## Stochastic Transition Systems (1998)

Citations: | 33 - 4 self |

### BibTeX

@INPROCEEDINGS{Alfaro98stochastictransition,

author = {Luca De Alfaro},

title = {Stochastic Transition Systems},

booktitle = {},

year = {1998},

pages = {423--438},

publisher = {Springer-Verlag}

}

### OpenURL

### Abstract

. Traditional methods for the analysis of system performance and reliability generally assume a precise knowledge of the system and its workload. Here, we present methods that are suited for the analysis of systems that contain partly unknown or unspecified components, such as systems in their early design stages. We introduce stochastic transition systems, a high-level formalism for the modeling of timed probabilistic systems. Stochastic transition systems extend current modeling capabilities by enabling the representation of transitions having unknown delay distributions, alongside transitions with zero or exponentially-distributed delay. We show how these various types of transitions can be uniformly represented in terms of nondeterminism, probability, fairness and time, yielding efficient algorithms for system analysis. Finally, we present methods for the specification and verification of long-run average properties of STSs. These properties include many relevant performance and re...

### Citations

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Citation Context ...sed to measure the expected time spent at system states, weighted by a function ff; the "cost" associated to system transitions, expressed by fi; or a combination of the two. 10 In GSPN rewa=-=rd models [CMT91]-=- it is possible to associate a reward rate to the places and transitions of the net; [Cla96] and [Ber97] propose methods for associating a reward with each state of the Markov chain generated from a P... |

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Citation Context ...ed delay distributions, and by introducing the possibility of nondeterministic choice among enabled immediate transitions. STSs extend in a similar way also the probabilistic finite-state programs of =-=[PZ86]-=- and the real-time probabilistic processes of [ACD92]. The introduction of nondeterminism and of transitions with unspecified delay distributions, and the capability to deal with these features in the... |

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Citation Context ...-0096 (DARPA), by the ONR YIP award N00014-95-1-0520, by the NSF CAREER award CCR-9501708, and by the NSF grant CCR-9504469. nets [ABC84] and of stochastic process algebras such as TIPP [GHR93], PEPA =-=[Hil96]-=- and EMPA [BG96] with the introduction of nondeterminism and of transitions with unspecified delay distribution. These features enable the modeling of unknown (or imprecisely known) arrival rates and ... |