programming: dilemmas in the transitions. Manage. Sci. 29: 750-753.
7. Chen, M.J., and Huang, G.H. 2001. A derivative algorithm for inexact quadratic program-application to environmental decision-making under uncertainty. Eur. J. Oper. Res. 128: 570-586. doi:10.1016/S0377-2217(99) 00374-4.
8. Cooper, W.W., Deng, H., Huang, Z., and Li, S.X. 2004. Chance constrained programming approaches to congestion in stochastic data envelopment analysis. Eur. J. Oper. Res. 155: 487-501. doi:10.1016/S0377-2217(02)00901-3.
9. Eiger, G., and Shamir, U. 1991. Optimal operation of reservoirs by stochastic programming. Eng. Optim. 17: 293-312. doi:10.1080/ 03052159108941077.
10. Huang, G.H. 1994. Grey mathematical programming and its application to municipal solid waste management planning, Ph.D. Dissertation, Department of Civil Engineering, McMaster University, Ont.
11. Huang, G.H. 1998. A hybrid inexact-stochustic water management model. Eur. J. Oper. Res. 107: 137-158. doi:10.1016/S03772217(97)00144-6.
12. Huang, G.H., and Chang. N.B. 2003. The perspectives of environmental informatics and systems analysis. J. Environ. Informat. 1: 1-6. doi:10.3808/jei.200300001.
13. Huang, G.H., Baetz, B.W., and Party, G.G. 1992. A grey linear programming approach for municipal solid waste management planning under uncertainty. Civ. Eng. Syst. 9: 319-335. doi:10.1080/02630259208970657.
14. Huang, G.H., Baetz, B.W., and Party, G.G. 1994a. Waste flow allocation planning through a grey fuzzy quadratic programming approach. Civ. Eng. Syst. 11: 209-243. doi:10.1080/02630259408970147.
15. Huang, G.H., Baetz, B.W., and Party, G.G. 1994b. Grey chance-constrained programming: application to regional solid waste management planning. Stoch. Stat. Meth. Hydrol. Environ. Eng. 4: 267-280.
16. Huang, G.H., Baetz, B.W., and Party, G.G. 1995. Grey quadratic programming and its application to municipal waste management planning under uncertainty. Eng. Optim. 23: 201-223. doi :10.1080/03052159508941354.
17. Huang, G.H., Sea-Lim, N., Liu, L., and Chen, Z. 2001. An interval-parameter fuzzy-stochastic programming approach for municipal solid waste management and planning. Environ. Model. Assess. 6: 271-283. doi:.10.1023/A:10133941.18863.
18. Kuhn, H.W., and Tucker, A.W. 1951. Nonlinear programming. In Proceedings of the 2nd Berkeley Symposium on Mathematical. Statistics and Probability, University of California Press, Berkeley, Calif. Edited by J. Neyman. pp. 481-492.
19. 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. Recycling, 49: 284-307. doi:10.1016/j.resconrec.2006.03. 017.
20. Liu, B., and Iwamura, K. 1998. Chance constrained programming with fuzzy parameters. Fuzzy Sets Syst. 94: 227-237. doi:10.1016/S0165-0114(96) 00236-9.
21. Mohammed, W. 2000. Chance constrained fuzzy goal programming with right-hand side uniform random variable coefficients. Fuzzy Sets Syst. 109: 107-110. doi: 10.1016/S0165-0114(98) 00151-1.
22. Myung, H.C., Bien, Z.Z., and Hirota, K. 2001. Hybrid rule interval variation (HRIV) method for stabilizing a class of nonlinear systems. J. Intell. Fuzzy Syst. Appl. Eng. Technol. 10: 57-73.
23. Roubens, M., and Teghem, J. 1991. Comparison of methodologies for fuzzy and stochastic multi-objective programming. Fuzzy Sets Syst. 42: 119-132. doi:10.1016/0165-0114(91)90093-6.
24. Shil'man, S.V. 1992. Stochastic quasigradient method for quadratic optimization under dependent observations. Autom. Remote Control, 53: 1881-1896.
25. Tang, J., and Wang, D. 1997. An interactive approach based on a genetic algorithm for a type of quadratic programming problems with fuzzy objective and resources. Comput. Oper. Res. 24: 413-429. doi: 10.1016/S0305-0548(96) 00059-7.
26. Thuesen, G.J., and Fabrycky, W.J. 1989. Engineering Economy. Prentice-Hall, Englewood Cliffs, NJ.
27. Thoai, N.V. 1998. Global optimization techniques for solving the general quadratic integer programming problem. Comput. Optim. Appl. 10: 149-161. doi:10.1023/A:1018364802456.
28. Wilson, D.C. 1985. Long term planning for solid waste planning. Waste Manag. Res. 3: 203-216. doi:10.1016/0734-242X(85) 90111-9.
29. Xia, Y. 1996. A new neural network for solving linear and quadratic programming problems. IEEE Trans. Neural Netw. 7: 15441561. dol:10.1109/72.548188. PMID:18263554.
30. Yang, N., and Wen, F. 2005. A chance constrained programming approach to transmission system expansion planning. Electr. Power Syst. Res. 75: 171-177. doi:10.1016/j.epsr.2005.02.002.