Change search
ReferencesLink to record
Permanent link

Direct link
A Stochastic Analysis Framework for Real-Time Systems under Preemptive Priority-Driven Scheduling
Mälardalen University, School of Innovation, Design and Engineering. (Complex Real-Time Embedded Systems)
2011 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This thesis work describes how to apply the stochastic analysis framework, presented in [1] for general priority-driven periodic real-time systems. The proposed framework is applicable to compute the response time distribution, the worst-case response time, and the deadline miss probability of the task under analysis in the fixed-priority driven scheduling system. To be specific, we modeled the task execution time by using the beta distribution. Moreover, we have evaluated the existing stochastic framework on a wide range of periodic systems with the help of defined evaluation parameters.

In addition we have refined the notations used in system model and also developed new mathematics in order to facilitate the understanding with the concept. We have also introduced new concepts to obtain and validate the exact probabilistic task response time distribution.   

Another contribution of this thesis is that we have extended the existing system model in order to deal with stochastic release time of a job. Moreover, a new algorithm is developed and validated using our extended framework where the stochastic dependencies exist due to stochastic release time patterns.

Place, publisher, year, edition, pages
2011. , 39 p.
Keyword [en]
Stochastic Analysis, Stochastic Execution Time, Stochastic Release Time, Stochastic WCET, Stochastic WCRT, Steady State Backlog, Shrink Operation, Convolve From Operation, Probability of a Task Meeting its Deadline, Probability of a Task Missing its Deadline, Probability of a Job Meeting its Deadline, Probability of a Job Missing its Deadline, Stochastic System Utilization Factor, Deadline Miss to Meet Ratio.
National Category
Embedded Systems
URN: urn:nbn:se:mdh:diva-13100OAI: diva2:446442
Subject / course
Computer Science
2011-06-17, Gamma, Mälardalens högskola, Box 883, 721 23, Västerås, Sweden, 13:00 (English)
START - Stochastic Real-Time Analysis of Embedded Software Systems
This is Second Version of the report. Submitted after few modifications made on the order of Thomas Nolte (Thesis Examiner).Available from: 2011-10-17 Created: 2011-10-07 Last updated: 2011-10-17Bibliographically approved

Open Access in DiVA

A Master Thesis Report on the Stochastic Analysis of Complex Real-Time Embedded Systems, By Muhammad Azhar(1136 kB)781 downloads
File information
File name FULLTEXT01.pdfFile size 1136 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Azhar, Muhammad
By organisation
School of Innovation, Design and Engineering
Embedded Systems

Search outside of DiVA

GoogleGoogle Scholar
Total: 781 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 134 hits
ReferencesLink to record
Permanent link

Direct link