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SMAA-based stochastic multi-criteria decision making for reservoir flood control operation

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Abstract

In reservoir flood control operation, candidate alternatives are generally evaluated, ranked and selected through multi-criteria decision making (MCDM) techniques, yet stochastic uncertainties both in the criteria performance values (PVs) and criteria weights (CWs) exist in the MCDM process. This paper extends the traditional MCDM methods to stochastic environments for reservoir flood control operation. The criteria PVs and CWs are treated as stochastic variables with certain probability distributions. The stochastic multicriteria acceptability analysis (SMAA) theory is introduced and the differences between conventional MCDM models and the SMAA-2 model are discussed. Methods for quantifying stochastic uncertainties in the criteria PVs are discussed and four kinds of CWs are proposed. Moreover, we define the concept of the risk of decision making errors and propose the corresponding quantitative calculation method. A three-stage MCDM procedure is recommended to guide decision makers to solve MCDM problems under stochastic environments. We apply the proposed methodology to a case study through Monte Carlo simulation to demonstrate its effectiveness and advantage. The results show that the proposed methodology can provide significant risk information for decision makers and improve the reliability of decisions for reservoir flood control operation.

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References

  • Bogner K, Pappenberger F (2011) Multiscale error analysis, correction, and predictive uncertainty estimation in a flood forecasting system. Water Resour Res 47(7):W07524

    Article  Google Scholar 

  • Cai XM, Lasdon L, Michelsen AM (2004) Group decision making in water resources planning using multiple objective analysis. J Water Resour Plan Manag 130(1):4–14

    Article  Google Scholar 

  • Chen SY, Hou ZC (2004) Multicriterion decision making for flood control operations: theory and applications. J Am Water Resour Asssoc 40(1):67–76

    Article  Google Scholar 

  • Chen J, Zhong PA, Xu B, Zhao YF (2014) Risk analysis for real-time flood control operation of a reservoir. J Water Resour Plan Manag 141(8):04014092

    Article  Google Scholar 

  • Cheng CT, Chau KW (2001) Fuzzy iteration methodology for reservoir flood control operation. J Am Water Resour Asssoc 37(5):1381–1388

    Article  Google Scholar 

  • Cheng CT, Chau KW (2002) Three-person multi-objective conflict decision in reservoir flood control. Eur J Oper Res 142(3):625–631

    Article  Google Scholar 

  • Choi DJ, Park H (2001) Analysis of water privatization scenarios in Korea with multi-criteria decision-making techniques. J Water Supply Resour Technol 50(6):335–352

    Google Scholar 

  • Corrente S, Figueira JR, Greco S (2014) The SMAA–PROMETHEE method. Eur J Oper Res 239(2):514–522

    Article  Google Scholar 

  • Diao YF, Wang BD (2010) Risk analysis of flood control operation mode with forecast information based on a combination of risk sources. Sci China Technol Sci 53(7):1949–1956

    Article  Google Scholar 

  • Durbach IN, Stewart TJ (2012) Modeling uncertainty in multi-criteria decision analysis. Eur J Oper Res 223(1):1–14

    Article  Google Scholar 

  • Durbach I, Lahdelma R, Salminen P (2014) The analytic hierarchy process with stochastic judgements. Eur J Oper Res 238(2):552–559

    Article  Google Scholar 

  • Fu GT (2008) A fuzzy optimization method for multicriteria decision making: an application to reservoir flood control operation. Expert Syst Appl 34(1):145–149

    Article  Google Scholar 

  • Hajkowicz S, Collins K (2007) A review of multiple criteria analysis for water resource planning and management. Water Resour Manag 21(9):1553–1566

    Article  Google Scholar 

  • Hyde KM, Maier HR, Colby CB (2004) Reliability-based approach to multicriteria decision analysis for water resources. J Water Resour Plan Manag 130(6):429–438

    Article  Google Scholar 

  • Kheireldin K, Fahmy H (2001) Multi-criteria approach for evaluating long term water strategies. Water Int 26(4):527–535

    Article  Google Scholar 

  • Lahdelma R, Salminen P (2001) SMAA-2: stochastic multicriteria acceptability analysis for group decision making. Oper Res 49(3):444–454

    Article  Google Scholar 

  • Lahdelma R, Hokkanen J, Salminen P (1998) SMAA-Stochastic multiobjective acceptability analysis. Eur J Oper Res 106(1):137–143

    Article  Google Scholar 

  • Lahdelma R, Miettinen K, Salminen P (2003) Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA). Eur J Oper Res 147(1):117–127

    Article  Google Scholar 

  • Luo JG, Chen CX, Xie JC (2015) Multi-objective immune algorithm with preference-based selection for reservoir flood control operation. Water Resour Manag 29(5):1447–1466

    Article  Google Scholar 

  • Malekmohammadi B, Zahraie B, Kerachian R (2011) Ranking solutions of multi-objective reservoir operation optimization models using multi-criteria decision analysis. Expert Syst Appl 38(6):7851–7863

    Article  Google Scholar 

  • Ouyang S, Zhou JZ, Qin H, Liao X, Wang H (2014) A novel multi-objective electromagnetism-like mechanism algorithm with applications in reservoir flood control operation. Water Sci Technol 69(6):1181–1190

    Article  Google Scholar 

  • Qin H (2011) Multi-objective optimal operation and multi-attribute risk decision making of cascaded hydropower stations. Dissertation, Huazhong University of Science and Technology (in Chinese)

  • Qin H, Zhou JZ, Lu YL, Li YH, Zhang YC (2010) Multi-objective cultured differential evolution for generating optimal trade-offs in reservoir flood control operation. Water Resour Manag 24(11):2611–2632

    Article  Google Scholar 

  • Su HT, Tung YK (2014) Multi-criteria decision making under uncertainty for flood mitigation. Stoch Environ Res Risk A 28(7):1657–1670

    Article  Google Scholar 

  • Tervonen T, Lahdelma R (2007) Implementing stochastic multicriteria acceptability analysis. Eur J Oper Res 178(2):500–513

    Article  Google Scholar 

  • Wang XJ, Zhao RH, Hao YW (2011) Flood control operations based on the theory of variable fuzzy sets. Water Resour Manag 25(3):777–792

    Article  Google Scholar 

  • Wang HC, Jiao WL, Lahdelma R, Zhu CZ, Zou PH (2014) Stochastic multicriteria acceptability analysis for evaluation of combined heat and power units. Energies 8(1):59–78

    Article  Google Scholar 

  • Yan BW, Guo SL, Chen L (2014) Estimation of reservoir flood control operation risks with considering inflow forecasting errors. Stoch Environ Res Risk A 28(2):359–368

    Article  Google Scholar 

  • Zarghami M, Szidarovszky F (2009) Stochastic-fuzzy multi criteria decision making for robust water resources management. Stoch Environ Res Risk A 23(3):329–339

    Article  Google Scholar 

  • Zhu FL, Zhong PA, Xu B, Wu YN, Zhang Y (2015) A multi-criteria decision-making model dealing with correlation among criteria for reservoir flood control operation. J Hydroinform. doi:10.2166/hydro.2015.055

    Google Scholar 

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 51179044, 51579068, 51379055), and the Special Fund for Public Welfare Industry of the Ministry of Water Resources of China (Grant No. 201501007).

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Authors and Affiliations

  1. College of Hydrology and Water Resources, Hohai University, No. 1 Xikang Road, Nanjing, 210098, China

    Feilin Zhu, Ping-an Zhong, Ye-nan Wu, Yimeng Sun, Juan Chen & Benyou Jia

  2. National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, No. 1 Xikang Road, Nanjing, 210098, China

    Ping-an Zhong

  3. State Key Laboratory of Hydrology Water Resources and Hydraulic Engineering, Hohai University, No. 1 Xikang Road, Nanjing, 210098, China

    Yimeng Sun

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  1. Feilin Zhu
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  2. Ping-an Zhong
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  3. Ye-nan Wu
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  4. Yimeng Sun
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  5. Juan Chen
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Correspondence to Ping-an Zhong.

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Zhu, F., Zhong, Pa., Wu, Yn. et al. SMAA-based stochastic multi-criteria decision making for reservoir flood control operation. Stoch Environ Res Risk Assess 31, 1485–1497 (2017). https://doi.org/10.1007/s00477-016-1253-3

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