AQUIFER REMEDIATION DESIGN UNDER UNCERTAINTY USING A NEW CHANCE CONSTRAINED PROGRAMMING TECHNIQUE

被引:139
作者
MORGAN, DR [1 ]
EHEART, JW [1 ]
VALOCCHI, AJ [1 ]
机构
[1] UNIV ILLINOIS,DEPT CIVIL ENGN,URBANA,IL 61801
关键词
D O I
10.1029/92WR02130
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 technique, called the mixed-integer-chance-constrained programming (MICCP) method is developed in this research. This technique considers uncertainty in all linear programming constraint coefficients and does not require a priori knowledge of the distribution. A groundwater remediation problem serves as an example. The method is developed to find the globally optimal trade-off curve for maximum reliability versus a minimum pumping objective. As the fields became more heterogeneous, the pumping rate of a reliable solution increases. Four simple ''rule of thumb'' methods are compared to the MICCP technique. In general, the performance of such methods decreases as the heterogeneity of the hydraulic conductivity field increases.
引用
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页码:551 / 561
页数:11
相关论文
共 31 条
[1]   DISTRIBUTION-FREE APPROXIMATIONS FOR CHANCE CONSTRAINTS [J].
ALLEN, FM ;
BRASWELL, RN ;
RAO, PV .
OPERATIONS RESEARCH, 1974, 22 (03) :610-621
[2]   HYDRAULIC-GRADIENT CONTROL FOR GROUNDWATER CONTAMINANT REMOVAL [J].
ATWOOD, DF ;
GORELICK, SM .
JOURNAL OF HYDROLOGY, 1985, 76 (1-2) :85-106
[3]  
BROWNLEE KA, 1960, STATISTICAL THEORY M
[4]   OPTIMIZATION MODELING OF WATER-QUALITY IN AN UNCERTAIN ENVIRONMENT [J].
BURN, DH ;
MCBEAN, EA .
WATER RESOURCES RESEARCH, 1985, 21 (07) :934-940
[5]   LINEAR STOCHASTIC OPTIMIZATION APPLIED TO BIOCHEMICAL OXYGEN-DEMAND - DISSOLVED-OXYGEN MODELING [J].
BURN, DH ;
MCBEAN, EA .
CANADIAN JOURNAL OF CIVIL ENGINEERING, 1986, 13 (02) :249-254
[6]  
BURN DH, 1985, THESIS U WATERLOO WA
[7]   COST HORIZONS AND CERTAINTY EQUIVALENTS - AN APPROACH TO STOCHASTIC-PROGRAMMING OF HEATING OIL [J].
CHARNES, A ;
COOPER, WW ;
SYMONDS, GH .
MANAGEMENT SCIENCE, 1958, 4 (03) :235-263
[8]   DETERMINISTIC EQUIVALENTS FOR OPTIMIZING AND SATISFICING UNDER CHANCE CONSTRAINTS [J].
CHARNES, A ;
COOPER, WW .
OPERATIONS RESEARCH, 1963, 11 (01) :18-39
[9]   STOCHASTIC WATER-QUALITY OPTIMIZATION USING IMBEDDED CHANCE CONSTRAINTS [J].
ELLIS, JH .
WATER RESOURCES RESEARCH, 1987, 23 (12) :2227-2238
[10]   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