摘要:

In this paper we compute the fenchel-conjugate of the functionalsp1+P2suppiandpAgiven on a linear topological space. We establish necessary and sufficient i=1,2

ISSN:0323-3898    

DOI:10.1080/02331938108842700

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

The main facts concerning the construction principle for equivalent optimization problems are cited. Based on this principle, different notions of equivalence are considered and three approaches (discrete dynamic programming, construction of equivalent discrete problems, decomposition of problems on clutters) are classified and analysed. A generalization of the notion of equivalence concludes the paper.

ISSN:0323-3898    

DOI:10.1080/02331938108842701

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

For semi-infinite linear programs an easily verifiable Constraint Qualification is established, which is adapted to the considered type of programs. Under this condition a new duality theorem of semi-infinite linear programming is proved.

ISSN:0323-3898    

DOI:10.1080/02331938108842702

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

The purpose of this paper is to present classes of integer programming problems for which the existence of a feasible solution and the boundedness of the objective function are sufficient for the existence of an optimal solution to the problem.

ISSN:0323-3898    

DOI:10.1080/02331938108842703

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

I. Postlethwaite; A.G.J. Macfalane: A Complex Variable Approach to the Analysis of Linear Multivariable Feedback Systems. Lecture Notes in Control and Information Science Vol. 12. Springer-Verlag, Berlin-Heidelberg-New York 1979, 177 S., DM 21,50.

ISSN:0323-3898    

DOI:10.1080/02331938108842704

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

A condition is given for the compatibility of a solution of a system of linear inequalities with given error bounds for the coefficients and right hand sides. This condition is a generalization of a lemma of PRAGER/OETTLI. Application of the condition are given for optimization problems with linear inequality constraints and the revised simplex algorithm of linear optimization.

ISSN:0323-3898    

DOI:10.1080/02331938108842705

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

For the problem of minimizing a concave function over a convex polyedral-set an algorithm is given, which is based on the extension principle developed by Schoch. This algorithm yields after a finite number of steps an exact optimal solution of the problem. On the other hand one can find out throughout the algorithm an approximate optimal solution with any given precision.

ISSN:0323-3898    

DOI:10.1080/02331938108842706

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

The problem of one-dimensional multimodal minimization without and in the presence of noise is considered. Descriptions of algorithms and the results of minimization of test functions are given.

ISSN:0323-3898    

DOI:10.1080/02331938108842707

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

In this paper a general class of convex parabolic control problems with control appearing in the region or on the boundary is considered. Restrictions on the control as well as on the state are admitted. Necessary and sufficient conditions for optimality and a duality theorem will be derived.

ISSN:0323-3898    

DOI:10.1080/02331938108842708

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

Specifying results given in [4] the existence of stationary optimal strategies is proved. The numerical calculation of optimal strategies is investigated.

ISSN:0323-3898    

DOI:10.1080/02331938108842709

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor