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Formalizing hierarchical scheduling for refinement of real-time systems

Formalizing hierarchical scheduling for refinement of real-time systems
Formalizing hierarchical scheduling for refinement of real-time systems
The Event-B formalism offers a stepwise development approach for managing complexity in system design. However, the existing work that extends Event-B models with discrete timing properties inadequately represents the communication and competition between concurrent tasks in concurrent systems. In this paper, we present the semantics of the parameterized real-time trigger-response properties of Event-B models based on timing invariants. We show a method of syntactically encoding parameterized real-time trigger-response properties in Event-B machines. To capture the concurrency between tasks, we distinguish end-to-end timing properties and scheduler-based timing properties from the perspective of different system design phases. We model end-to-end timing properties as parameterized timing properties and scheduler-based timing properties as unparameterized timing properties. A nondeterministic queue-based scheduling framework is proposed to replace end-to-end timing properties with scheduler-based timing properties. Additional gluing invariants are provided for this refinement. To demonstrate the usability of the framework, we formalize a two-level hierarchical scheduling system with local resource sharing managed by a time-division multiplexing global scheduler and two alternative local schedulers refined by the nondeterministic queue-based scheduling policy. Models are proved using the Rodin tool.
0167-6423
Zhu, Chenyang
67a1c085-5e0b-4dcf-8770-b99c520115fc
Butler, Michael
54b9c2c7-2574-438e-9a36-6842a3d53ed0
Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea
Zhu, Chenyang
67a1c085-5e0b-4dcf-8770-b99c520115fc
Butler, Michael
54b9c2c7-2574-438e-9a36-6842a3d53ed0
Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea

Zhu, Chenyang, Butler, Michael and Cirstea, Corina (2020) Formalizing hierarchical scheduling for refinement of real-time systems. Science of Computer Programming, 189, [102390]. (doi:10.1016/j.scico.2020.102390).

Record type: Article

Abstract

The Event-B formalism offers a stepwise development approach for managing complexity in system design. However, the existing work that extends Event-B models with discrete timing properties inadequately represents the communication and competition between concurrent tasks in concurrent systems. In this paper, we present the semantics of the parameterized real-time trigger-response properties of Event-B models based on timing invariants. We show a method of syntactically encoding parameterized real-time trigger-response properties in Event-B machines. To capture the concurrency between tasks, we distinguish end-to-end timing properties and scheduler-based timing properties from the perspective of different system design phases. We model end-to-end timing properties as parameterized timing properties and scheduler-based timing properties as unparameterized timing properties. A nondeterministic queue-based scheduling framework is proposed to replace end-to-end timing properties with scheduler-based timing properties. Additional gluing invariants are provided for this refinement. To demonstrate the usability of the framework, we formalize a two-level hierarchical scheduling system with local resource sharing managed by a time-division multiplexing global scheduler and two alternative local schedulers refined by the nondeterministic queue-based scheduling policy. Models are proved using the Rodin tool.

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scp2019 - Accepted Manuscript
Restricted to Repository staff only until 9 January 2021.
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Accepted/In Press date: 1 January 2020
e-pub ahead of print date: 9 January 2020
Published date: April 2020

Identifiers

Local EPrints ID: 437484
URI: http://eprints.soton.ac.uk/id/eprint/437484
ISSN: 0167-6423
PURE UUID: d4b98940-690b-4351-a715-d839042d83b5
ORCID for Chenyang Zhu: ORCID iD orcid.org/0000-0002-2145-0559
ORCID for Michael Butler: ORCID iD orcid.org/0000-0003-4642-5373

Catalogue record

Date deposited: 31 Jan 2020 17:34
Last modified: 01 Feb 2020 01:26

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