Table Of Content

MPA/RTC CausalityProblem CausalityClosure Conclusion Arrival Curves for Real-Time Calculus: the Causality Problem and its Solutions Karine Altisen and Matthieu Moy Verimag(GrenobleINP) Grenoble France TACAS, 25 March 2010 MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <1/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Models for Performance Analysis y Unreachable bilit zone a Analytical Models s aly (Real−Time Calculus) n A Detailed useless Computational zone Models Precision, faithfulness MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <2/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Models for Performance Analysis y Unreachable bilit zone a Analytical Models s aly (Real−Time Calculus) n A Detailed useless Computational zone Models Precision, faithfulness MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <2/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Summary 1 Introduction: Modular Performance Analysis 2 The Causality Problem for Arrival Curves 3 The Causality Closure: Solving the Causality Problem 4 Conclusion MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <3/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Summary 1 Introduction: Modular Performance Analysis 2 The Causality Problem for Arrival Curves 3 The Causality Closure: Solving the Causality Problem 4 Conclusion MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <4/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Modular Performance Analysis (MPA): The Big Picture Module events Module events events (Transformer) (Transformer) Module events (Transformer) events MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <5/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Modular Performance Analysis (MPA): The Big Picture timed Module timed Module timed behavior (Transformer) behavior (Transformer) behavior timed Module timed behavior (Transformer) behavior MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <5/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Modular Performance Analysis (MPA): The Big Picture Modelling timed Module timed Module timed behavior (Transformer) behavior (Transformer) behavior timed Module timed behavior (Transformer) behavior Computed Abstractions MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <5/32> (cid:73) MPAuses“ArrivalCurves”. “Modules” = Arrival Curve transformers: (cid:73) FIFO+processingelement(deﬁnedby“servicecurves”) (cid:73) Canalsobea“program” MPA/RTC CausalityProblem CausalityClosure Conclusion Modular Performance Analysis (MPA) Modelling timed Module timed Module timed behavior (Transformer) behavior (Transformer) behavior timed Module timed behavior (Transformer) behavior Computed Abstractions What can “Timed Behavior” be? (cid:73) Numberofeventspertimeunit? (cid:73) Boundsfornumberofevents? MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <6/32> MPA/RTC CausalityProblem CausalityClosure Conclusion Modular Performance Analysis (MPA) Modelling timed Module timed Module timed behavior (Transformer) behavior (Transformer) behavior timed Module timed behavior (Transformer) behavior Computed Abstractions What can “Timed Behavior” be? (cid:73) Numberofeventspertimeunit? (cid:73) Boundsfornumberofevents? (cid:73) MPAuses“ArrivalCurves”. “Modules” = Arrival Curve transformers: (cid:73) FIFO+processingelement(deﬁnedby“servicecurves”) (cid:73) Canalsobea“program” MatthieuMoy (Verimag) CausalityinRTC TACAS,25March2010 <6/32>

Description:

A pair of arrival curve (αu,αl) is causal iff an event stream conformant with (αu,αl) up to time t can be extended into a stream conformant with (αu,αl) forever. i.e., (αu,αl) is causal iff the associated generator has no deadlock. Matthieu Moy (Verimag). Causality in RTC. TACAS, 25 March 2

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