摘要:

In this paper linear control-approximation problems in normed spaces are considered. The control-approximation problems are transformed into several “fit” optimizaion problems by the aid of the Fenchell-Rockafellar duality theorem. Hitherto in the literature such optimization problems have been constructed in a different way. The duality theorem of Fenchel-Rockafellar enables a completely uniform treatment and provides known propositions and also new results.

ISSN:0323-3898    

DOI:10.1080/02331938108842732

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

An immediate, but apparently not yet published, alternative definition for quasiconvex functions is given for the case of continuity. This, then, is immediately generalized to α-quasiconvex functions with values from a connected quasiorder. Finally, the results obtained are investigated with respect to quasinimonotonic functions, including results on midpoint-quasimonotonic and rational-quasimonotonic functions.

ISSN:0323-3898    

DOI:10.1080/02331938108842733

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

We discuss the basic scheme and convergence conditions of variable dimension algorithms for computing fixed points and show the analogy of the recent algorithm of van der Laan and Talman with a restart) algorithm using primitive sets that was devel-oped earlier by Tuy-Thoai-Muu. Furthermore, we show that to each algorithm of the class developed by van der Laan and Talman one can associate an algorithm using primi-tive sets wnich proceeds according to the same scheme but with a different triangulation.

ISSN:0323-3898    

DOI:10.1080/02331938108842734

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

For unconstraint minimization problems having a known optimal value a multistep method with a fixed step-length is given. The local convergence and a superlinear rate of convergence is proved. This method is inserted in a general one which is global convergent under the condition that the optimal value is only known approximately.

ISSN:0323-3898    

DOI:10.1080/02331938108842735

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

For sloving the unimodular min cost potential problem a primal algorithm using basic solutions is presented. The efficiency of the procedure is based on an effective way of transformation of the set of basic cycles and basic cocycles.

ISSN:0323-3898    

DOI:10.1080/02331938108842736

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

In the present paper a general concept of duality is stated. It is applied on discrete deterministicN-stage decision processes.

ISSN:0323-3898    

DOI:10.1080/02331938108842737

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

Stochastic dynamic zero-sum two-person games are considered. The maximal total expected costs of the first player are the criterion where the maximum is taken on all of the strategies of the second player. Sufficient conditions of the existence of optimal resp. (μ, ε)-optimal strategies are given by methods of dynamic programming.

ISSN:0323-3898    

DOI:10.1080/02331938108842738

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

In many real-world problems it is interesting to know the whole set of optimal or e-optimal policies of a finite-state, finite-action undiscounted Markovian Decision Problem. For finding all optimal or e-optimal policies of such a given problem we present in many real-world problems it is interesting to know the whole set of optimal or e-optimal policies of a finite-state, finite-action undiscounted Markovian Decision Problem. For finding all optimal or e-optimal policies of such a given problem we present sideration of subproblems which will be solved by Howard'S policy iteration.

ISSN:0323-3898    

DOI:10.1080/02331938108842739

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

In the paper the problem of optimum inspecting of a replaceable system is considered. The criterion of optimization is the long-run availability. Optimum inspection strategies are given for the following cases: 1) the downtime cost of the system is positive and 2) the downtime cost of the system is negligible small.'The probability distribution function of the system life is assumed to be unknown with exception of the mean system life.

ISSN:0323-3898    

DOI:10.1080/02331938108842740

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor

摘要:

In this paper a method is stated to conclude that the output of given queueing system is POISSON from the steady-state probabilities and from the behavior of the queueing system at jump epochs, i.e. at epochs when the system state can be changed. The corresponding statement for queueing systems described by Markov processes with denumber-able state space will be generalized to systems which can have arbitrary service time distributions if the steady-state probabilities are insensitive with respect to these distributions.

ISSN:0323-3898    

DOI:10.1080/02331938108842741

出版商:Akademic-Verlag    

年代:1981

数据来源: Taylor