Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Age Replacement and Service Rate Control of Stochastically Degrading Queues

Age Replacement and Service Rate Control of Stochastically Degrading Queues

Chapin, Patrick S.

Paperback

Business GeneralGeneral EducationProbability & Statistics

ISBN10: 1288308132
ISBN13: 9781288308132
Publisher: Biblioscholar
Published: Nov 16 2012
Pages: 102
Weight: 0.34
Height: 0.21 Width: 6.14 Depth: 9.21
Language: English

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.

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