Reliability Analysis of a Controllable Queueing System with Two Heterogeneous Servers Subject to Failures
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
European Conference on Queueing Theory
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
To make modern communication systems superior in performance and reliability to the previous generation systems
they can be supplied with heterogeneous communication links. Such links can differ in availability, link data
throughputs, power consumption and reliability characteristics. To model the dynamic behaviour of the links with
different properties a queueing system with non-reliable heterogeneous servers can be used. While the first steps in
the performance analysis of controllable heterogeneous queueing systems have already been developed for completely
reliable servers, a missing link to an applicability of these models is reliability analysis of such queues with servers
subject to failures. In this paper we use a matrix transform based method to evaluate reliability measures such as
reliability function and mean time to the first failure for each server separately and for the total service facility under
the fixed threshold allocation control policy. The reliability functions are obtained in terms of the Laplace transform
and numerical inversion algorithm is used to get the time dependent functions. Additionally a new discrete reliability
metric which can be treated as a discrete counterpart to the distribution of the time to failure is introduced. This
function specifies the distribution of the number of repairs of the server until a complete failure of the service facility
occurs. Some numerical examples illustrate the efficiency of the proposed algorithms.
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