Development of an Improved Fuzzy Robust Chance-Constrained Programming Model for Air Quality Management

被引:14
作者
Xu, Ye [1 ]
Huang, Guohe [1 ,2 ]
机构
[1] North China Elect Power Univ, Sino Canada Resources & Environm Res Acad, MOE Key Lab Reg Energy Syst Optimizat, Beijing 102206, Peoples R China
[2] Univ Regina, Fac Engn & Appl Sci, Regina, SK S4S 0A2, Canada
基金
中国国家自然科学基金;
关键词
Robust optimization; Trade-off; Air quality management; Fengrun district; Uncertainty; ACID-RAIN ABATEMENT; OPTIMIZATION;
D O I
10.1007/s10666-014-9441-3
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
A new uncertain optimization technology, called as improved fuzzy robust chance-constrained programming (IFRCCP) model, was applied for a case study involving air quality management. IFRCCP model was an integration of fuzzy robust optimization and fuzzy chance-constrained programming (FCCP), which was originated from robust possibilistic programming (RPP) model and was an extended version of robust optimization (RO) from stochastic to fuzzy environment. It improved RPP model through incorporating predefined fuzzy violation variables into model and overcoming the limitations in adopting FCCP approach to tackle all fuzzy constraints without consideration of their differences. The existence of violation variables was useful in maintaining the characteristics of RO model and evaluating the trade-off between system economy and reliability. The case study considers a real air quality management system in Fengrun district of Tangshan city, China. The applied results indicated that IFRCCP was capable of providing a sketch of proposed management system and generating a variety of control alternatives as the decision-making base. The successful application of IFRCCP provided good demonstration for air quality management in other cities or other management fields.
引用
收藏
页码:535 / 548
页数:14
相关论文
共 22 条
[1]   CHANCE-CONSTRAINED STOCHASTIC LINEAR-PROGRAMMING MODEL FOR ACID-RAIN ABATEMENT .2. LIMITED COLINEARITY [J].
ELLIS, JH ;
MCBEAN, EA ;
FARQUHAR, GJ .
ATMOSPHERIC ENVIRONMENT, 1986, 20 (03) :501-511
[2]   CHANCE-CONSTRAINED STOCHASTIC LINEAR-PROGRAMMING MODEL FOR ACID-RAIN ABATEMENT .1. COMPLETE COLINEARITY AND NONCOLINEARITY [J].
ELLIS, JH ;
MCBEAN, EA ;
FARQUHAR, GJ .
ATMOSPHERIC ENVIRONMENT, 1985, 19 (06) :925-937
[3]   CHANCE-CONSTRAINED DYNAMIC-MODEL OF AIR-QUALITY MANAGEMENT [J].
GULDMANN, JM .
JOURNAL OF ENVIRONMENTAL ENGINEERING-ASCE, 1988, 114 (05) :1116-1135
[4]   THE EXPECTED VALUE OF A FUZZY NUMBER [J].
HEILPERN, S .
FUZZY SETS AND SYSTEMS, 1992, 47 (01) :81-86
[5]   A new method for solving fully fuzzy linear programming problems [J].
Kumar, Amit ;
Kaur, Jagdeep ;
Singh, Pushpinder .
APPLIED MATHEMATICAL MODELLING, 2011, 35 (02) :817-823
[6]   A robust optimization model for multi-site production planning problem in an uncertain environment [J].
Leung, Stephen C. H. ;
Tsang, Sally O. S. ;
Ng, W. L. ;
Wu, Yue .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 181 (01) :224-238
[7]   Two-stage fuzzy-stochastic robust programming: A hybrid model for regional air quality management [J].
Li, Yongping ;
Huang, Guo H. ;
Veawab, Amornvadee ;
Nie, Xianghui ;
Liu, Lei .
JOURNAL OF THE AIR & WASTE MANAGEMENT ASSOCIATION, 2006, 56 (08) :1070-1082
[8]   Chance constrained programming with fuzzy parameters [J].
Liu, BD ;
Iwamura, K .
FUZZY SETS AND SYSTEMS, 1998, 94 (02) :227-237
[9]   A fuzzy-stochastic robust programming model for regional air quality management under uncertainty [J].
Liu, L ;
Huang, GH ;
Liu, Y ;
Fuller, GA ;
Zeng, GM .
ENGINEERING OPTIMIZATION, 2003, 35 (02) :177-199
[10]   Development of an inexact fuzzy flexible programming approach for environmental pollution control [J].
Lu, H. W. ;
Huang, G. H. ;
Maqsood, I. .
ENGINEERING OPTIMIZATION, 2010, 42 (12) :1163-1176