Name: Age Replacement and Service Rate Control of Stochastically Degrading Queues (en Inglés)
SKU: 59799808
Price: 32510.00 CLP
Availability: InStock
Author: Chapin, Patrick S.
ISBN: 9781288308132

portada Age Replacement and Service Rate Control of Stochastically Degrading Queues (en Inglés)

Age Replacement and Service Rate Control of Stochastically Degrading Queues (en Inglés)

Formato

Libro Físico

Autor

Patrick S. Chapin

Editorial

Biblioscholar

Idioma

Inglés

N° páginas

104

Encuadernación

Tapa Blanda

Dimensiones

24.6x18.9x0.6 cm

Peso

0.20 kg.

ISBN13

9781288308132

Categorías

Educación

Age Replacement and Service Rate Control of Stochastically Degrading Queues (en Inglés)

Patrick S. Chapin (Autor) · Biblioscholar · Tapa Blanda

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Reseña del libro "Age Replacement and Service Rate Control of Stochastically Degrading Queues (en Inglés)"

This thesis considers the problem ofoptimally selecting a periodic replacement time for a multiserver queueing system in whicheach server is subject to degradation as a function of the mean service rate and a stochastic and dynamic environment. Also considered is the problem of optimal service rate selection for such a system. In both cases, the performance metric is the long-run average cost rate. Analytical expressions are obtained, in terms of Laplace transforms, for the nonlinear objective functions, necessitating the use of numerical Laplace transform inversion to evaluate candidate solutions in conjunction with standard numerical algorithms. Due to the convexity of the objective function, the optimal replacement time is computed using a hybrid bisection-secant method which yields globally optimal solutions. The optimal service rates are obtained via gradient search methods but are only guaranteed to provide locally optimal solutions. The analytical results are implemented on three notional examples that demonstrate the benefits of dynamically adjusting service rates under the described maintenance policy.