Real-Time Systems

, Volume 52, Issue 2, pp 125–160 | Cite as

Response time analysis for fixed priority real-time systems with energy-harvesting

  • Yasmina AbdeddaïmEmail author
  • Younès Chandarli
  • Robert I. Davis
  • Damien Masson


This paper introduces sufficient schedulability tests for fixed-priority pre-emptive scheduling of a real-time system under energy constraints. In this problem, energy is harvested from the ambient environment and used to replenish a storage unit or battery. The set of real-time tasks is decomposed into two different types of task depending on whether their rate of energy consumption is (i) more than or (ii) no more than the storage unit replenishment rate. We show that for this task model, where execution may only take place when there is sufficient energy available, the worst-case scenario does not necessarily correspond to the synchronous release of all tasks. We derive sufficient schedulability tests based on the computation of worst-case response time upper and lower bounds. We show that these tests are sustainable with respect to decreases in the energy consumption of tasks, and increases in the storage unit replenishment rate. Further, we show that Deadline Monotonic priority assignment is optimal with respect to the derived tests. We examine both the effectiveness and the tightness of the bounds, via an empirical investigation.


Real-time systems Energy-harvesting Scheduling  Fixed priority Schedulability analysis 


  1. Abdeddaïm Y, Chandarli Y, Masson D (2013) The optimality of PFPasap algorithm for fixed-priority energy-harvesting real-time systems. In: Proceedings of the 25th Euromicro conference on real-time systems (ECRTS13), Paris, France, pp 47–56Google Scholar
  2. Abdeddaïm Y, Chandarli Y, Davis RI, Masson D (2014) Schedulability analysis for fixed priority real-time systems with energy-harvesting. In: Proceedings of the 22nd internationalconference on real-time networks and systems (RTNS14), Versailles, France, pp 311–320Google Scholar
  3. Ahmed-Seddik B, Despesse G, Boisseau S, Defay E (2013) Self-powered resonant frequency tuning for Piezoelectric Vibration Energy Harvesters. J Phys Conf Ser 476(1)Google Scholar
  4. Allavena A, Mossé D (2001) Scheduling of frame-based embedded systems with rechargeable batteries. In: Workshop on power management for real-time and embedded systems (in conjunction with RTAS01), Taipei, TaiwanGoogle Scholar
  5. Audsley N, Burns A, Richardson M, Tindell K, Wellings AJ (1993) Applying new scheduling theory to static priority pre-emptive scheduling. Softw Eng J 8:284–292CrossRefGoogle Scholar
  6. Baruah S, Burns A (2006) Sustainable scheduling analysis. In: Proceedings of the 27th IEEE international real-time systems symposium (RTSS06). Rio de Janeiro, Brazil, pp 159–168Google Scholar
  7. Bastoni A, Brandenburg BB, Anderson JH (2010) Cache-related preemption and migration delays: empirical approximation and impact on schedulability. In: Proceedings of the 6th international workshop on operating systems platforms for embedded real-time applications (OSPERT10). Brussels, Belgium, pp 33–44Google Scholar
  8. Bini E, Buttazzo GC (2005) Measuring the performance of schedulability tests. Real-Time Syst 30(1–2):129–154CrossRefzbMATHGoogle Scholar
  9. Chetto M (2014) Optimal scheduling for real-time jobs in energy harvesting computing systems. IEEE Trans Emerg Top Comput 2(2):122–133CrossRefGoogle Scholar
  10. Davis RI (1995) On exploiting spare capacity in hard real-time systems. PhD thesis, University of York, UKGoogle Scholar
  11. Davis RI, Tindell KW, Burns A (1993) Scheduling slack time in fixed priority pre-emptive systems. In: Proceedings of the 14th IEEE international real-time systems symposium (RTSS93), Raleigh-Durham, NC, USA, pp 222–231Google Scholar
  12. Davis RI, Zabos A, Burns A (2008) Efficient exact schedulability tests for fixed priority real-time systems. IEEE Trans Comput 57(9):1261–1276CrossRefMathSciNetGoogle Scholar
  13. EL Ghor H, Chetto M, Chehade RH (2011) A real-time scheduling framework for embedded systems with environmental energy harvesting. Comput Electr Eng 37:498–510CrossRefGoogle Scholar
  14. Goossens J, Macq C (2001) Limitation of the hyper-period in real-time periodic task set generation. In: Proceedings of the RTS embedded system (RTS01), pp 133–147Google Scholar
  15. Joseph M, Pandya PK (1986) Finding response times in a real-time system. Comput J 29(5):390–395CrossRefMathSciNetGoogle Scholar
  16. Lehoczky JP, Ramos-Thuel S (1992) An optimal algorithm for scheduling soft-aperiodic tasks in fixed-priority preemptive systems. In: Proceedings of the 13th IEEE international real-time systems symposium (RTSS92), Phoenix, Arizona, USA, pp 110–123Google Scholar
  17. Leung JYT, Whitehead J (1982) On the complexity of fixed-priority scheduling of periodic real-time tasks. Perform Eval 2(4):237–250CrossRefMathSciNetzbMATHGoogle Scholar
  18. Liu CL, Layland JW (1973) Scheduling algorithms for multiprogramming in a hard-real-time environment. ACM 20(1):46–61CrossRefMathSciNetzbMATHGoogle Scholar
  19. Moser C, Brunelli D, Thiele L, Benini L (2006) Real-time scheduling with regenerative energy. In: Proceedings of the 18th Euromicro conference on real-time systems (ECRTS06), Dresden, Germany, pp 270–280Google Scholar
  20. Rakhmatov D, Vrudhula S (2003) Energy management for battery-powered embedded systems. ACM Trans Embed Comput Syst 2(3):277–324CrossRefGoogle Scholar
  21. Yildiz F (2009) Potential ambient energy-harvesting sources and techniques. J Technol Stud 35(1)Google Scholar
  22. Zhu D, Aydin H (2006) Energy management for real-time embedded systems with reliability requirements. In: Proceedings of the 25th IEEE/ACM international conference on computer-aided design (ICCAD06), San Jose, CA, USA, pp 528–534Google Scholar
  23. Zhu D, Qi X, Aydin H (2007) Priority-monotonic energy management for real-time systems with reliability requirements. In: Proceedings of the 26th IEEE/ACM international conference on computer-aided design (ICCAD07), San Jose, CA, USA, pp 629–635Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Yasmina Abdeddaïm
    • 1
    Email author
  • Younès Chandarli
    • 1
  • Robert I. Davis
    • 2
  • Damien Masson
    • 1
  1. 1.Université Paris-Est, LIGM UMR CNRS 8049, UPEM, ESIEE Paris, ENPCParisFrance
  2. 2.Real-Time Systems Research GroupUniversity of YorkYorkUK

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