Real-Time Systems manuscript No. (will be inserted by the editor) Multiprocessor Real-Time Scheduling with Arbitrary Processor Affinities: From Practice to Theory

Abstract Contemporary multiprocessor real-time operating systems, such as VxWorks, LynxOS, QNX, and real-time variants of Linux, allow a process to have an arbitrary proces-sor affinity, that is, a process may be pinned to an arbitrary subset of the processors in the system. Placing such a hard constraint on process migrations can help to improve cache per-formance of specific multi-threaded applications, achieve isolation among applications, and aid in load-balancing. However, to date, the lack of schedulability analysis for such systems prevents the use of arbitrary processor affinities in predictable hard real-time systems. This paper presents the first analysis of multiprocessor scheduling with arbitrary proces-sor affinities from a real-time perspective. It is shown that job-level fixed-priority scheduling with arbitrary processor affinities is strictly more general than global, clustered, and parti-tioned job-level fixed-priority scheduling combined. Concerning the more general case of job-level dynamic priorities, it is shown that global and clustered scheduling are equivalent to multiprocessor real-time scheduling with arbitrary processor affinities. The Linux push and pull scheduler is studied as a reference implementation and two approaches for the schedulability analysis of hard real-time tasks with arbitrary processor affinity masks are presented. In the first approach, the scheduling problem is reduced to “global-like ” sub-problems to which existing global schedulability tests can be applied. The second approach is specifically based on response-time analysis and models the response-time computation as a linear optimization problem. The latter linear-programming-based approach has better runtime complexity than the former reduction-based approach. Schedu-lability experiments show the proposed techniques to be effective