Siting and Routing Assessment for Solid Waste Management Under Uncertainty Using the Grey Mini-Max Regret Criterion

Solid waste management (SWM) is at the forefront of environmental concerns in the Lower Rio Grande Valley (LRGV), South Texas. The complexity in SWM drives area decision makers to look for innovative and forward-looking solutions to address various waste management options. In decision analysis, it is not uncommon for decision makers to go by an option that may minimize the maximum regret when some determinant factors are vague, ambiguous, or unclear. This article presents an innovative optimization model using the grey mini-max regret (GMMR) integer programming algorithm to outline an optimal regional coordination of solid waste routing and possible landfill/incinerator construction under an uncertain environment. The LRGV is an ideal location to apply the GMMR model for SWM planning because of its constant urban expansion, dwindling landfill space, and insufficient data availability signifying the planning uncertainty combined with vagueness in decision-making. The results give local decision makers hedged sets of options that consider various forms of systematic and event-based uncertainty. By extending the dimension of decision-making, this may lead to identifying a variety of beneficial solutions with efficient waste routing and facility siting for the time frame of 2005 through 2010 in LRGV. The results show the ability of the GMMR model to open insightful scenario planning that can handle situational and data-driven uncertainty in a way that was previously unavailable. Research findings also indicate that the large capital investment of incineration facilities makes such an option less competitive among municipal options for landfills. It is evident that the investment from a municipal standpoint is out of the question, but possible public–private partnerships may alleviate this obstacle.

[1]  Guohe Huang,et al.  Grey linear programming, its solving approach, and its application , 1993 .

[2]  L. J. Savage,et al.  The Foundations of Statistics , 1955 .

[3]  Ni-Bin Chang,et al.  Cost-effective and equitable workload operation in solid-waste management systems , 1997 .

[4]  David H. Marks,et al.  Solid Waste Management: Equity Trade-Off Models , 1974 .

[5]  Amit Kanudia,et al.  Minimax regret strategies for greenhouse gas abatement: methodology and application , 1997, Oper. Res. Lett..

[6]  Luis M. Díaz,et al.  Berenyi, E. 20052006 Municipal Waste Combustion in the United States: Yearbook and Directory, eighth ed. Governmental Advisory Associates (GAA) Inc., Westport, Connecticut, USA (2006). , 2006 .

[7]  Robert M. Clark,et al.  Locational Models for Solid Waste Management , 1971 .

[8]  Jochen Kuhner,et al.  MATHEMATICAL MODELS FOR DEVELOPING REGIONAL SOLID WASTE MANAGEMENT POLICIES , 1975 .

[9]  N. Erkip,et al.  Selecting transfer station locations for large solid waste systems , 1988 .

[10]  Guohe Huang,et al.  A GREY LINEAR PROGRAMMING APPROACH FOR MUNICIPAL SOLID WASTE MANAGEMENT PLANNING UNDER UNCERTAINTY , 1992 .

[11]  Guohe Huang,et al.  GREY FUZZY DYNAMIC PROGRAMMING: APPLICATION TO MUNICIPAL SOLID WASTE MANAGEMENT PLANNING PROBLEMS , 1994 .

[12]  Charles R. Rhyner,et al.  Waste Management and Resource Recovery , 1995 .

[13]  Ni-Bin Chang,et al.  Comparative risk analysis for metropolitan solid waste management systems , 1996 .

[14]  Larry Jenkins Parametric Mixed Integer Programming: An Application to Solid Waste Management , 1982 .

[15]  Howard Raiffa,et al.  Games and Decisions: Introduction and Critical Survey. , 1958 .

[16]  Igor Averbakh Minmax regret solutions for minimax optimization problems with uncertainty , 2000, Oper. Res. Lett..

[17]  C. Revelle,et al.  A cost allocation method for facilities siting with fixed-charge cost functions , 1990 .

[18]  Ni-Bin Chang,et al.  A fuzzy interval multiobjective mixed integer programming approach for the optimal planning of solid waste management systems , 1997, Fuzzy Sets Syst..

[19]  Zvi Drezner,et al.  Application of decision analysis techniques to the Weber facility location problem , 1999, Eur. J. Oper. Res..

[20]  Masahiro Inuiguchi,et al.  Minimax regret solution to linear programming problems with an interval objective function , 1995 .

[21]  G. Huang,et al.  Grey integer programming: An application to waste management planning under uncertainty , 1995 .

[22]  Ni-Bin Chang,et al.  A grey fuzzy multiobjective programming approach for the optimal planning of a reservoir watershed. Part A: Theoretical development , 1996 .

[23]  Bernard W. Taylor,et al.  Introduction to Management Science , 2006 .

[24]  Warren Walker,et al.  Development and Use of a Fixed Charge Programming Model for Regional Solid Waste Planning , 1974 .

[25]  Ni-Bin Chang,et al.  Optimal design for sustainable development of a material recovery facility in a fast-growing urban setting. , 2005, Waste management.

[26]  D. H. Marks,et al.  Mathematical Models of Location: A Review , 1970 .

[27]  Sergey Bereg,et al.  Facility location problems with uncertainty on the plane , 2005, Discret. Optim..

[28]  Ni-Bin Chang,et al.  A grey fuzzy multiobjective programming approach for the optimal planning of a reservoir watershed. Part B: Application , 1996 .

[29]  Ni-Bin Chang,et al.  Optimal siting of transfer station locations in a metropolitan solid waste management system , 1997 .

[30]  Dana L. Hoag,et al.  The impact matrix approach and decision rules to enhance index dimensionality, flexibility and representation , 2002 .

[31]  Ni-Bin Chang,et al.  Compatibility Analysis of Material and Energy Recovery in a Regional Solid Waste Management System , 2003, Journal of the Air & Waste Management Association.

[32]  Mark S. Daskin,et al.  α-reliable p-minimax regret: a new model for strategic facility location modeling , 1997 .

[33]  Ni-Bin Chang,et al.  Strategic Planning of Recycling Drop-Off Stations and Collection Network by Multiobjective Programming , 1999, Environmental management.

[34]  N B Chang,et al.  Regional shipping strategy assessment based on installing a refuse-derived-fuel process in a municipal incinerator , 2001, Waste management & research : the journal of the International Solid Wastes and Public Cleansing Association, ISWA.

[35]  M. Laguna,et al.  A New Mixed Integer Formulation for the Maximum Regret Problem , 1998 .

[36]  Javier M. López-Cunat Adverse selection under ignorance , 2000 .

[37]  Robert D. Perlack,et al.  Closure of "Multi-Objective Decision-Making in Waste Disposal Planning" , 1985 .

[38]  Yakir Hasit,et al.  Regional Solid Waste Planning with WRAP , 1981 .

[39]  H. W. Gottinger A computational model for solid waste management with applications , 1986 .