Proceedings of ISP RAS

Automation of scheduling for periodic real-time systems.

A.V. Tretyakov.


In the paper, we consider the scheduling problem for strictly periodic real-time systems. Strict periodicity means that all release points of all instances of any task must produce an arithmetic progression. Classical scheduling algorithms, such as Earliest Deadline First (EDF) and Rate-Monotonic Scheduling (RMS), are not applicable under strict periodicity constraint. The main problem is to search release points for all tasks. In fact, this search is NP-hard problem.

First, we study some necessary schedulability conditions for both classical and strictly periodic schedulability problem. Next, we suggest scheduling algorithm that consists of two main parts: heuristic algorithm of release points search, and scheduling algorithm for given release points. The algorithm of release points search is based on some ideas in number theory that allows iterate not all possible release points but only such points that with a high probability yields correct schedule. The scheduling algorithm for given release points is based on ideas of EDF algorithm.

Finally, we present developed tool set that provides automated scheduling of given tasks, allows visualization of generated schedule, provides GUI to edit schedule, and supports validation of built schedules. This tool set is a part of workspace for design of modern avionics systems developed in ISP RAS.


scheduling, real-time systems, hard periodic tasks, deadlines, NP-hard problem, Integrated Modular Avionics


Proceedings of the Institute for System Programming, vol. 22, 2012, pp. 375-400.

ISSN 2220-6426 (Online), ISSN 2079-8156 (Print).

DOI: 10.15514/ISPRAS-2012-22-20

Full text of the paper in pdf (in Russian) Back to the contents of the volume