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Constraint Programming with External Worst-Case Traversal Time Analysis

Authors Pierre Talbot , Tingting Hu, Nicolas Navet

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Author Details

Pierre Talbot
  • University of Luxembourg, Luxembourg
  • Interdisciplinary Centre for Security, Reliability and Trust (SnT), Luxembourg
Tingting Hu
  • University of Luxembourg, Luxembourg
Nicolas Navet
  • University of Luxembourg, Luxembourg

Funding

  • Talbot, Pierre: This work is supported by the Luxembourg National Research Fund (FNR) - COMOC Project, ref. C21/IS/16101289.

Acknowledgements

We are grateful to the reviewers for their detailed comments.

Cite AsGet BibTex

Pierre Talbot, Tingting Hu, and Nicolas Navet. Constraint Programming with External Worst-Case Traversal Time Analysis. In 29th International Conference on Principles and Practice of Constraint Programming (CP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 280, pp. 34:1-34:20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)
https://doi.org/10.4230/LIPIcs.CP.2023.34

Abstract

The allocation of software functions to processors under compute capacity and network links constraints is an important optimization problem in the field of embedded distributed systems. We present a hybrid approach to solve the allocation problem combining a constraint solver and a worst-case traversal time (WCTT) analysis that verifies the network timing constraints. The WCTT analysis is implemented as an industrial black-box program, which makes a tight integration with constraint solving challenging. We contribute to a new multi-objective constraint solving algorithm for integrating external under-approximating functions, such as the WCTT analysis, with constraint solving, and prove its correctness. We apply this new algorithm to the allocation problem in the context of automotive service-oriented architectures based on Ethernet networks, and provide a new dataset of realistic instances to evaluate our approach.

Subject Classification

ACM Subject Classification
  • Theory of computation → Constraint and logic programming
  • Computer systems organization → Real-time systems
  • Networks → Network performance evaluation
Keywords
  • Constraint programming
  • external function
  • multi-objective optimization
  • network analysis
  • worst-case traversal time analysis
  • abstract interpretation

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Supplementary Materials

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