Abstract
A new approach is proposed for the probabilistic assessment of schedulability of periodic tasks with uncertain characteristics in dynamic multi–processor scheduling. It is aimed at non–critical real–time applications such as multimedia, which allow some leeway with respect to compliance with timing requirements, provided that certain minimum Quality of Service (QoS) requirements are met. Uncertainties are taken into account through random variables at the task arrival times and by characterising subsequent task characteristics in probabilistic terms. By examining each pair of possible computation time and deadline of a given task at each time unit in relation to the same of other tasks, an execution pattern is derived. This forms the basis for computing various QoS attributes such as probability of successful execution, latency in response time, jitter, etc. Illustrative examples address, amongst others, the performance of two particular algorithms, EDF and LLF, in the presence of uncertainties in task characteristics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Atlas, A., Bestavros, A.: Statistical rate monotonic scheduling. In: 19th IEEE Real-Time Systems Symposium, pp. 123–132 (1998)
Atlas, A., Bestavros, A.: Design and Implementation of Statistical Rate Monotonic Scheduling in KURT Linux. In: Proceeding of IEEE Real-Time Systems Symposium, pp. 272–276 (1999)
Chung, J.-Y., Liu, J.W.S., Lin, K.-J.: Scheduling periodic jobs that allow imprecise results. IEEE Transactions on Computers 39(9), 1156–1174 (1990)
David, L., Cottet, F., Nissanke, N.: Jitter Control in On-line Scheduling of Dependent Real-time Tasks. In: 22nd IEEE Real-Time Systems Symposium, London, UK (2001)
Dertouzos, M.L., Mok, A.K.: Multi-processor on-line scheduling of hard realtime systems. IEEE Trans. on Software Engineering 15(12) (December 1989)
Edgar, S., Burns, A.: Statistical Analysis of wcet for Scheduling. In: 22nd IEEE Real-Time Systems Symposium, London, UK, pp. 215–224 (2001)
Hamann, C.-J., Löser, J., Reuther, L., Schönberg, S., Wolter, J., Härtig, H.: Quality-Assuring Scheduling Using Stochastic Behaviour to Improve Resource Utilisation. In: 22nd IEEE Real-Time Systems Symposium, London, UK, pp. 119–128 (2001)
Inverson, M.A., Ozguner, F., Potter, L.: Statistical prediction of Task Execution Times through Analytic Benchmarking for Scheduling in a Heterogeneous Environment. IEEE Transactions on Computers 48(12) (1999)
Manolache, S., Eles, P., Peng, Z.: Menory and Time-efficient Schedulability Analysis of Task Sets with Stochastic Execution Time. In: 13th Euromicro Conference on Real–Time Systems, pp. 19–26 (2001)
Nissanke, N., Leulseged, A., Chillara, S.: Probabilistic Performance Analysis in Multiprocessor Scheduling. Conputing and Control Engineering Jounal 13(4), 171–179 (2002)
Shaw, C.: Reasoning about Time in Higher-Level Language Software. IEEE Trans. on Software Engineering 15(7) (1989)
Zhou, L., Shin, K.G., Rundensteiner, E.A.: Rate-monotonic scheduling in the presence of timing unpredictability. In: IEEE Real-Time Technology and Applications Symposium, pp. 22–27 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Leulseged, A., Nissanke, N. (2004). Probabilistic Analysis of Multi-processor Scheduling of Tasks with Uncertain Parameters. In: Chen, J., Hong, S. (eds) Real-Time and Embedded Computing Systems and Applications. RTCSA 2003. Lecture Notes in Computer Science, vol 2968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24686-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-24686-2_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21974-3
Online ISBN: 978-3-540-24686-2
eBook Packages: Springer Book Archive