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Duration Calculus

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Modelling Availability<br />

• Normal service for trusted clients x% of the time<br />

(ℓ > T ⇒ ( <br />

Runi) ≤ (1 − x) · ℓ)<br />

i∈γ<br />

• Request of ci completed within p · ci<br />

∀i ∈ γ.♦r(ℓ ≤ p · ci ⇒ Runi = ci)<br />

Assumptions about the strength of bad clients can be modelled<br />

using similar techniques<br />

Is availability guaranteed under the assumptions?<br />

(Scheduler ∧ Ass γ ∧ Assβ ∧ R(¯x)) ⇒ Availability<br />

a first attemp Hansen Sharp 03<br />

Tallinn, November 17- 21, Michael R. Hansen – p.28/29

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