摘要:

Part I of the paper was devoted the theory of Φ-conjugation. This theory is used in the present paper for giving optimality conditions of a class of nonconvex programming problems, A geometrical version (founded on supporting hyperplanes and their relation to the polarity of a hypersurface of order two) as well as an analytical version of the optimality conditions are given. New results and also several Well Known optimality conditions for convex programming problems and for general fractional programming problems are presented.

ISSN:0323-3898    

DOI:10.1080/02331938408842965

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

Bachem, A.; Grötschel, M.u. Korte, B. (ed.): Mathematical Programming: The State of the Art. Boonn 1982. Springer Verlag Berlin, Heidelberg, New York, Tokyo 1983. 30 figs., VIII, 655 S., DM 128, –. ISBN 3-540-12082-3.

ISSN:0323-3898    

DOI:10.1080/02331938408842966

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

In the present paper the radius of convergence of a class of locally convergent nonlinear programming algorithms (containing Robinson's and Wilson's methods) applied to a parametric nonlinear programming problem is estimated. A consequence is the numerical feasibility of globalizations of Robinson's and Wilson's methods by means of continuation techniques.

ISSN:0323-3898    

DOI:10.1080/02331938408842968

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

A generalization of the notion of Tucker solutions in infinite dimensional linear spaces using generating points of complementary cones is given. The existence of generating points is discussed, and a generalization of Tucker's complementary slackness theorem for linear programming problems in infinite-dimensional linear spaces is proved.

ISSN:0323-3898    

DOI:10.1080/02331938408842969

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

The present paper contains the globalisation of Wilson's method by imbedding technique. The important problem of the automatic control of imbedding parameter is considered.

ISSN:0323-3898    

DOI:10.1080/02331938408842970

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

Cecconi, J.P.; Zolezzi, T. (eds.): Mathematical Theories of Optimization, Proceedings of the Internat. Conference Held in S. Margheite Ligure (Genova), Nov. 30-Dec. 4, 1981. Lecture Notes in Mathematics, Vol. 979, Springer Verlag Berl;in, Heidelberg, New York, Tokyo 1983, V, 268 p., DM33,50. ISBN 3-540-11999-X.

ISSN:0323-3898    

DOI:10.1080/02331938408842971

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

Some necessary and sufficient optimality conditions for linear vector optimization are presented. Duality results that are derived in this paper generalize those known in the scalar case. For particular feasible sets, they specialize to the dual problem of Isermann [11].

ISSN:0323-3898    

DOI:10.1080/02331938408842972

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

ISSN:0323-3898    

DOI:10.1080/02331938408842973

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

We investigate monotonicity properties of the success probabilities and the total reward when the number of previously observed successes and failures change. Using a well-known Bayesian approach and dynamic programming we give conditions in terms of the covariances of the posterior distributions and in terms of the support of the prior distribution. Special order relations for the number of successes and failures allow a simple and unified treatment of different cases. The results extend some of the investigations of Hengartner/Kalin/Theodorescu [1].

ISSN:0323-3898    

DOI:10.1080/02331938408842974

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor

摘要:

Sorensen, D.C,; Wets, R.J.B, (eds.): Nondifferential and Variational Techniques in Optimization. Proceedings of the Workshop on Numerical Techniques for Systems Engineering Problems. Part 2. Mathematical Programming Studies 17. North-Holland Publ. Comp. Amsterdam, New York 1982, X, 160 p., Dfl. 60.00. ISBN-0444863923

ISSN:0323-3898    

DOI:10.1080/02331938408842975

出版商:Akademic-Verlag    

年代:1984

数据来源: Taylor