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Issue No. 05 - May (2013 vol. 39)
ISSN: 0098-5589
pp: 638-657
Laura Carnevali , Università di Firenze
Alessandro Pinzuti , Università di Firenze
Enrico Vicario , Università di Firenze
Hierarchical Scheduling (HS) techniques achieve resource partitioning among a set of real-time applications, providing reduction of complexity, confinement of failure modes, and temporal isolation among system applications. This facilitates compositional analysis for architectural verification and plays a crucial role in all industrial areas where high-performance microprocessors allow growing integration of multiple applications on a single platform. We propose a compositional approach to formal specification and schedulability analysis of real-time applications running under a Time Division Multiplexing (TDM) global scheduler and preemptive Fixed Priority (FP) local schedulers, according to the ARINC-653 standard. As a characterizing trait, each application is made of periodic, sporadic, and jittering tasks with offsets, jitters, and nondeterministic execution times, encompassing intra-application synchronizations through semaphores and mailboxes and interapplication communications among periodic tasks through message passing. The approach leverages the assumption of a TDM partitioning to enable compositional design and analysis based on the model of preemptive Time Petri Nets (pTPNs), which is expressly extended with a concept of Required Interface (RI) that specifies the embedding environment of an application through sequencing and timing constraints. This enables exact verification of intra-application constraints and approximate but safe verification of interapplication constraints. Experimentation illustrates results and validates their applicability on two challenging workloads in the field of safety-critical avionic systems.
Real time systems, Complexity theory, Time division multiplexing, Job shop scheduling, Timing, Resource management, Petri nets, symbolic state-space analysis, Real-time systems, hierarchical scheduling, ARINC-653, time division multiplexing, preemptive fixed priority, compositional verification, preemptive time Petri nets

L. Carnevali, A. Pinzuti and E. Vicario, "Compositional Verification for Hierarchical Scheduling of Real-Time Systems," in IEEE Transactions on Software Engineering, vol. 39, no. , pp. 638-657, 2013.
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