Solving dependability/performability irreducible markov models using regenerative randomization
نویسندگان
چکیده
منابع مشابه
Solving dependability/performability irreducible Markov models using regenerative randomization
Markov models are commonly used to asses the dependability/performability of fault-tolerant systems. Computation of many dependability/performability measures for repairable fault-tolerant systems requires the transient analysis of irreducible Markov models. Examples of such measures are the unavailability at time and the -expected interval unavailability at time . Randomization (also called un...
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In this paper we generalize a method (called regenerative randomization) for the transient solution of continuous time Markov models. The generalized method allows to compute two transient measures (the expected transient reward rate and the expected averaged reward rate) for rewarded continuous time Markov models with a structure covering bounding models which are useful when a complete, exact...
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In this paper, we develop a new method, called regenerative randomization, for the transient analysis of continuous time Markov models with absorbing states. The method has the same good properties as standard randomization: numerical stability, well-controlled computation error, and ability to specify the computation error in advance. The method has a benign behavior for large t and is signifi...
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Two clarifications are needed. The Laplace transform inversion algorithm used in the numerical method described in the paper [1] differs essentially from the one implemented in the DLAINV FORTRAN subroutine described in [27] only in that: (1) the discretizacion error is strictly controlled using the values for a given by the third displayed equation on page 94, left column and the first two dis...
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In this paper we develop a variant, regenerative randomization with Laplace transform inversion, of a previously proposed method (the regenerative randomization method) for the transient analysis of rewarded continuous time Markov models. Those models find applications in dependability and performability analysis of computer and telecommunication systems. The variant differs from regenerative r...
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ژورنال
عنوان ژورنال: IEEE Transactions on Reliability
سال: 2003
ISSN: 0018-9529
DOI: 10.1109/tr.2003.818715