摘要:

Generalized convexity properties of vector functions inRn/Rmwith respect to a convex cone are studied. It is shown that the well-known connections between the various kinds of convexity, quasi-and pseudoconvexity of functionals can be extended to vector functions only to a part. The study of convexity properties with respect to convex polyhedral cones yields correspondences between the properties of vector functions and their components, respectively linear combinations of their components. As an example for the application of generalized convex vector functions a vector optimization problem with semi orderings defined by convex cones is considered. Besides a necessary and sufficient condition for the convexity of the feasible set, sufficient optimality conditions of Kuhn-Tucker and Fritz-John type are given.

ISSN:0323-3898    

DOI:10.1080/02331937908842581

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

To solve a nonlinear optimization problem a barrier method is given that may start in an arbitrary point and the sequential solutions of which can be taken as starting points for solving the subsequent sequential problems, respectively. At each step the violation of the constraints becomes diminished in such away that after a finite number of steps the interior of the feasible region of the original program is reached.

ISSN:0323-3898    

DOI:10.1080/02331937908842582

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

D. Plachky, L. Baringhaus, N. Schmitz: Stochastik I. Akademische Verlagsgesellschaft, Viesbaden 1978, 246 S., 11 Abb., kart., DM 22.

ISSN:0323-3898    

DOI:10.1080/02331937908842583

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

In some recent publications it was shown that certain stationary stochastic dynamic programming problems with general state and action spaces can be solved by generalized linear programming. It Is the main aim of the present paper to demonstrate that a similar linear programming approach is feasible even in the non-stationary case. For this end, we formulate a programming problem (D*) and show that (D*) is equivalent to the problem of finding ap=optimal policy for the stochastic dynamic program, whereas a modification of (D*) turns out to be the dual program of a pair of general linear programs.

ISSN:0323-3898    

DOI:10.1080/02331937908842584

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

K. S. Fu (ed.) Syntactic Pattern Recognition, Applications. Communication and Cybernetic s Vol. 14. Springer-Verlag, Berlin-Heidelberg-New York 1977, 270 S., DM 85.

ISSN:0323-3898    

DOI:10.1080/02331937908842585

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

This paper continues investigations on applications of a new general duality principle for parametric variational problems of simple integrals under state restrictions. Instead of graph theory methods by part I, now linear programming methods are used for approximative computations of the optimal value.

ISSN:0323-3898    

DOI:10.1080/02331937908842586

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

An optimal control problem with singularly perturbed linear dynamics and convex cost is considered. Sufficient conditions for controllability of the perturbed system and uniform convergence of the optimal solution upon the singular parameter are given. Extensions of known results are presented.

ISSN:0323-3898    

DOI:10.1080/02331937908842587

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

R. Trappel and G. Pask (eds.) Progress in Cubernetics and Sustems Research, Volume IV. Hemisphäre Publishing Corporation, Washington/London. Distributed soley by Halsted Press, a Division of J. Wiley ∧ Sons, New York 1978, $ 28,50.

ISSN:0323-3898    

DOI:10.1080/02331937908842588

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

The optimization of a functional under restrictions given by an infinite dimensional linear system of differential equations is considered. A method is given for construction of an optimal process.

ISSN:0323-3898    

DOI:10.1080/02331937908842589

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

T. Fujii and R. Sato (eds.): Resource Allocation and Division of Space. Lecture Notes in Economics and Mathematical Systems Vol. 147, Springer-Verlag Berlin-Heidelberg-New York 1977, 184 S., DM 18.

ISSN:0323-3898    

DOI:10.1080/02331937908842590

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor