ISSN:0323-3898    

DOI:10.1080/02331937808842481

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

The formula for calculating the number of feasible solutions to a knapsack problem given by O. Achou is converted so that only rational numbers appear and all complex roots of unity are removed.

ISSN:0323-3898    

DOI:10.1080/02331937808842482

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

In contrast to the numerous known statements of sharpening cuts stronger in modified Gomory this paper will inform about a possibility to make cuts stronger in modified Gomory-algorithms. These modified Gomory-algorithms are characterized in generating cuts using nonfeasible basic solutions too. It is shown that the relation between cuts defined in this note represents an enlargement of the relation of dominance by Piehler.

ISSN:0323-3898    

DOI:10.1080/02331937808842483

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

Three popular feasible direction methods for solving convex programming problems are reformulated so that they now work in the absence of Slater’s condition or any other constraint qualification.

ISSN:0323-3898    

DOI:10.1080/02331937808842484

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

Problems of optimal control in Banach spaces are transformed in optimization problems, in which the directional derivatives of the operators and functionals satisfy some conditions of convexity and optimality. Necessary optimality conditions are derived by separation of a closed convex cone from a point outside of itself. The condition of “complementary slackness” is not necessary. The mentioned cone need not to possess inner points. The results are applied to the given control problem and are formulated as maximum principle. Examples are given.

ISSN:0323-3898    

DOI:10.1080/02331937808842486

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

For the parameter dimension problem of the extended Bellmanean functional equation, we have to obtain appropriate reduction methods. For this purpose, we define the concept “minimal parametric computation set of a functional equation” and develop approximation methods on the basis of this concept. Furthermore, a general conception and examples of error estimates of these approximation methods are given.

ISSN:0323-3898    

DOI:10.1080/02331937808842487

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

In this paper the investigation concerns the interpretation of stationery and PALM distribution for stochastic point processes as a description of statistical equilibrium of a system in continuous time or from the point of view of certain events, which frequently used in the applications of point processes in the queneign theory.

ISSN:0323-3898    

DOI:10.1080/02331937808842488

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

Some inequalities conjectured by Stoyan for GI/G/mqueues are proved and generalised.

ISSN:0323-3898    

DOI:10.1080/02331937808842489

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

By means of a general formula for stochastic processes with imbedded marked point processes (PMP) some necessary and sufficient condition is given for the validity of a relationship, which is well-known in the case of exponentially distributed service times, between stationary time and customer state probabilities for loss systems G/GI/s/O (Theorem 3). A result of Miyazawa for the GI/GI/l/∞ queue is generalized to the case of non-recurrent interarrival times (Theorem 4)-. Furthermore, bounds are derived for the mean increment of the waiting time process at arrival epochs and for the mean actual waiting time in multi-server queues.

ISSN:0323-3898    

DOI:10.1080/02331937808842490

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

In this paper a survey about the following directions of generalizations for separation theorems involving some new results are given: Separation of finite families of convex sets; separation of sets in product spaces; separation of convex sets in projective spaces; separation of convex sets in convexity spaces. As a basis for all these considerations vector spaces without topology are used.

ISSN:0323-3898    

DOI:10.1080/02331937808842491

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor