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Original Articles

Modified chance constrained linear programming under uncertainty

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Pages 255-287 | Received 12 May 1997, Published online: 20 Mar 2007

References

  • Allen , F.M. , Braswell , R.N. and Rao , P.V. 1974 . Distribution-Free Approximations for Chance Constraints . Operations Research , 22 ( 3 ) : 610 – 621 .
  • Bao , Y. and Mays , L.W. 1994 . Optimization of Freshwater Inflows to Lavaca-Tres Palacios, Texas, Estuary . Journal of Water Resources Planning and Management , 120 ( 2 ) : 218 – 236 .
  • Bawa , V. , Brown , S. and Klein , R. 1979 . Estimation Risk and Optimal Portfolio Choice , Amsterdam : North-Holland Publishing .
  • Beale , E.M. 1955 . On Minimizing a Convex Function Subject to Linear Inequalities . Journal of Royal Statistical Society , 17B : 173 – 184 .
  • Beer , S. and Ackoff , R.L. 1969 . In Conclusion: Some Beginnings . Progress in Operations Research , 1 : 73 – 79 . Chapter 14
  • Charnes , A. and Cooper , W.W. 1959 . Chance-Constrained Programming . Management Science , 6 ( 1 ) : 73 – 89 .
  • Charnes , A. and Cooper , W.W. 1962 . Chance Constraints and Normal Deviates . Journal of the American Statistical Association , 57 ( 1 ) : 134 – 148 .
  • Charnes , A. and Cooper , W.W. 1963 . Deterministic Equivalents for Optimizing and Satisficing Under Chance Constraints . Operations Research , 11 ( 1 ) : 18 – 39 .
  • Charnes , A. , Cooper , W.W. , Gorr , W.L. and Cheng , H. 1986 . Emergency Government Interventions: Case Study of Natural Gas Shortages . Management Science , 32 ( 10 ) : 1242 – 1258 .
  • Charnes , A. , Cooper , W.W. and Symonds , G.H. 1958 . Cost Horizons and Certainty Equivalents: An Approach to Stochastic Programming of Heating Oil . Management Science , 4 ( 3 ) : 235 – 263 .
  • Chatterjee , B. , Howitt , R.E. and Sexton , R.J. 1998 . The Optimal Joint Provision of Water for Irrigation and Hydropower . Journal of Environmental Economics and Management , 36 ( 3 ) : 295 – 313 .
  • Cook , S.L. 1964 . “ Applications in the Steel Industry ” . In Progress in Operations Research , Edited by: Hertz , D.B. and Eddison , R.T. Vol. 1 , 251 New York : John Wiley and Sons .
  • Cox , D.R. and Hinkley , D.V. 1974 . Theoretical Statistics , London : Chapman and Hall .
  • Dantzig , G.B. 1955 . Linear Programming Under Uncertainty . Management Science , 1 : 197 – 206 .
  • Dempster , M.A.H. 1968 . On Stochastic Programming I. Static Linear Programming Under Risk . Journal of Mathematical Analysis and Applications , 21 : 304 – 343 .
  • Dielman , T. and Pfaffenberger , R. 1982 . “ LAV (Least Absolute Value) Estimation in Linear Regression: A Review ” . In TIMSIStudies in Management Sciences , Vol. 19 , 31 – 52 . North-Holland Publishing .
  • Eakin , M.E. and Crockett , H. . An Approach for Generation of Two Variable Sets with a Specified Correlation and First and Second Sample Moments . Proceedings of the 20th Symposium of the Interface . pp. 630 – 631 .
  • Fuessle , R.W. , Brill , E.D. Jr and Liebman , J.C. 1987 . Air Quality Planning: A General Chance-Constraint Model . Journal of Environmental Engineering , 113 ( 1 ) : 106 – 123 .
  • Hansotia , B.J. 1980 . Stochastic Linear Programming with Recourse: A Tutorial . Decision Sciences , 11 ( 1 ) : 151 – 168 .
  • Jagannathan , R. 1985 . Use of Sample Information in Stochastic Recourse and Chance-Constrained Programming Models . Management Science , 31 ( 1 ) : 96 – 108 .
  • Lavaca-Tres Palacios Estuary . 1980 . A Study of the Inzuence of Freshwater Inzows , Texas Department of Water Resources .
  • Rice , J.R. and White , J.S. 1964 . Norms for Smoothing and Estimation . S.I.A.M. Review , 6 : 243 – 256 .
  • Taha , H.A. 1982 . Operations Research , New York : Macmillan Publishing .
  • Tintner , G. . Stochastic Linear Programming with Applications to Agricultural Economics . Proceedings of Second Symposium in Linear Programming . Washington. Edited by: Antosiewicz , H.A. pp. 197 – 207 .
  • Vajda , R. 1972 . Probabilistic Programming , New York : Academic Press .
  • Whiteside , M.M. , Choi , B. , Eakin , M.E. and Crockett , D. 1991 . Stability of Linear Programming Solutions Using Regression Coefficients . Journal of Statistical Computer Simulations , 50 : 131 – 146 . 1994
  • Whiteside , M.M. and Crockett , H. . The Interface Between Multiple Regression and Linear Programming . Proceedings of the Statistical Computing Section of the American Statistical Association . Chicago. pp. 191 – 196 .
  • Whiteside , M.M. , Eakin , M.E. and Crockett , H. . Bias in LP Solutions with a Stochastic Constraint: A Simulation . Proceedings of Decision Sciences Institute . Boston. pp. 984 – 986 .
  • Whiteside , M.M. , Eakin , M.E. , Crockett , H. and Choi , B. . Simulated Linear Systems with Stochastic Constraints . Proceedings of Western Decision Sciences Institute . Vancouver. pp. 427 – 429 .
  • Whittle , P. 1982 . Optimization Over Time , Chichester : John Wiley and Sons .

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