IFRP: A hybrid interval-parameter fuzzy robust programming approach for waste management planning under uncertainty

Journal of Environmental Management

Volumn 84, Issue 1, 2007, Pages 1-11

  Nie, X H ^a,b   Huang, G H ^a,b   Li, Y P ^b   Liu, L ^c  

^a NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^b UNIVERSITY OF REGINA   (Canada)

^c DALHOUSIE UNIVERSITY   (Canada)

Author keywords

Decision support; Environment; Fuzzy; Interval; Management; Optimization; Robust; Solid waste; Uncertainty

Indexed keywords

DECISION SUPPORT SYSTEMS; LINEAR PROGRAMMING; MEMBERSHIP FUNCTIONS; MUNICIPAL SOLID WASTE; UNCERTAINTY ANALYSIS; WASTE MANAGEMENT;

DECISION SUPPORTS; ENVIRONMENT; FUZZY; FUZZY ROBUST PROGRAMMING; INTERVAL; INTERVAL PARAMETER; OPTIMISATIONS; PROGRAMMING MODELS; ROBUST; UNCERTAINTY;

SYSTEM STABILITY;

FUZZY MATHEMATICS; LINEAR PROGRAMING; SOLID WASTE; WASTE MANAGEMENT;

ARTICLE; COST CONTROL; ENVIRONMENTAL PLANNING; FUZZY SYSTEM; LANDFILL; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MUNICIPAL SOLID WASTE; PROCESS OPTIMIZATION; PROSPECTIVE PAYMENT; SOLID WASTE MANAGEMENT; SYSTEM ANALYSIS; UNCERTAINTY; WASTE DISPOSAL;

EID: 33947312158     PISSN: 03014797     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jenvman.2006.04.006     Document Type: Article

References (45)

1. Arey M.J., and Baetz B.W. Simulation modelling for the sizing of solid waste receiving facilities. Canadian Journal of Civil Engineering 20 (1993) 220-227
2. Ben-Tal A., and Nemirovski A. Stable truss topology design via semidefinite programming. SIAM Journal on Optimization 7 (1997) 991-1016
3. Ben-Tal A., and Nemirovski A. Robust convex optimization. Mathematics of Operations Research 23 (1998)
4. Ben-Tal A., and Nemirovski A. Robust solutions to uncertain linear programs. Operational Research Letters 25 (1999) 1-13
5. Ben-Tal A., and Nemirovski A. Robust optimization-methodology and applications. Mathematical Programming, Series B 92 (2002) 453-480
6. Ben-Tal A., El Ghaoui L., and Nemirovski A. Robust semidefinite programming. In: Wolkowicz H., Saigal R., and Vandenberghe L. (Eds). Handbook on Semidefinite Programming (2000), Kluwer Academic Publishers, Dordrecht
7. Chanas S., and Zielinski P. On the equivalence of two optimization methods for fuzzy linear programming problems. European Journal of Operational Research 121 1 (2000) 56-63
8. Chang N.-B., and Lu H.Y. A new approach for long-term planning of solid waste management system using fuzzy global criterion. Journal of Environmental Science and Health-A 32 4 (1997) 1025-1047
9. Chang N.-B., and Wang S.F. A fuzzy goal programming approach for the optimal planning of metropolitan solid waste management systems. Journal of Operation Research 32 4 (1997) 303-321
10. Chi, G.F., Huang, G.H., 1998. Long-term planning of integrated solid waste management system under uncertainty. University of Regina Report submitted to the City of Regina, Saskatchewan, Canada.
11. Dubois D., and Prade H. Operations on fuzzy number. International Journal of Systems Science 9 (1978) 613-626
12. Dubois D., and Prade H. Possibility Theory-An Approach to the Computerized Processing of Uncertainty (1988), Plenum Press, New York
13. Dubois D., and Prade H. A synthetic view of belief revision with uncertain inputs in the framework of possibility theory. International Journal of Approximate Reasoning 17 2-3 (1999) 295-306
14. Dubois D., and Prade H. On fuzzy interpolation. International Journal of General Systems 28 2 (1999) 103-112
15. Dubois D., and Prade H. Qualitative possibility theory and its applications to constraint satisfaction and decision under uncertainty. International Journal of Intelligent Systems 14 1 (1999) 45-53
16. Dupacova J. Reflections on robust optimization. Lecture Notes in Economics and Mathematical Systems 458 (1998) 111-127
17. El Ghaoui L., and Lebret H. Robust solutions to least-square problems with uncertain data matrices. SIAM Journal of Matrix Analysis and Applications 18 (1997) 1035-1064
18. El Ghaoui L., and Seigneuret F. Robust optimization methodologies for the free route concept. Proceedings of The American Control Conference (1998) 1797-1799
19. El Ghaoui L., Oustry F., and Lebret H. Robust solutions to uncertain semidefinite programs. SIAM Journal on Optimization 9 (1998) 33-52
20. Huang G.H., and Chang N.B. The perspectives of environmental informatics and systems analysis. Journal of Environmental Informatics 1 1 (2003) 1-7
21. Huang G.H., Baetz B.W., and Patry G.G. A grey linear programming approach for municipal solid waste management planning under uncertainty. Civil Engineering Systems 9 (1992) 319-335
22. Huang G.H., Baetz B.W., and Patry G.G. A grey fuzzy linear programming approach for municipal solid waste management planning under uncertainty. Civil Engineering Systems 10 (1993) 123-146
23. Huang G.H., Baetz B.W., and Patry G.G. Grey dynamic programming for solid waste management planning under uncertainty. Journal of Urban Planning and Development 120 3 (1994) 132-156
24. Huang G.H., Baetz B.W., and Patry G.G. Grey chance-constrained programming: application to regional solid waste management planning. In: Hipel K.W., and Fang L. (Eds). Effective Environmental Management for Sustainable Development (1994), Kluwer Academic Publishers, Dordrecht, The Netherlands 267-280
25. Huang G.H., Baetz B.W., and Patry G.G. Grey quadratic programming and its application to municipal solid waste management planning under uncertainty. Engineering Optimization 23 (1995) 201-223
26. Huang G.H., Baetz B.W., and Patry G.G. Grey integer programming: an application to waste management planning under uncertainty. European Journal of Operational Research 83 (1995) 594-620
27. Huang G.H., Sae-Lim N., Liu L., and Chen Z. An interval-parameter fuzzy-stochastic programming approach for municipal solid waste management and planning. Envionmental Modeling and Assessment 6 (2001) 271-283
28. Inuiguchi M., and Sakawa M. Robust optimization under softness in a fuzzy linear programming problem. International Journal of Approximate Reasoning 18 (1998) 21-34
29. Inuiguchi M., Ichihashi H., and Tanaka H. Fuzzy programming: a survey of recent developments. In: Slowinski R., and Teghem J. (Eds). Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty (1990), Kluwer Academic Publishers, Dordrecht, The Netherlands 45-70
30. Kunjur A., and Krishnamurty S. A robust multi-criteria optimization approach. Mechanism and Machine Theory 32 7 (1997) 797-810
31. Lee Y.W., Bogardi I., and Stansbury J. Fuzzy decision making in dredged-material management. Journal of Environmental Engineering ASCE 117 2 (1991) 614-628
32. Leung Y. Spatial Analysis and Planning Under Imprecision (Studies in Regional Science and Urban Economics) (1988), Elsevier Science Publishers, Amsterdam, The Netherlands
33. Li J.B. Integration of Stochastic Programming and Factorial Design for Optimal Reservoir Operation. Journal of Environmental Informatics 1 2 (2003) 12-17
34. Liu L., Huang G.H., Liu Y., and Fuller G.A. A fuzzy-stochastic, robust programming model for regional air quality management under uncertainty. Engineering Optimization 35 2 (2003) 177-199
35. Luhandjula M.K., and Gupta M.M. On fuzzy stochastic optimization. Fuzzy Sets and Systems 81 (1996) 47-55
36. Luo B., Maqsood I., Yin Y.Y., Huang G.H., and Cohen S.J. Adaption to climate change through water trading under uncertainty-an inexact two-stage nonlinear programming approach. Journal of Environmental Informatics 2 2 (2003) 58-68
37. Maqsood I., and Huang G.H. A two-stage interval-stochastic programming model for waste management under uncertainty. Journal of the Air and Waste Management Association 53 (2003) 540-552
38. Negoita C.V., Minoiu S., and Stan E. On considering imprecision in dynamic linear programming. Economic Computation and Economic Cybernetics Studies and Research 3 (1976) 83-96
39. Soyster A.L. Convex programming with set-inclusive constraints: applications to inexact linear programming. Operations Research 21 (1973) 1154-1157
40. Vassiadou-Zeniou C., and Zenios S.A. Robust optimization models for managing callable bond portfolios. European Journal of Operational Research 91 (1996) 264-273
41. Wilson D.C. Long term planning for solid waste planning. Waste Management and Research 3 (1985) 203-216
42. Yeomans J.S., and Huang G.H. An evolutionary grey, hop, skip, and jump approach: generating alternative policies for the expansion of waste management. Journal of Environmental Informatics 1 1 (2003) 37-51
43. Yeomans J.S., Huang G.H., and Yoogalingam R. 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. Journal of Environmental Informatics 2 1 (2003) 11-30
44. Zadeh L.A. Fuzzy sets. Information and Control 8 (1965)
45. Zou R., Lung W.S., Guo H.C., and Huang G.H. Independent variable controlled grey fuzzy linear programming approach for waste flow allocation planning. Engineering Optimization 33 1 (2000) 87-111