Two-stage interval stochastic chance-constrained robust programming and its application in flood management

Abstract Today, flood diversion is a useful strategy of flood management that is used to mitigate damage from flooding throughout the world. This study developed two-stage interval stochastic chance-constrained robust programming for flood diversion of flood management under multiple uncertainties by integrating chance-constrained programming and robust programming into two-stage stochastic programming. The new model can resolve problems of system uncertainties and difficulties of trade-offs between the system economy as well as system stability. The proposed approach is especially useful for obtaining an optimum flood mitigation scheme with the minimum cost and an acceptable risk under complex uncertainties. In addition, the advanced method was also used to test a hypothetical case study of flood diversion planning. The results indicate that desired flood diversion schemes with lower costs and acceptable risks under complex uncertainties could be achieved. In conclusion, this study proposed a new method for flood management and meanwhile it could efficiently handle problems of independent uncertainty as well as trade-offs between economy and stability in flood management system which were hardly deal with by current methods.

[1]  Q. G. Lin,et al.  An Interval-Parameter Chance-Constraint Mixed-Integer Programming for Energy Systems Planning Under Uncertainty , 2011 .

[2]  Lei Liu,et al.  Two-Stage Fuzzy-Stochastic Robust Programming: A Hybrid Model for Regional Air Quality Management , 2006, Journal of the Air & Waste Management Association.

[3]  Guohe Huang,et al.  Inexact Probabilistic Optimization Model and Its Application to Flood Diversion Planning in a Dynamic and Uncertain Environment , 2015 .

[4]  Vishal Gupta,et al.  Robust sample average approximation , 2014, Math. Program..

[5]  Xin Li,et al.  Transparent and robust audio data hiding in subband domain , 2000, Proceedings International Conference on Information Technology: Coding and Computing (Cat. No.PR00540).

[6]  Guohe Huang,et al.  Risk analysis and management for water resources systems , 2013, Stochastic Environmental Research and Risk Assessment.

[7]  G H Huang,et al.  IFRP: a hybrid interval-parameter fuzzy robust programming approach for waste management planning under uncertainty. , 2007, Journal of environmental management.

[8]  V. Simić.  A two-stage interval-stochastic programming model for planning end-of-life vehicles allocation under uncertainty , 2015 .

[9]  Barbara J. Lence,et al.  Surface water quality management using a multiple‐realization chance constraint method , 1999 .

[10]  Gordon H. Huang,et al.  Inexact fuzzy integer chance constraint programming approach for noise control within an urban environment , 2016 .

[11]  G H Huang,et al.  A two-stage mixed-integer fuzzy programming with interval-valued membership functions approach for flood-diversion planning. , 2013, Journal of environmental management.

[12]  Y. P. Li,et al.  Mixed interval–fuzzy two-stage integer programming and its application to flood-diversion planning , 2007 .

[13]  M. P. Biswal,et al.  Stochastic simulation-based genetic algorithm for chance constraint programming problems with continuous random variables , 2004, Int. J. Comput. Math..

[14]  Yan Ding,et al.  Optimal control of flood diversion in watershed using nonlinear optimization , 2012 .

[15]  S. M. Shahidehpour,et al.  A dynamic programming two-stage algorithm for long-term hydrothermal scheduling of multireservoir systems , 1998 .

[16]  G. H. Huang,et al.  A fuzzy-stochastic robust programming model for regional air quality management under uncertainty , 2003 .

[17]  Guohe Huang,et al.  Filter allocation and replacement strategies in fluid power system under uncertainty: a fuzzy robust nonlinear programming approach , 2012 .

[18]  Xiaosheng Qin,et al.  SRCCP: A stochastic robust chance-constrained programming model for municipal solid waste management under uncertainty , 2009 .

[19]  G H Huang,et al.  An inexact chance-constrained programming model for water quality management in Binhai New Area of Tianjin, China. , 2011, The Science of the total environment.

[20]  Ximing Cai,et al.  Optimality conditions for a two-stage reservoir operation problem , 2010 .

[21]  Maurizio Bevilacqua,et al.  Environmental analysis of a cotton yarn supply chain , 2014 .

[22]  Stefan Hochrainer-Stigler,et al.  Increasing stress on disaster-risk finance due to large floods , 2014 .

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

[24]  G. Villarini,et al.  Flood peak distributions for the eastern United States , 2009 .

[25]  Dong Liu,et al.  Two-Stage Interval-Parameter Stochastic Programming Model Based on Adaptive Water Resource Management , 2016, Water Resources Management.

[26]  Lars Chittka,et al.  Adaptation, constraint, and chance in the evolution of flower color and pollinator color vision , 2001 .

[27]  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.

[28]  Abbas Afshar,et al.  Risk-based optimization of large flood-diversion systems using genetic algorithms , 2009 .

[29]  Ping Guo,et al.  An inexact fuzzy-chance-constrained two-stage mixed-integer linear programming approach for flood diversion planning under multiple uncertainties , 2010 .

[30]  Guohe Huang,et al.  A hybrid fuzzy-stochastic programming method for water trading within an agricultural system , 2014 .

[31]  Guohe Huang,et al.  Planning sustainable electric-power system with carbon emission abatement through CDM under uncertainty , 2015 .