Toward probabilistic real-time calculus

A challenging research issue in analyzing probabilistic real-time systems is to model the tasks composing the system and the resource provided to the system. In this paper we propose a solution based on a probabilistic component-based model that abstracts the functional and non-functional requirements of real-time components. The obtained interfaces encode timing requirements and probability information of the component in a probabilistic version of the real-time calculus. Besides, it has been derived probabilistic scheduling and compositional guarantees to provide real-time analyses of probabilistic real-time systems. Finally, a test case illustrates the potentialities of the proposed model and its applicability in a large variety of problems within the probabilistic real-time scenario.

[1]  Aloysius K. Mok,et al.  A model of hierarchical real-time virtual resources , 2002, 23rd IEEE Real-Time Systems Symposium, 2002. RTSS 2002..

[2]  Azer Bestavros,et al.  Statistical rate monotonic scheduling , 1998, Proceedings 19th IEEE Real-Time Systems Symposium (Cat. No.98CB36279).

[3]  Thomas A. Henzinger,et al.  An Interface Algebra for Real-Time Components , 2006, 12th IEEE Real-Time and Embedded Technology and Applications Symposium (RTAS'06).

[4]  Lothar Thiele,et al.  Workload characterization model for tasks with variable execution demand , 2004, Proceedings Design, Automation and Test in Europe Conference and Exhibition.

[5]  LeeInsup,et al.  Compositional real-time scheduling framework with periodic model , 2008 .

[6]  Jun Sun,et al.  Probabilistic performance guarantee for real-time tasks with varying computation times , 1995, Proceedings Real-Time Technology and Applications Symposium.

[7]  Yuming Jiang,et al.  Stochastic Network Calculus Models under Max-Plus Algebra , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[8]  Insup Lee,et al.  Periodic resource model for compositional real-time guarantees , 2003, RTSS 2003. 24th IEEE Real-Time Systems Symposium, 2003.

[9]  Jean-Yves Le Boudec,et al.  Network Calculus: A Theory of Deterministic Queuing Systems for the Internet , 2001 .

[10]  Giuseppe Lipari,et al.  A hierarchical scheduling model for component-based real-time systems , 2006, Proceedings 20th IEEE International Parallel & Distributed Processing Symposium.

[11]  Lothar Thiele,et al.  Periodic power management schemes for real-time event streams , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[12]  Samarjit Chakraborty,et al.  A Framework for Compositional and Hierarchical Real-Time Scheduling , 2006, 12th IEEE International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA'06).

[13]  John P. Lehoczky.  Real-time queueing theory , 1996, 17th IEEE Real-Time Systems Symposium.

[14]  Insup Lee,et al.  Compositional real-time scheduling framework , 2004, 25th IEEE International Real-Time Systems Symposium.

[15]  Yuming Jiang.  A basic stochastic network calculus , 2006, SIGCOMM 2006.

[16]  Insup Lee,et al.  Compositional real-time scheduling framework with periodic model , 2008, TECS.

[17]  Lothar Thiele,et al.  Real-time calculus for scheduling hard real-time systems , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[18]  Lothar Thiele,et al.  Real-time interfaces for interface-based design of real-time systems with fixed priority scheduling , 2005, EMSOFT.

[19]  Thomas A. Henzinger,et al.  Resource Interfaces , 2003, EMSOFT.

[20]  John Regehr,et al.  HLS: a framework for composing soft real-time schedulers , 2001, Proceedings 22nd IEEE Real-Time Systems Symposium (RTSS 2001) (Cat. No.01PR1420).

[21]  Chang-Gun Lee,et al.  Stochastic analysis of periodic real-time systems , 2002, 23rd IEEE Real-Time Systems Symposium, 2002. RTSS 2002..

[22]  John P. Lehoczky,et al.  The rate monotonic scheduling algorithm: exact characterization and average case behavior , 1989, [1989] Proceedings. Real-Time Systems Symposium.

[23]  Alan Burns,et al.  Resource Sharing in Hierarchical Fixed Priority Pre-Emptive Systems , 2006, 2006 27th IEEE International Real-Time Systems Symposium (RTSS'06).

[24]  Jane W.-S. Liu,et al.  Analyzing Stochastic Fixed-Priority Real-Time Systems , 1999, TACAS.

[25]  Lucia Lo Bello,et al.  Towards stochastic response-time of hierarchically scheduled real-time tasks , 2006, 2006 IEEE Conference on Emerging Technologies and Factory Automation.

[26]  Thomas A. Henzinger,et al.  Interface Theories for Component-Based Design , 2001, EMSOFT.

[27]  Giorgio C. Buttazzo,et al.  Schedulability analysis of periodic fixed priority systems , 2004, IEEE Transactions on Computers.

[28]  Lothar Thiele,et al.  A general framework for analysing system properties in platform-based embedded system designs , 2003, 2003 Design, Automation and Test in Europe Conference and Exhibition.

[29]  Wei Liu,et al.  The Stochastic Network Calculus Methodology , 2009, Computer and Information Science.

[30]  Lothar Thiele,et al.  Real-time interfaces for composing real-time systems , 2006, EMSOFT '06.