摘要:

Consider the problem, to minimizef{x) subject toare differentiable functions. Mangasariak has given sufficient Lagrangian conditions forxoto be an optimal point, when / is pseudo-convex andgtis quasi-concave whenevergi(xQ) = 0. Various authors have recently extended these and similar results to the problem, to minimize Ref(z,[zbar]) subject tog(z,[zbar]) whereare analytic functions, andSis a convex cone. Sufficiency theorems were obtained, assuming that / has pseudo-convex real part, andgis concave with respect toS. The latter was not weakened to multi concavity for the tight constraints only, sinceg(a,ⱥ) on the boundary of the coneSdoes not correspond to certain components ofg(a,ⱥ) vanishing. We show here how the assumptions ongcan be weakened to quasi-concavity with respect to a- convex cone containingS. WhenSis polyhedral, this corresponds to quasi-concavity over tight constraints, as in the real case.

ISSN:0323-3898    

DOI:10.1080/02331937708842441

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

ISSN:0323-3898    

DOI:10.1080/02331937708842443

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

ISSN:0323-3898    

DOI:10.1080/02331937708842444

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

ISSN:0323-3898    

DOI:10.1080/02331937708842445

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

In this is proved that in Banach space a continuous bounded-convex function has a Lipschitz-continuous Frechet-derivation.

ISSN:0323-3898    

DOI:10.1080/02331937708842446

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

The optimization algorithm of Krylov and Ĉernous'ko is applied to discrete processes. Convergence statements are given for linear problems as for problems involving linear differece equations and a quadratic objective function. The behaviour of the algorithm at the approximation of continuous processes by discrete ones is investigated.

ISSN:0323-3898    

DOI:10.1080/02331937708842448

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

Using two relations between virtual and actual waiting time distribution, it is shown that the stationary waiting times in GI/GI/1 queues, where both service and inter-arrival time distributions are of type 1SFBUE, are stochastically smaller than in M/M/1 with the same traffic intensity. Furthermore, a relation between virtual waiting time and distribution of number of customers m system is discussed.Finally, using a result of Köllerström a bound for the stationary waiting time distribution being a rational function is given, and it is shown that the coefficient of variation of stationary waiting times is greater than one.

ISSN:0323-3898    

DOI:10.1080/02331937708842449

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

Markovian decision processes with unbounded one-period costs and average cost criterion are treated. For a inventory modal the optimality of (s, S)-policies is shown and a computational method is given. Similar results for a replacement problem are presented.

ISSN:0323-3898    

DOI:10.1080/02331937708842450

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

The paper considers Markovian queues. A rarely discussed characteristic, the discounted cost is analysed. Some continuity properties of the distribution function of he discounted cost are proved. The method used here seems to be applicable to more indicated systems as well.

ISSN:0323-3898    

DOI:10.1080/02331937708842451

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor

摘要:

A 2-Unit standby redundant system with switching failure modes:Transfer switch and connect switch is considered. Failure distributions of units and connect switch are exponential and repair time distribution are general.Stochastic behaviour of the system has been studied by semi-Markov process and parameters of interest, e.g/., MTSF, expected numbers of visits to a state, steady-state availability, net profit have been obtained MTSF has been studied for its behaviour. Several earlier models are shown as particulate cases.

ISSN:0323-3898    

DOI:10.1080/02331937708842452

出版商:Akademic-Verlag    

年代:1977

数据来源: Taylor