An interval fuzzy robust nonlinear program for the planning of municipal solid waste management systems under uncertainty

References

• Arey , M. J. and Baetz , B. W. 1993 . Simulation modeling for the sizing of solid waste receiving facilities . Canadian Journal of Civil Engineering , 20 : 220 – 227 .
   Web of Science ®Google Scholar
• Baetz , B. W. 1988 . Capacity planning for production facilities and alternative facilities with consumable capacity: Application to waste management systems , USA : Duke University . Thesis (PhD)
   Google Scholar
• Baetz , B. W. 1990a . Capacity planning for waste management system . Civil Engineering and Environmental Systems , 7 : 229 – 235 .
   Web of Science ®Google Scholar
• Baetz , B. W. 1990b . Optimization/simulation modeling for waste management capacity planning . Journal of Urban Planning and Development , 116 ( 2 ) : 59 – 79 .
   Web of Science ®Google Scholar
• Chanas , S. and Zielinski , P. 2000 . On the equivalence of two optimization methods for fuzzy linear programming problems . European Journal of Operational Research , 121 ( 1 ) : 56 – 63 .
   Web of Science ®Google Scholar
• Chang , N. B. 1997 . Cost-effective and equitable workload operation in solid waste management systems . Journal of Environmental Engineering , 123 ( 2 ) : 178 – 176 .
   Web of Science ®Google Scholar
• Chang , N.-B. and Lu , H. Y. 1997 . 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 ) : 1025 – 1047 .
   Web of Science ®Google Scholar
• Chang , N. B. and Wang , S. F. 1997 . A fuzzy goal programming approach for the optimal planning of metropolitan solid waste management systems . Journal of Operational Research , 32 ( 4 ) : 303 – 321 .
   Web of Science ®Google Scholar
• Chapman , R. E. and Yakowitz , H. 1984 . Evaluating the risks of solid waste management programs: A suggested approach . Resources and Conservation , 11 ( 2 ) : 77 – 94 .
   Web of Science ®Google Scholar
• Chiplunker , F. G. 1981 . Optimization of refuse collection systems . Journal of Environmental Engineering , 107 : 1213 – 1244 .
   Web of Science ®Google Scholar
• Dubois , D. and Fortemps , P. 1999 . Computing improved optimal solutions to max–min flexible constraint satisfaction problems . European Journal of Intelligent Systems , 14 ( 1 ) : 45 – 53 .
   Web of Science ®Google Scholar
• Dubois , D. and Prade , H. 1978 . Operations on fuzzy number . International Journal of System Science , 9 : 613 – 626 .
   Web of Science ®Google Scholar
• Dubois , D. and Prade , H. 1988 . Possibility theory—An approach to the computerized processing of uncertainty , New York : Plenum Press .
   Google Scholar
• Dubois , D. and Prade , H. 1999a . A synthetic view of belief revision with uncertain inputs in the framework of possibility theory . International Journal of Approximate Reasoning , 17 ( 2–3 ) : 295 – 306 .
   Web of Science ®Google Scholar
• Dubois , D. and Prade , H. 1999b . On fuzzy interpolation . International Journal of Approximate Reasoning , 17 ( 2–3 ) : 295 – 306 .
   Web of Science ®Google Scholar
• Dubois , D. and Prade , H. 1999c . Qualitative possibility theory and its applications to constraint satisfaction and decision under uncertainty . International Journal of Intelligence Systems , 14 ( 1 ) : 45 – 53 .
   Web of Science ®Google Scholar
• Dupacova , J. 1998 . Reflections on rubust optimization . Lecture Notes in Economics and Mathematical Systems , 458 : 111 – 127 .
   Google Scholar
• ElGhaoui , L. and Seigneuret , F. Robust optimization methodologies for the free route concept. In: . Proceedings of The American Control Conference . June 24–26 1998 , Philadelphia, PA. pp. 1797 – 1799 .
   Google Scholar
• Guo , H. C. , Liu , L. and Huang , G. H. 2003 . A stochastic water quality forecasting system for the Yiluo River . Journal of Environmental Informatics , 1 ( 2 ) : 18 – 32 .
   Web of Science ®Google Scholar
• Huang , G. H. 1998 . A hybrid inexact-stochastic water management model . European Journal of Operational Research , 107 ( 1 ) : 137 – 158 .
   Web of Science ®Google Scholar
• Huang , G. H. , Baetz , B. W. and Patry , G. G. 1992 . A grey linear programming approach for municipal solid waste management planning under uncertainty . Civil Engineering and Environmental Systems , 9 : 319 – 335 .
   Web of Science ®Google Scholar
• 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 . Civil Engineering and Environmental Systems , 10 : 123 – 146 .
   Web of Science ®Google Scholar
• Huang , G. H. , Baetz , B. W. and Patry , G. G. 1994a . Grey dynamic programming for solid waste management planning under uncertainty . Journal of Urban Planning and Development , 120 ( 3 ) : 132 – 156 .
   Web of Science ®Google Scholar
• Huang , G. H. , Baetz , B. W. and Patry , G. G. 1994b . “ Grey chance-constrained programming: application to regional solid waste management planning ” . In Effective environmental management for sustainable development , Edited by: Hipel , K. W. and Fang , L. 267 – 280 . The Netherlands : Kluwer Academic Publishers .
   Google Scholar
• Huang , G. H. , Baetz , B. W. and Patry , G. G. 1994c . Grey fuzzy dynamic programming: Application to municipal solid waste management planning problems . Civil Engineering and Environmental Systems , 11 : 43 – 73 .
   Web of Science ®Google Scholar
• 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-Economic Planning Sciences , 29 ( 1 ) : 17 – 38 .
   Web of Science ®Google Scholar
• Huang , G. H , Baetz , B. W. and Patry , G. G. 1995b . Grey quadratic programming and its application to municipal solid waste management planning under uncertainty . Engineering Optimization , 23 : 201 – 223 .
   Web of Science ®Google Scholar
• Huang , G. H. 1997 . Capacity design of waste management systems under uncertainty: A North American case study . Waste Management and Research , 15 ( 5 ) : 523 – 546 .
   Web of Science ®Google Scholar
• Huang , G. H. 2001 . An interval-parameter fuzzy-stochastic programming approach for municipal solid waste management and planning . Environmental Modeling and Assessment , 6 : 271 – 283 .
   Web of Science ®Google Scholar
• Inuiguchi , M. and Sakawa , M. 1998 . Robust optimization under softness in a fuzzy linear programming problem . International Journal of Approximate Reasoning , 18 : 21 – 34 .
   Web of Science ®Google Scholar
• Inuiguchi , M. , Ichihashi , H. and Tanaka , H. 1990 . “ Fuzzy programming: A survey of recent developments ” . In Stochastic versus fuzzy approaches to multiobjective mathematical programming under uncertainty , Edited by: Slowinski , R. and Teghem , J. 45 – 70 . The Netherlands : Kluwer Academic Publishers .
   Google Scholar
• Kunjur , A. and Krishnamurty , S. 1997 . A robust multi-criteria optimization approach . Mechanism and Machine Theory , 32 ( 7 ) : 797 – 810 .
   Web of Science ®Google Scholar
• Lee , Y. W. , Bogardi , I. and Stansbury , J. 1991 . Fuzzy decision making in dredged-material management . Journal of Environment Engineering ASCE , 117 ( 2 ) : 614 – 628 .
   Web of Science ®Google Scholar
• Leung , Y. 1988 . Spatial analysis and planning under imprecision (studies in regional science and urban economics) , Amsterdam : Elsevier .
   Google Scholar
• Li , J. B. 2003 . Integration of stochastic programming and factorial design for optimal reservoir operation . Journal of Environmental Informatics , 1 ( 2 ) : 12 – 17 .
   Web of Science ®Google Scholar
• Li , Y. P. 2006 . An interval-parameter two-stage stochastic integer programming model for environmental systems planning under uncertainty . Engineering Optimization , 38 ( 4 ) : 461 – 483 .
   Web of Science ®Google Scholar
• Li , Y. P. 2007 . ITCLP: An inexact two-stage chance-constrained program for planning waste management systems . Resources, Conservation and Recycling , 49 ( 3 ) : 284 – 307 .
   Web of Science ®Google Scholar
• Li , Y. P. 2008 . Interval-parameter quadratic two-stage stochastic programming method for municipal solid waste management . Civil Engineering and Environmental Systems , 25 ( 2 ) : 139 – 155 .
   Web of Science ®Google Scholar
• Liu , L. 2003 . A fuzzy-stochastic robust programming model for regional air quality management under uncertainty . Engineering Optimization , 35 ( 2 ) : 177 – 199 .
   Web of Science ®Google Scholar
• Luhandjula , M. K. and Gupta , M. M. 1996 . On fuzzy stochastic optimization . Fuzzy Sets and Systems , 81 : 47 – 55 .
   Web of Science ®Google Scholar
• Luo , B. , Maqsood , I. , Yin , Y. Y. , Huang , G. H. and Cohen , S. J. 2003 . Adaption to climate change through waster trading under uncertainty—An inexact two-stage nonlinear programming approach . Journal of Environmental Informatics , 2 ( 2 ) : 58 – 68 .
   Web of Science ®Google Scholar
• Maqsood , I. and Huang , G. H. 2003 . A two-stage interval-stochastic programming model for waste management under uncertainty . Journal of the Air and Waste Management Association , 53 : 540 – 552 .
   PubMedGoogle Scholar
• Negoita , C. V. , Minoiu , S. and Stan , E. 1976 . On considering imprecision in dynamic linear programming . Economic Computation and Economic Cybernetics Studies and Research , 3 : 83 – 96 .
   Google Scholar
• Nie , X. H. 2007 . IFRP: A hybrid interval-parameter fuzzy robust programming approach for waste management planning under uncertainty . Journal of Environmental Management , 84 ( 1 ) : 1 – 11 .
   PubMed Web of Science ®Google Scholar
• Or , I. and Curi , K. 1993 . Improving the efficiency of the solid waste collection system in Izmir, Turkey, through mathematical programming . Waste Management and Research , 11 : 4 – 11 .
   Web of Science ®Google Scholar
• Soyster , A. L. 1973 . Convex programming with set-inclusive constraints: Applications to inexact linear programming . Operations Research , 21 : 1154 – 1157 .
   Web of Science ®Google Scholar
• Thuesen , G. J. and Fabrycky , W. J. 1989 . Engineering economy , Englewood Cliffs : Prentice–Hall .
   Google Scholar
• Vassiadou-Zeniou , C. and Zenios , S. A. 1996 . Robust optimization models for managing callable bond portfolios . European Jounal of Operational Research , 91 : 264 – 273 .
   Web of Science ®Google Scholar
• Wu , X. Y. , Huang , G. H. , Liu , L. and Li , J. B. 2006 . An interval nonlinear program for the planning of waste management systems with economies-of-scale effects—A case study for the region of Hamilton, Ontario, Canada . European Journal of Operational Research , 171 : 349 – 372 .
   Web of Science ®Google Scholar
• 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 . Journal of Environmental Informatics , 1 ( 1 ) : 37 – 51 .
   Web of Science ®Google Scholar
• 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 . Journal of Environmental Informatics , 2 ( 1 ) : 11 – 30 .
   Web of Science ®Google Scholar
• Zadeh , L. A. 1965 . Fuzzy sets . Information and Control , 8 : 338 – 353 .
   Web of Science ®Google Scholar
• Zou , R. 2000 . Independent variable controlled grey fuzzy linear programming approach for waste flow allocation planning . Engineering Optimization , 33 ( 1 ) : 87 – 111 .
   Web of Science ®Google Scholar