摘要:

After having defined the rank of a GOMORY cut as a certain quantity characterizing the possibility of its scarpening and deriving some simple properties of the rank the existence of locally scarp cuts in cyclic groups is discussed. Furthermore, the considerations about the rank are applied to decide the solvability of diophantine equations in nonnegative integers and these results are used for scarpening cuts.

ISSN:0047-6277    

DOI:10.1080/02331887408801167

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

In this paper FENCHEL'S duality theorem is proved for convex optimization problems in a real vector space and its algebraical dual space, respectively; it is not necessary for this vector space to be finite dimensional. Moreover, we give some results on polar cones and projection cones of convex sets.

ISSN:0047-6277    

DOI:10.1080/02331887408801168

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

In the paper we prove the convergence of the method of feasible directions for the case of quasi-concave constraining functions. These results were already published but in a shorter form and amalgamated with a stochastic programming problem. Here we give a detailed and a more general treatment of the earlier results.

ISSN:0047-6277    

DOI:10.1080/02331887408801169

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

Under proper assumptions the minimum probiem (1.1) occuring in optimal control theory is reduced to the minimax problem of game theory (2.4). There are suggested some methods to solve this minimax problem. Especially a class of minimas problems (4.3) is treated which is analogous to the games over the unit square.

ISSN:0047-6277    

DOI:10.1080/02331887408801170

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

This paper studies a single server queuing model wherein arrivals are in groups following a time homogeneous POISSON process with the group size being a random variable and the server being available intermittently. Using the LAPLACE transform and the probability generating functions, the transient and the stationary distribution of queue size are discussed and in the steady state case various means are obtained explicitly.

ISSN:0047-6277    

DOI:10.1080/02331887408801171

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

In the paper a model for optimal scheduling of inspections is considered, which can be used for the description of numerous situations in industry, military and medicine. First the existence of an optimal inspection strategy is shown under some weak presumptiuns.Then methods are developed allowing their computation. Finally minimax-inspection strategies are given for the following cases: 1) The distribution of the lifetime of the.element is entirely unknown, 2) a percentile of this distribution is known and 3) the mean value of the lifetime is known.

ISSN:0047-6277    

DOI:10.1080/02331887408801172

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

Several methods for the solution of the maximum likelihood equation, which arrises if parameters of the gamma and beta distribution are to be estimated, are presented and compared with respect to their applicability for computers. These procedures are based on interations using the NEWTON-RAPHSON method and the scoring method and the scoring method. On the other hand they can be based on a certain algorithm for interval bisection with subsequent inverse parabolic interpolation in order to determine the zeros of the maximum likelihood equation. A study concerning Monte Carlo simulation for the estimation methods and numerical tables are given.

ISSN:0047-6277    

DOI:10.1080/02331887408801173

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

MANN and WALD [3] have given, for the first time, a formula for the choice of the optimal numberkof equi-probable class intervals for thex2-test.This formula leads to relatively highkfor different numbers of the sample size. For the determination ofkthey used the supremum norm in the space of distribution functions as distance notion.BEIER-KÜchler and NEUMANN [5] have improved these results and they found out thatkcan be reduced. In our paper a different norm in the space of distribution functions was used and the results are in good agreement with those of BEIER-KÜchler and NEUMANN.

ISSN:0047-6277    

DOI:10.1080/02331887408801174

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

Let there be a setFof mathematical modelsLm(x) for the description of the depend once of a real random variabley(x) on, wheremis an element of a subscript setMwhich may be continuous. Let. We suppose that the models are linearly dependent on the parameters. The observation errors ε(x) may be uncorrelated for different measurements, and. The problem is to find an experimental design which enables us to find the best possible estimate of the parameters for all models ofF. Therefore the following criteria are used: For a measureQ,on a σ algebra ofMwe consider the functionalsandwhereis the determinant of the information matrix of the modelLmfor the continuous design ξ. Properties of designs maximizingC(ξ) andS(ξ) are given. For instance a minimax property, and iterative computing procedures forCandS-optimal estimation and discrimination problems can be treated using the given method. A relationship to the results of S.M. STIGLER (1971) and A.C. ATKINSON (1972) is also indicated.

ISSN:0047-6277    

DOI:10.1080/02331887408801175

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor

摘要:

An essential condition for the synthesis of any system consits in its description. Here we only assume the existence of an analytical description of the dynamic system behaviour.Nowdays a sufficient number of different mathematical structures describing the system behaviour is known. Because of the incomplete a priori information adaptive models achieve considerable importance.Basing on continuous observations of the process these models correct and adapt those model-parameters, that determine the state of the model in accordance with varying system conditions. After a brief description on the identification a method for identifying dynamic systems is explained using adaptive models. Advantage of this method is the simple structure of the model and the possibility to adapt the model continuously.

ISSN:0047-6277    

DOI:10.1080/02331887408801177

出版商:Akademie-Verlag    

年代:1974

数据来源: Taylor