ON THE STRUCTURE OF THE SPACE OF GEOMETRIC PRODUCT-FORM MODELS
Probability in the Engineering and Informational Sciences
Call packing bound for overflow loss systems
Performance Evaluation
Erlang loss bounds for OT---ICU systems
Queueing Systems: Theory and Applications
Analysis of Delays Caused by Local Synchronization
SIAM Journal on Computing
Invited Analytic comparison results for communication networks
Computer Communications
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We consider a class of models for multicomponent systems in which components can break down and be repaired in a dependent manner and where breakdown and repair times can be arbitrarily distributed. The problem of calculating the equilibrium distribution and, from this, the expected performability for these models is intractable unless certain assumptions are made about breakdowns and repairs. In this paper we show that the performability of multicomponent systems that do not satisfy these rules can be bounded by tractable modifications. Our results are proved by stochastic comparability arguments and a Markov reward technique, which is of interest in itself as it enables one to prove that the equilibrium distribution of one process can be bounded by that of another even when the sample paths of the process are not. This is illustrated by an example.