A safe stochastic analysis with relaxed limitations on the periodic task model

IEEE Transactions on Computers

Volumn 58, Issue 5, 2009, Pages 634-647

  Kim, Kanghee ^a   Lee, Chang Gun ^b  

^a SAMSUNG Electronics   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Periodic task model; Real time and embedded systems; Scheduling; Stochastic analysis; Worst case analysis

Indexed keywords

A-PRIORI; EXECUTION TIME; PERIODIC TASK MODEL; PHASE COMBINATIONS; PRACTICAL USE; PRIORITY SCHEDULING; REAL-TIME AND EMBEDDED SYSTEMS; RELATIVE PHASIS; RELEASE TIME; RUN-TIME; STOCHASTIC ANALYSIS; TASK INSTANCES; UTILIZATION FACTORS; WORST CASE; WORST CASE ANALYSIS;

EMBEDDED SYSTEMS; HARMONIC ANALYSIS; RANDOM PROCESSES; REAL TIME SYSTEMS; SCHEDULING; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

PROBABILITY DISTRIBUTIONS;

EID: 65449149432     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.2008.208     Document Type: Article

References (23)

1. L. Abeni and G. Buttazzo, "Stochastic Analysis of a Reservation Based System," Proc. Ninth Int'l Workshop Parallel and Distributed Real-Time Systems (WPDRTS '01), Apr. 2001.
2. G. Bernat, A. Colin, and S. Petters, "WCET Analysis of Probabilistic Hard Real-Time Systems," Proc. 23rd IEEE Real-Time Systems Symp. (RTSS '02), Dec. 2002.
3. A. Burchard, J. Liebeherr, Y. Oh, and S.H. Son, "New Strategies for Assigning Real-Time Tasks to Multiprocessor Systems," IEEE Trans. Computers, vol. 44, no. 12, pp. 1429-1442, Dec. 1996.
4. A. Cervin, "Integrated Control and Real-Time Scheduling," PhD thesis, Lund Inst. of Technology, 2003.
5. J.L. Díaz, J.M. López, M. García, A.M. Campos, K. Kim, and L. LoBello, "Pessimism in the Stochastic Analysis of Real-Time Systems: Concept and Applications," Proc. 25th IEEE Real-Time Systems Symp. (RTSS '04), Dec. 2004.
6. M.K. Gardner, "Probabilistic Analysis and Scheduling of Critical Soft Real-Time Systems," PhD thesis, School of Computer Science, Univ. of Illinois, 1999.
7. C.-C. Han and H.-Y. Tyan, "A Better Polynomial-Time Schedulability Test for Real-Time Fixed-Priority Scheduling Algorithms," Proc. 18th IEEE Real-Time Systems Symp. (RTSS '97), Dec. 1997.
8. K. Kim, J.L. Díaz, L. LoBello, J.M. López, C.-G. Lee, and S.L. Min, "An Exact Stochastic Analysis of Priority-Driven Periodic Real-Time Systems and Its Approximations," IEEE Trans. Computers, vol. 54, no. 11, pp. 1460-1466, Nov. 2005.
9. J.F.C. Kingman, "Inequalities in the Theory of Queues," J. Royal Statistical Soc., Series B, vol. 32, pp. 102-110, 1970.
10. C.-G. Lee, L. Sha, and A. Peddi, "Enhanced Utilization Bounds for QoS Management," IEEE Trans. Computers, vol. 53, no. 2, pp. 187-200, Feb. 2004.
11. J.P. Lehoczky, "Fixed Priority Scheduling of Periodic Task Sets with Arbitrary Deadlines," Proc. 11th IEEE Real-Time Systems Symp. (RTSS '90), pp. 201-209, Dec. 1990.
12. J.P. Lehoczky, "Real-Time Queueing Theory," Proc. 17th IEEE Real-Time Systems Symp. (RTSS '96), pp. 186-195, Dec. 1996.
13. J.P. Lehoczky, "Real-Time Queueing Network Theory," Proc. 18th IEEE Real-Time Systems Symp. (RTSS '97), pp. 58-67, Dec. 1997.
14. J.P. Lehoczky, L. Sha, and Y. Ding, "The Rate-Monotonic Scheduling Algorithm: Exact Characterization and Average Case Behavior," Proc. 10th IEEE Real-Time Systems Symp. (RTSS '89), Dec. 1989.
15. A. Leulseged and N. Nissanke, "Probabilistic Analysis of Multi-Processor Scheduling of Tasks with Uncertain Parameter," Proc. Ninth Int'l Conf. Real-Time and Embedded Computing Systems and Applications (RTCSA '03), Feb. 2003.
16. J. Leung and J. Whitehead, "On the Complexity of Fixed Priority Scheduling of Periodic Real-Time Tasks," Performance Evaluation, vol. 2, no. 4, pp. 237-250, 1982.
17. L. Liu and J. Layland, "Scheduling Algorithms for Multiprogramming in a Hard Real-Time Environment," J. ACM, vol. 20, no. 1, pp. 46-61, 1973.
18. S. Manolache, P. Eles, and Z. Peng, "Memory and Time-Efficient Schedulability Analysis of Task Sets with Stochastic Execution Times," Proc. 13th Euromicro Conf. Real-Time Systems (ECRTS '01), pp. 19-26, June 2001.
19. M.-Y. Nam, C.-G. Lee, K. Kim, and M. Caccamo, "Time-Parameterized Sensing Task Model for Real-Time Tracking," Proc. 26th IEEE Real-Time Systems Symp. (RTSS '05), pp. 245-255, Dec. 2005.
20. K.M. Obenland, POSIX in Real-Time, http://www.xtrj.org/collection/ posix»os.htm, 2001.
21. A. Terrasa and G. Bernat, "Extracting Temporal Properties from Real-Time Systems by Automatic Tracing Analysis," Proc. Ninth Int'l Conf. Real-Time and Embedded Computing Systems and Applications (RTCSA '03), Feb. 2003.
22. T.-S. Tia, Z. Deng, M. Shankar, M. Storch, J. Sun, L.-C. Wu, and J.-S. Liu, "Probabilistic Performance Guarantee for Real-Time Tasks with Varying Computation Times," Proc. Real-Time Technology and Applications Symp. (RTAS '95), pp. 164-173, May 1995.
23. W. Yuan and K. Nahrstedt, "Energy-Efficient Soft Real-Time CPU Scheduling for Mobile Multimedia Systems," Proc. 19th ACM Symp. Operating Systems Principles (SOSP '03), pp. 149-163, Oct. 2003.