摘要:

This inspection problem generalizes several administrative permutation problems. It is the search for noncyclic solutions to a lattice ofJrows andMcolumns. Many time table problems have this lattice structure. For given permutations of row vectors the problem is known as job-scheduling. For a particular column it is a travelling salesman problem. Some properties of the inspection problem are stated and a model is given for the static version. In the dynamic model inspection times and change-over times are taken into account.

ISSN:0047-6277    

DOI:10.1080/02331887108801051

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

In this treatment are considered coefficient perturbations in linear programming problems. For two cases the effects of these perturbations on the elements of the simplex-table are given. The first case consists in the linear dependence of the coefficients of one or several columns on one parameter, the second in the linear dependence of some columns of coefficients each on one parameter. It is shown, how formulas of perturbation according to the case of the polynomial dependence on one parameter and for the case of the simultaneous linear dependebce on some parameters can be formed. Finally and example of parametric linear programming with two columns of coefficients, which depend each on one parameter is presented.

ISSN:0047-6277    

DOI:10.1080/02331887108801052

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

A generalized Erlang-model is treated. The calls form a Poisson process. If every line is busy the call is lost. Holding times, times of repair a.s.o. are described in terms of signed point processes. On each line the holding time is not assumed to be independent of time of repair or other characteristics. The whole model is described as a Markov process. Then a time-discrete Markov process describes the same system only observed at such times, when call arrive. It is shown that the stationary distributions of both proceses are the same (Theorem 1). A direct proof is given that the so-called “Produktansatz” based on Erland's formula is a stationary distribution for the discrete process (Theorem 2).

ISSN:0047-6277    

DOI:10.1080/02331887108801053

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

In a paper published by Farlie [2] the efficiency of independence test using several test statistics (rank correlation coefficients, ordinary sample correlation coefficient) for a more special class of two-dimensional distributions was examined. The present paper generalizes these results for a wider class of two-dimensional distributions with finite contingency. In the theorems 3 and 4 sufficient and necessary cirteria are given for the cases in which the above statistics are as efficient in the sense of Pitman as the statistics most efficient in the sense of Pitman whose existence is confirmed under certain conditions of regularity but generally unknown. It is then possible to replace this unknown test statistics by the known statistics.

ISSN:0047-6277    

DOI:10.1080/02331887108801054

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

Frederick S. Hillier, Gerald J .Lieberman: Introduction to Operations Research Solutions Manual, 1968, 149 S. Holden-Day, San Francisco 1967, X, 639 S., $ 16.00.

ISSN:0047-6277    

DOI:10.1080/02331887108801055

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor

摘要:

Bericht über die Vortagsreihe ” Mathematische Methoden der Operationsforschung“ auf dem XV. Internationalen Wissenschaftlichen Kolloquium der Technischen Hochschule Ilmenau.

ISSN:0047-6277    

DOI:10.1080/02331887108801056

出版商:Akademie-Verlag    

年代:1971

数据来源: Taylor