References
- Auslender , A. and Cominetti , R. 1990 . First and second order sensitivity analysis of nonlinear programs under directional constraint qualification conditions . Optimization , 21 ( 3 ) : 351 – 363 .
- Bank , B. , Guddat , J. , Klatte , D. , Kummer , B. and Tammer , K. 1983 . Nonlinear Parametric Optimization , Basel : Birkhauser Verlag .
- Demple , S. 1984 . On tne directional derivatives of the optimal solution mapping qulification . Optimization , 20 ( 4 ) : 401 – 414 .
- Fiacco , A.V. 1983 . Introduction to sensitivity Analysis in Nonlinear Programing , New york : Academic Press .
- Gauvin , J. and Jainin , R. 1988 . Directional Behaviour of optimal solution in nonlinear programing . Math Op Res , 13 ( 4 ) : 629 – 649 .
- Gauvin , J. and Janin , R. 1990 . “ Directional Lipschitzian optimal solutions and directional derivative for the optimal value function in nonlinear mathematical programming ” . In Analyse Nonlinéaire , Edited by: Attouch , H. , Aubin , J.P. , Clarke , F. and Ekeland , I. Montreal : Gauthier Villars . in
- Goldstein , E.G. 1972 . “ Translations of Mathematical Monographs ” . In Theory of Convex Programming Vol. 36 , Rhode Island AMS
- Hogan , W.W. 1973 . Directional derivatives for extremal value functions with applications to the completely convex case . Operations Research , 21 ( 1 ) : 188 – 209 .
- Hogan , W.W. 1973 . Point-to-set maps in mathematical programming . SIAM Review , 15 ( 1 ) : 591 – 603 .
- Krčmar-Nožić , E. 1991 . Some Theoretical and Practical Problem in Interactive Multi-Objective , University of Belgrade . Ph.D. Thesis
- Malanowski , K. 1985 . Differentiability with respect to parameters . Math. Progr , 33 : 352 – 361 .
- Robinson , S. 1982 . Generalized equations and their solutions, Part II: Applications to nonlinear programming . Math. Prog. Study , 19 : 200 – 221 .
- Semple , J. and Zlobec , S. 1987 . On a necessary condition for stability in perturbed linear and convex programming . ZOR, Series A: Theorie , 31 : 161 – 172 .
- Shapiro , A. 1985 . Second order sensitivity analysis and asymptotic theory of parametrized nonlinear programs . Math. Prog. , 33 : 280 – 299 .
- Shapiro , A. 1988 . Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton . Appl. Math. Opt. , 18 : 215 – 229 .
- van Rooyen M. Characterizing Optimal Inputs in Perturbel Convex Programming University of the Witwatersrand Johannesburg 1987 M.Sc, Thesis
- van Rooyen , M. , Sears , M. and Zlobec , S. 1989 . Constraint qualifications in input optimization . J. Australian Math. Soc. , B 30 : 326 – 342 .
- van Rooyen , M. and Zlobec , S. 1990 . A complete characterization of optimal economic systems with respect to stable perturbations . Glasnik Mat , 25 ( 45 ) : 235 – 253 .
- van Rooyen , M. “ Ph.D. Thesis ” . McGill University . (forthcoming)
- Zlobec , S. 1988 . Characterizing optimality for mathematical programming models . Acta Appl. Math. , 12 : 113 – 180 .
- Zlobec , S. 1991 . The marginal value formula in input optimization . Optimization , 22 : 341 – 386 .