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Constraint Programming with External Worst-Case Traversal Time Analysis

Authors Pierre Talbot , Tingting Hu, Nicolas Navet

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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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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.

Cite As Get 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

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.

Supplementary Materials

References

  1. Krzysztof R. Apt. The essence of constraint propagation. Theoretical computer science, 221(1-2):179-210, 1999. URL: https://doi.org/10.1016/S0304-3975(99)00032-8.
  2. Anne Bouillard and Éric Thierry. An algorithmic toolbox for network calculus. Discrete Event Dynamic Systems, 18(1):3-49, 2008. URL: https://doi.org/10.1007/s10626-007-0028-x.
  3. Marc Boyer and Hugo Daigmorte. Improved service curve for element with known transmission rate. IEEE Networking Letters, 5(1):46-49, 2023. URL: https://doi.org/10.1109/LNET.2022.3150649.
  4. Marc Boyer, Jörn Migge, and Nicolas Navet. An efficient and simple class of functions to model arrival curve of packetised flows. In Proceedings of the 1st International Workshop on Worst-Case Traversal Time, WCTT '11, pages 43-50, New York, NY, USA, 2011. Association for Computing Machinery. URL: https://doi.org/10.1145/2071589.2071595.
  5. Gabriel Campeanu, Jan Carlson, and Severine Sentilles. Component Allocation Optimization for Heterogeneous CPU-GPU Embedded Systems. In 2014 40th EUROMICRO Conference on Software Engineering and Advanced Applications, pages 229-236, Verona, Italy, 2014. IEEE. URL: https://doi.org/10.1109/SEAA.2014.29.
  6. Patrick Cousot and Radhia Cousot. Abstract Interpretation: A Unified Lattice Model for Static Analysis of Programs by Construction or Approximation of Fixpoints. In Proceedings of the 4th ACM SIGACT-SIGPLAN Symposium on Principles of Programming Languages, POPL '77, pages 238-252, New York, NY, USA, 1977. Association for Computing Machinery. URL: https://doi.org/10.1145/512950.512973.
  7. Robert I. Davis, Alan Burns, Reinder J. Bril, and Johan J. Lukkien. Controller Area Network (CAN) Schedulability Analysis: Refuted, Revisited and Revised. Real-Time Systems, 35(3):239-272, 2007. URL: https://doi.org/10.1007/s11241-007-9012-7.
  8. Rina Dechter and Avi Dechter. Belief Maintenance in Dynamic Constraint Networks. In Proceedings of the Seventh AAAI National Conference on Artificial Intelligence, AAAI'88, pages 37-42. AAAI Press, 1988. Google Scholar
  9. Jip J. Dekker. MiniZinc Python, 2023. URL: https://github.com/MiniZinc/minizinc-python.
  10. Vijay D'Silva, Leopold Haller, and Daniel Kroening. Abstract satisfaction. In Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages - POPL '14, pages 139-150, San Diego, California, USA, 2014. ACM Press. URL: https://doi.org/10.1145/2535838.2535868.
  11. Johannes Eder, Sebastian Voss, Andreas Bayha, Alexandru Ipatiov, and Maged Khalil. Hardware architecture exploration: automatic exploration of distributed automotive hardware architectures. Software and Systems Modeling, 19(4):911-934, 2020. URL: https://doi.org/10.1007/s10270-020-00786-6.
  12. Alexander Ek, Maria Garcia de la Banda, Andreas Schutt, Peter J. Stuckey, and Guido Tack. Modelling and Solving Online Optimisation Problems. Proceedings of the AAAI Conference on Artificial Intelligence, 34(02):1477-1485, 2020. URL: https://doi.org/10.1609/aaai.v34i02.5506.
  13. Marco Gavanelli. An algorithm for multi-criteria optimization in CSPs. In ECAI 2002: 15th European Conference on Artificial Intelligence, July 21-26, 2002, Lyon France: Including Prestigious Applications of Intelligent Systems (PAIS 2002): Proceedings, volume 77, page 136. IOS Press, 2002. Google Scholar
  14. Tias Guns, Peter J. Stuckey, and Guido Tack. Solution Dominance over Constraint Satisfaction Problems, 2018. arXiv:1812.09207 [cs]. URL: http://arxiv.org/abs/1812.09207.
  15. Pierre-Emmanuel Hladik, Hadrien Cambazard, Anne-Marie Déplanche, and Narendra Jussien. Solving a real-time allocation problem with constraint programming. Journal of Systems and Software, 81(1):132-149, 2008. URL: https://doi.org/10.1016/j.jss.2007.02.032.
  16. J.N. Hooker and G. Ottosson. Logic-based Benders decomposition. Mathematical Programming, 96(1):33-60, 2003. URL: https://doi.org/10.1007/s10107-003-0375-9.
  17. Stefan Kugele, Philipp Obergfell, and Eric Sax. Model-based resource analysis and synthesis of service-oriented automotive software architectures. Software and Systems Modeling, 20(6):1945-1975, December 2021. URL: https://doi.org/10.1007/s10270-021-00896-9.
  18. Jean-Yves Le Boudec and Patrick Thiran. Network Calculus. In Network Calculus: A Theory of Deterministic Queuing Systems for the Internet, pages 3-81. Springer Berlin Heidelberg, Berlin, Heidelberg, 2001. URL: https://doi.org/10.1007/3-540-45318-0_1.
  19. Martin Lukasiewycz, Michael Glaß, Christian Haubelt, and Jürgen Teich. Solving Multi-objective Pseudo-Boolean Problems. In Theory and Applications of Satisfiability Testing – SAT 2007, pages 56-69. Springer Berlin Heidelberg, Berlin, Heidelberg, 2007. URL: https://doi.org/10.1007/978-3-540-72788-0_9.
  20. Bjørnar Luteberget, Koen Claessen, Christian Johansen, and Martin Steffen. SAT modulo discrete event simulation applied to railway design capacity analysis. Formal Methods in System Design, 57(2):211-245, August 2021. URL: https://doi.org/10.1007/s10703-021-00368-2.
  21. Irene Moser and Sanaz Mostaghim. The automotive deployment problem: A practical application for constrained multiobjective evolutionary optimisation. In IEEE Congress on Evolutionary Computation, pages 1-8, Barcelona, Spain, July 2010. IEEE. URL: https://doi.org/10.1109/CEC.2010.5585991.
  22. Ahmed Nasrallah, Akhilesh S. Thyagaturu, Ziyad Alharbi, Cuixiang Wang, Xing Shao, Martin Reisslein, and Hesham ElBakoury. Ultra-Low Latency (ULL) Networks: The IEEE TSN and IETF DetNet Standards and Related 5G ULL Research. IEEE Communications Surveys & Tutorials, 21(1):88-145, 2019. URL: https://doi.org/10.1109/COMST.2018.2869350.
  23. Mitra Nasri, Sanjoy Baruah, Gerhard Fohler, and Mehdi Kargahi. On the Optimality of RM and EDF for Non-Preemptive Real-Time Harmonic Tasks. In Proceedings of the 22nd International Conference on Real-Time Networks and Systems - RTNS '14, pages 331-340, Versaille, France, 2014. ACM Press. URL: https://doi.org/10.1145/2659787.2659806.
  24. Asef Nazari, Dhananjay Thiruvady, Aldeida Aleti, and Irene Moser. A mixed integer linear programming model for reliability optimisation in the component deployment problem. Journal of the Operational Research Society, 67(8):1050-1060, August 2016. URL: https://doi.org/10.1057/jors.2015.119.
  25. Nicholas Nethercote, Peter J. Stuckey, Ralph Becket, Sebastian Brand, Gregory J. Duck, and Guido Tack. MiniZinc: Towards a standard CP modelling language. In Principles and Practice of Constraint Programming - CP 2007, pages 529-543. Springer, 2007. Google Scholar
  26. Olga Ohrimenko, Peter J. Stuckey, and Michael Codish. Propagation via Lazy Clause Generation. Constraints, 14(3):357-391, September 2009. URL: https://doi.org/10.1007/s10601-008-9064-x.
  27. Marie Pelleau, Antoine Miné, Charlotte Truchet, and Frédéric Benhamou. A Constraint Solver Based on Abstract Domains. In Verification, Model Checking, and Abstract Interpretation, pages 434-454. Springer, 2013. URL: https://doi.org/10.1007/978-3-642-35873-9_26.
  28. R. Queck. Analysis of Ethernet AVB for automotive networks using Network Nalculus. In 2012 IEEE International Conference on Vehicular Electronics and Safety (ICVES 2012), pages 61-67, July 2012. URL: https://doi.org/10.1109/ICVES.2012.6294261.
  29. RealTime-at-Work. Rtaw-pegase, 2022. URL: https://www.realtimeatwork.com/rtaw-pegase/.
  30. Andrea Rendl, Tias Guns, Peter J. Stuckey, and Guido Tack. MiniSearch: a solver-independent meta-search language for MiniZinc. In Principles and Practice of Constraint Programming, pages 376-392. Springer, 2015. URL: https://doi.org/10.1007/978-3-319-23219-5_27.
  31. Pierre Schaus and Renaud Hartert. Multi-Objective Large Neighborhood Search. In Principles and Practice of Constraint Programming, volume 8124, pages 611-627. Springer Berlin Heidelberg, Berlin, Heidelberg, 2013. URL: https://doi.org/10.1007/978-3-642-40627-0_46.
  32. Christian Schulte, Guido Tack, and Mikael Lagerkvist. Modeling and Programming with Gecode, 2020. Google Scholar
  33. Joseph Scott. Other Things Besides Number: Abstraction, Constraint Propagation, and String Variable Types. PhD thesis, Acta Universitatis Upsaliensis, Uppsala, 2016. OCLC: 943721122. Google Scholar
  34. Seyed Mohammadhossein Tabatabaee, Marc Boyer, Jean-Yves Le Boudec, and Jörn Migge. Efficient and accurate handling of periodic flows in time-sensitive networks. In 2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS), pages 303-315, 2023. URL: https://doi.org/10.1109/RTAS58335.2023.00031.
  35. Pierre Talbot, Éric Monfroy, and Charlotte Truchet. Modular Constraint Solver Cooperation via Abstract Interpretation. Theory and Practice of Logic Programming, 20(6):848-863, 2020. URL: https://doi.org/10.1017/S1471068420000162.
  36. Dhananjay Thiruvady, I. Moser, Aldeida Aleti, and Asef Nazari. Constraint Programming and Ant Colony System for the Component Deployment Problem. Procedia Computer Science, 29:1937-1947, 2014. URL: https://doi.org/10.1016/j.procs.2014.05.178.
  37. Tindell, Hansson, and Wellings. Analysing real-time communications: controller area network (CAN). In Proceedings Real-Time Systems Symposium REAL-94, pages 259-263, San Juan, Puerto Rico, 1994. IEEE Comput. Soc. Press. URL: https://doi.org/10.1109/REAL.1994.342710.
  38. K. W. Tindell, A. Burns, and A. J. Wellings. Allocating hard real-time tasks: An NP-Hard problem made easy. Real-Time Systems, 4(2):145-165, June 1992. URL: https://doi.org/10.1007/BF00365407.
  39. P. M. Yomsi, D. Bertrand, N. Navet, and R. Davis. Controller Area Network (CAN): Response Time Analysis with Offsets. In 9th IEEE International Workshop on Factory Communication Systems, pages 43-52, United States, May 2012. IEEE. URL: https://doi.org/10.1109/WFCS.2012.6242539.
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