摘要:

In a former paper [1] the second author considered the twofold one parametric linear optimization problem with two independent parameters λ ϖRand μ ϖR. This paper described qualitative investigations and a procedure for solving this problem by a certain type of exhaustive algorithm which is rather difficult to handle. In the present paper the authors deal with the same problem, but now in the formThey give an alterantive algorithm which seems to be more effective than the former one. It describes a shortest route through the stability rectangles which result in solving the above problem: each rectangle is tonched only once. The authors prove that the algorithm takos care of all rectangles which can oeeur and they give an example.

ISSN:0047-6277    

DOI:10.1080/02331887108801043

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

A modification of the GOMORY-method for solving mixed-integer optimization problems is formulated. The revised simplex mothod is used instead of the usually applieddual simplex method. Then, the GOMORY-method is imbedded into a branch-and-bound-algorithm, giving a well-conditionedg numerical method for solving mixed-integer optimization probiems without some disadvantages of well-known alogrithms.

ISSN:0047-6277    

DOI:10.1080/02331887108801044

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

The following dual interpretation is given for the determination of directions in theZOUTENDIJE'S gradient method: Tne optimal feasible directions with respect to a certainorm are found in such a manner, that, the defect in the optimality condition measured in the dual norm is minimized.

ISSN:0047-6277    

DOI:10.1080/02331887108801045

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

This paper concerns control systems of the formfor which C. OLECR [2] showed that each point attainable fromx0, can also be attained by a piecewise extremal control function if the control regionsUare compact. This yiels the following continuity properties for “Bang-Rang” control functions:

ISSN:0047-6277    

DOI:10.1080/02331887108801046

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

This paper deals with the queuing systemM/G/m, i.e. with POISSON input, arbitrary service time distribution andm-servers (mChannels), under the assumption that the parameter of the PORSSON input is periodicai. Using former results for the dassind case, i.e. for constant parameter, the condition is given for the existence of the limiting distribution of the queue size of this system.

ISSN:0047-6277    

DOI:10.1080/02331887108801047

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

This paper deais with the model, wherex(t,s) denotes a known integrable function,. The problem is to estimate the unknown function β(s. We give a CAUSS-MARKOV estimator and its normal equation. In addition we investigate under what conditions the resulting G-M estimator remains invariant whenϵtis replaced by. Furthermore we give under certain additional information about βswhich can be used to obtain a better estimator for βsthan the G-M estimator is. We consider the following informations:is contained in a proper subspace of the setThe finite dimensional regression model represents a special case of the modell under consideration. As an application of the results we also give an example from the variance analysis.

ISSN:0047-6277    

DOI:10.1080/02331887108801048

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

G. R. Busacker, T. L. Saaty Endliche Graphen und Netzwerke. Eine Einführung mit Anwendungen, R. Oldenbourg, München-Wien 1968, 410 S., 180 Abb., 1 Tab., DM 74.

ISSN:0047-6277    

DOI:10.1080/02331887108801049

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

vom 5.-10. 10. 1970 im Seeba Heingsdorf/DDR.

ISSN:0047-6277    

DOI:10.1080/02331887108801050

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor