References
- Ang , A. H.-S. and Tang , W. H. ( 1975 ) Probability Concepts in Engineering Planning and Design , Volume I — Basic Principles . John Wiley and Sons , p. 199 .
- Ang , A. H.-S. and Tang , W. H. ( 1984 ) Probability Concepts in Engineering Planning and Design , Volume II — Decision , Risk , and Reliability . John Wiley and Sons , pp. 334 – 359 .
- Berthouex , P. M. and Polkowski , L. B. ( 1970 ) Optimum Waste Treatment Plant Design Under Uncertainty . Journal of the Water Pollution Control Federation , 42 , ( 9 ), 1589 – 1613 .
- Chang , T. M. ( 1967 ) Sensitivity Analysis in Optimum Process Design . Ph.D. Dissertation , West Viriginia University , Morgantown , West Virginia .
- Charnes , A. and Cooper , W. W. ( 1962 ) Chance Constraints and Normal Deviates . J. Am. Slat. Assoc. , 57 , 134 – 148 .
- Curtis , A. R. and Reid , J. K. ( 1974 ) On the Estimation of Sparse Jacobian Matrices . J. Inst. Maths. Applies. , 13 , 117 – 119 .
- Davidson , J. W. , Felton , L. P. and Hart , G. C. ( 1977 ) Optimum Design of Structures With Random Parameters . Computers and Structures , 7 , 481 – 486 .
- Dorato , P. ( 1987 ) A Historical Review of Robust Control . IEEE Control Systems Magazine , 7 , ( 2 ), 44 – 47 .
- Eheart , J. W. and Valocchi , A. J. ( 1986 ) Multicriterion Management of Groundwater Quality . Research Report to University of Illinois Water Resources Center .
- Frank , P. M. ( 1978 ) Introduction to System Sensitivity Theory . Academic Press , New York .
- Gill , P. E. , Murray , W. and Wright , M. H. ( 1981 ) Practical Optimization . Academic Press .
- Kaplan , W. ( 1984 ) Advanced Calculus . Addison-Wesley , Reading , Massachusetts , pp. 110 – 121 .
- Kwak , B. M. and Haug , E. J. , Jr. ( 1976 ) Optimum Design in the Presence of Parametric Uncertainty . Journal of Optimization Theory and Applications , 19 ,( 4 ), 527 – 546 .
- Kwak , B. M. and Haug , E. J. , Jr. ( 1976 ) Parametric Optimal Design . Journal of Optimization Theory and Applications , 20 , ( 1 ) 13 – 35 .
- Kwak , B. M. Lee, T. W, ( 1987 ) Sensitivity Analysis for Reliability-Based Optimization Using an AFOSM Method . Computers and Structures , 27 , ( 3 ), 399 – 406 .
- Lasdon , L. S. , Waren , A. D. , Jain , A. and Ratner , M. ( 1978 ) Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming . ACM Transactions on Mathematical Software , 4 , ( 1 ), 34 – 50 .
- Lee , T. W. and Kwak , B. M. ( 1988 ) A Reliability-Based Optimal Design Using Advanced First Order Second Moment Method . Mech. Struct, and Mach. , 15 , ( 4 ), 523 – 542 .
- Liebman , J. , Lasdon , L. , Schrage , L. and Waren , A. ( 1986 ) Modeling and Optimization with GINO . The Scientific Press , Palo Alto , California , pp. 118 – 122 .
- Rao , S. S. ( 1980 ) Structural Optimization by Chance Constrained Programming Techniques . Computers and Structures , 12 , 777 – 781 .
- Rao , S. S. ( 1981 ) Reliability-Based Optimization Under Random Vibration Environment . Computers and Structures , 14 , ( 5-6 ), 345 – 355 .
- Shimizu , K. and Aiyoshi , E. ( 1982 ) A New Solution to Optimization-Satisfaction Problems by a Penalty Method . Automatica , 18 , 37 – 46 .
- Tang , C. C. , Brill , E. D. , Jr. and Pfeffer , J. T. ( 1987 ) Comprehensive Model of Activated Sludge Wastewater Treatment System . Jour, of Environmental Engineering , A.S.C.E. , 113 , ( 5 ), 952 – 969 .
- Tarrer , A. R. , Grady , C. P. L. , Jr., Lim , H. C. and Koppel , L. B. ( 1976 ) Optima] Activated Sludge Design Under Uncertainty . Journal of Environmental Engineering , A.S.C.E. , ( 102 ), (EE3) , 657 – 673 .
- Uber , J. G. ( 1989 ) Sensitivity Constraints for Linear Optimal Design Models . Working Paper 1, Civil Engineering Program , University of Alabama in Huntsville .
- Uber , J. G. , Brill , E. D. , Jr. and PfelTer , J. T. ( 1985 ) A Nonlinear Programming Model of a Wastewater Treatment System Sensitivity Analysis and a Robustness Constraint. Water Resources Center Report 196 , University of Illinois at Urbana-Champaign .
- Uber , J. G. , Kao , J.-J. , Brill , E. D. , Jr. and Pfeffer , J. T. ( 1988 ) Sensitivity Constrained Nonlinear Programming A General Approach for Planning and Design Under Parameter Uncertainty and an Application to Treatment Plant Design. Final Technical Report to the Department of the Interior , U.S. Geological Survey , U.S.G.S. Grant No. 14-O8-0OO1-G1144 , 163 pp.
- Wagner , B. J. and Gorelick , S. M. ( 1987 ) Optimal Groundwater Quality Management Under Parameter Uncertainty . Water Resources Research , 23 , ( 7 ), 1162 – 1174 .