摘要:

We consider pure integer programming problems with congruence restrictions to arbitary models in addition to the equality or inequality constrains. A cutting plane method is given without enlarging the basis by the congruences.

ISSN:0323-3898    

DOI:10.1080/02331937708842414

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

Conjugate functions introduced in nonlinear programming by Fenchel are closely connected with polarity with respect to a special hypersurface of the order two. In the paper a wider class of conjugate functions is considered, basing on the polarity with respect to a nondegenerate hypersurfaceφof order two. Important properties of so-calledφ-conjugate sets andφ-conjugate functions are given.

ISSN:0323-3898    

DOI:10.1080/02331937708842415

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

Kuhn-Tucker and Fritz John type sufficient optimality conditions are given for a nonlinear programming problem in presence of quasi-convex inequality and equality constraints.

ISSN:0323-3898    

DOI:10.1080/02331937708842416

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

The paper deals with the minimax problems (2), (3) for probability distribution functionsGor bounded measurable functionsgand bounded measurable or quadratic summable functionsfwith the restrictions (6), (7) and (8), respectively. Under suitable assumptions apart from elementary cases the optimal solutionsGorgandfcan be calculated by means of certain Fredholm integral equations.

ISSN:0323-3898    

DOI:10.1080/02331937708842417

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

Using Karlin’s [4] weak game values, a ‘weakly determined’ game is introduced. Conditions for weak determinateness of games and for strict determinateness of weakly determined games are presented. Finally, generalizations of some well-known minimax theorems are derived from these results.

ISSN:0323-3898    

DOI:10.1080/02331937708842418

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

In this article we analyse parametric linear fractional programming problems. In these problems all coefficients of the numerator and (or) of the denominator of the objective function and (or) all right hand sides are parameters. The analysis deals with the characterization of the set of those parameters, for which the supremum of the objective function of such a problem is finite resp. the problem is solvable. In further deals with the form and the qualities of local stability sets, of a unique partition of the solvability set and qualities of the supremum-function and the solution-function. All researches we made without any algorithm for linear fractional programming problems.

ISSN:0323-3898    

DOI:10.1080/02331937708842419

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

We consider a stationary dynamic program with general state and action spaces and with an unbounded reward function. Taking a martingale approach to the optimization problem we derive several necessary and sufficient conditions for the validity of Howard's policy improvement method. The conditions hold both in the positive and negative ease. By means of these results we can construct a sequence of stationary policies for which the expected rewards converge to the value function. The construction is a straightforward generalization of the method given by Frid [3].

ISSN:0323-3898    

DOI:10.1080/02331937708842420

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

This paper presents models in l-out-of-2:F system. In Model 1, one unit is exposed to cumulative damage process and the other unit lias a constant failure rate. In Model 2, the two units are exposed to cumulative damage processes. They have exponential thresholds and exponential inter-damage times. Introducing a repair facility which repairs ail the damages one by one after the system-failure, this paper treats the joint Laplace transforms of the up and the down times. Marginal down time distributions .are calculated when there exists a repair facility for every damage.

ISSN:0323-3898    

DOI:10.1080/02331937708842421

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

In this paper a queuing system G/GI/ ∞ with stationary input is considered. It is given a necessary and sufficient condition for existing with the probability 1 of an infinite number of moments of calls, in which the system is empty.

ISSN:0323-3898    

DOI:10.1080/02331937708842422

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

In this paper general interior and exterior penalty methods are considered and their essential properties are summarized. Penalty-shifting methods are also contained in this survey.

ISSN:0323-3898    

DOI:10.1080/02331937708842424

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor