An interval-parameter mean-CVaR two-stage stochastic programming approach for waste management under uncertainty

In this research, approaches of interval mathematical programming, two-stage stochastic programming and conditional value-at-risk (CVaR) are incorporated within a general modeling framework, leading to an interval-parameter mean-CVaR two-stage stochastic programming (IMTSP). The developed method has several advantages: (i) it can be used to deal with uncertainties presented as interval numbers and probability distributions, (ii) its objective function simultaneously takes expected cost and system risk into consideration, thus, it is useful for helping decision makers analyze the trade-offs between cost and risk, and (iii) it can be used for supporting quantitatively evaluating the right tail of distributions of waste generation rate, which can better quantify the system risk. The IMTSP model is applied to the long-term planning of municipal solid waste management system in the City of Regina, Canada. The results indicate that IMTSP performs better in its capability of generating a series of waste management patterns under different risk-aversion levels, and also providing supports for decision makers in identifying desired waste flow strategies, considering balance between system economy and environmental quality.

[1]  Greg N. Gregoriou.  The VAR Implementation Handbook , 2009 .

[2]  Xiaosheng Qin,et al.  A Conditional Value-at-Risk Based Inexact Water Allocation Model , 2011 .

[3]  Gordon H. Huang,et al.  Inexact minimax regret integer programming for long-term planning of municipal solid waste management - Part B: Application. , 2009 .

[4]  Huan Feng,et al.  A purview of waste management evolution: special emphasis on USA. , 2009, Waste management.

[5]  G H Huang,et al.  SLFP: a stochastic linear fractional programming approach for sustainable waste management. , 2011, Waste management.

[6]  J. Birge,et al.  A multicut algorithm for two-stage stochastic linear programs , 1988 .

[7]  Chin-Wen Huang,et al.  Effectiveness of copula-extreme value theory in estimating value-at-risk: empirical evidence from Asian emerging markets , 2012 .

[8]  Guohe Huang,et al.  An interval-parameter chance-constrained dynamic programming approach for capacity planning under uncertainty , 2012 .

[9]  Guohe Huang,et al.  A robust risk analysis method for water resources allocation under uncertainty , 2013, Stochastic Environmental Research and Risk Assessment.

[10]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[11]  G H Huang,et al.  Inexact fuzzy-stochastic mixed integer programming approach for long-term planning of waste management---Part B: case study. , 2009, Journal of environmental management.

[12]  Bing Chen,et al.  ITOM: an interval-parameter two-stage optimization model for stochastic planning of water resources systems , 2005 .

[13]  Nikolaos V. Sahinidis,et al.  A finite branch-and-bound algorithm for two-stage stochastic integer programs , 2004, Math. Program..

[14]  G H Huang,et al.  Waste management with recourse: an inexact dynamic programming model containing fuzzy boundary intervals in objectives and constraints. , 2010, Journal of environmental management.

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

[16]  Rüdiger Schultz,et al.  Risk Aversion in Two-Stage Stochastic Integer Programming , 2010 .

[17]  Guohe Huang,et al.  AN INEXACT TWO-STAGE STOCHASTIC PROGRAMMING MODEL FOR WATER RESOURCES MANAGEMENT UNDER UNCERTAINTY , 2000 .

[18]  Guo H. Huang,et al.  An interval-parameter fuzzy nonlinear optimization model for stream water quality management under uncertainty , 2007, Eur. J. Oper. Res..

[19]  Csaba I. Fábián.  Handling CVaR objectives and constraints in two-stage stochastic models , 2008, Eur. J. Oper. Res..

[20]  Felix F. Wu,et al.  A smoothing method for solving portfolio optimization with CVaR and applications in allocation of generation asset , 2010, Appl. Math. Comput..

[21]  P. Kall.  STOCHASTIC LINEAR PROGRAMMING Models , Theory , and Computation , 2013 .

[22]  Rüdiger Schultz,et al.  Conditional Value-at-Risk in Stochastic Programs with Mixed-Integer Recourse , 2006, Math. Program..

[23]  Ping Guo,et al.  Two-stage fuzzy chance-constrained programming: application to water resources management under dual uncertainties , 2009 .

[24]  Nilay Noyan,et al.  Risk-averse two-stage stochastic programming with an application to disaster management , 2012, Comput. Oper. Res..

[25]  Guohe Huang,et al.  Multistage scenario-based interval-stochastic programming for planning water resources allocation , 2009 .

[26]  Shabbir Ahmed,et al.  Mean-risk objectives in stochastic programming , 2004 .

[27]  Guohe Huang,et al.  SRFILP: A Stochastic Robust Fuzzy Interval Linear Programming Model for Municipal Solid Waste Management under Uncertainty , 2009 .

[28]  G H Huang,et al.  Inexact fuzzy-stochastic mixed-integer programming approach for long-term planning of waste management--Part A: methodology. , 2009, Journal of environmental management.

[29]  Keith W. Hipel,et al.  Interior-Point Method for Reservoir Operation with Stochastic Inflows , 2001 .

[30]  Peter Kall,et al.  Stochastic Linear Programming , 1975 .

[31]  Guohe Huang,et al.  Identification of optimal strategies for improving eco-resilience to floods in ecologically vulnerable regions of a wetland , 2011 .

[32]  R. Rockafellar,et al.  Conditional Value-at-Risk for General Loss Distributions , 2001 .

[33]  G H Huang,et al.  A two-stage support-vector-regression optimization model for municipal solid waste management - a case study of Beijing, China. , 2011, Journal of environmental management.

[34]  Guohe Huang,et al.  Planning of municipal solid waste management systems under dual uncertainties: a hybrid interval stochastic programming approach , 2008 .

[35]  Shabbir Ahmed,et al.  Convexity and decomposition of mean-risk stochastic programs , 2006, Math. Program..

[36]  Guo H Huang,et al.  A Two-Stage Interval-Stochastic Programming Model for Waste Management under Uncertainty , 2003, Journal of the Air & Waste Management Association.

[37]  Gordon H. Huang,et al.  A Superiority-Inferiority-Based Inexact Fuzzy Stochastic Programming Approach for Solid Waste Management Under Uncertainty , 2010 .

[38]  Hans Frenk,et al.  Risk measures and their applications in asset management , 2008 .