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- Deadline Task Scheduling
- ------------------------
- CONTENTS
- ========
- 0. WARNING
- 1. Overview
- 2. Scheduling algorithm
- 3. Scheduling Real-Time Tasks
- 4. Bandwidth management
- 4.1 System-wide settings
- 4.2 Task interface
- 4.3 Default behavior
- 5. Tasks CPU affinity
- 5.1 SCHED_DEADLINE and cpusets HOWTO
- 6. Future plans
- A. Test suite
- B. Minimal main()
- 0. WARNING
- ==========
- Fiddling with these settings can result in an unpredictable or even unstable
- system behavior. As for -rt (group) scheduling, it is assumed that root users
- know what they're doing.
- 1. Overview
- ===========
- The SCHED_DEADLINE policy contained inside the sched_dl scheduling class is
- basically an implementation of the Earliest Deadline First (EDF) scheduling
- algorithm, augmented with a mechanism (called Constant Bandwidth Server, CBS)
- that makes it possible to isolate the behavior of tasks between each other.
- 2. Scheduling algorithm
- ==================
- SCHED_DEADLINE uses three parameters, named "runtime", "period", and
- "deadline", to schedule tasks. A SCHED_DEADLINE task should receive
- "runtime" microseconds of execution time every "period" microseconds, and
- these "runtime" microseconds are available within "deadline" microseconds
- from the beginning of the period. In order to implement this behaviour,
- every time the task wakes up, the scheduler computes a "scheduling deadline"
- consistent with the guarantee (using the CBS[2,3] algorithm). Tasks are then
- scheduled using EDF[1] on these scheduling deadlines (the task with the
- earliest scheduling deadline is selected for execution). Notice that the
- task actually receives "runtime" time units within "deadline" if a proper
- "admission control" strategy (see Section "4. Bandwidth management") is used
- (clearly, if the system is overloaded this guarantee cannot be respected).
- Summing up, the CBS[2,3] algorithms assigns scheduling deadlines to tasks so
- that each task runs for at most its runtime every period, avoiding any
- interference between different tasks (bandwidth isolation), while the EDF[1]
- algorithm selects the task with the earliest scheduling deadline as the one
- to be executed next. Thanks to this feature, tasks that do not strictly comply
- with the "traditional" real-time task model (see Section 3) can effectively
- use the new policy.
- In more details, the CBS algorithm assigns scheduling deadlines to
- tasks in the following way:
- - Each SCHED_DEADLINE task is characterised by the "runtime",
- "deadline", and "period" parameters;
- - The state of the task is described by a "scheduling deadline", and
- a "remaining runtime". These two parameters are initially set to 0;
- - When a SCHED_DEADLINE task wakes up (becomes ready for execution),
- the scheduler checks if
- remaining runtime runtime
- ---------------------------------- > ---------
- scheduling deadline - current time period
- then, if the scheduling deadline is smaller than the current time, or
- this condition is verified, the scheduling deadline and the
- remaining runtime are re-initialised as
- scheduling deadline = current time + deadline
- remaining runtime = runtime
- otherwise, the scheduling deadline and the remaining runtime are
- left unchanged;
- - When a SCHED_DEADLINE task executes for an amount of time t, its
- remaining runtime is decreased as
- remaining runtime = remaining runtime - t
- (technically, the runtime is decreased at every tick, or when the
- task is descheduled / preempted);
- - When the remaining runtime becomes less or equal than 0, the task is
- said to be "throttled" (also known as "depleted" in real-time literature)
- and cannot be scheduled until its scheduling deadline. The "replenishment
- time" for this task (see next item) is set to be equal to the current
- value of the scheduling deadline;
- - When the current time is equal to the replenishment time of a
- throttled task, the scheduling deadline and the remaining runtime are
- updated as
- scheduling deadline = scheduling deadline + period
- remaining runtime = remaining runtime + runtime
- 3. Scheduling Real-Time Tasks
- =============================
- * BIG FAT WARNING ******************************************************
- *
- * This section contains a (not-thorough) summary on classical deadline
- * scheduling theory, and how it applies to SCHED_DEADLINE.
- * The reader can "safely" skip to Section 4 if only interested in seeing
- * how the scheduling policy can be used. Anyway, we strongly recommend
- * to come back here and continue reading (once the urge for testing is
- * satisfied :P) to be sure of fully understanding all technical details.
- ************************************************************************
- There are no limitations on what kind of task can exploit this new
- scheduling discipline, even if it must be said that it is particularly
- suited for periodic or sporadic real-time tasks that need guarantees on their
- timing behavior, e.g., multimedia, streaming, control applications, etc.
- A typical real-time task is composed of a repetition of computation phases
- (task instances, or jobs) which are activated on a periodic or sporadic
- fashion.
- Each job J_j (where J_j is the j^th job of the task) is characterised by an
- arrival time r_j (the time when the job starts), an amount of computation
- time c_j needed to finish the job, and a job absolute deadline d_j, which
- is the time within which the job should be finished. The maximum execution
- time max_j{c_j} is called "Worst Case Execution Time" (WCET) for the task.
- A real-time task can be periodic with period P if r_{j+1} = r_j + P, or
- sporadic with minimum inter-arrival time P is r_{j+1} >= r_j + P. Finally,
- d_j = r_j + D, where D is the task's relative deadline.
- The utilisation of a real-time task is defined as the ratio between its
- WCET and its period (or minimum inter-arrival time), and represents
- the fraction of CPU time needed to execute the task.
- If the total utilisation sum_i(WCET_i/P_i) is larger than M (with M equal
- to the number of CPUs), then the scheduler is unable to respect all the
- deadlines.
- Note that total utilisation is defined as the sum of the utilisations
- WCET_i/P_i over all the real-time tasks in the system. When considering
- multiple real-time tasks, the parameters of the i-th task are indicated
- with the "_i" suffix.
- Moreover, if the total utilisation is larger than M, then we risk starving
- non- real-time tasks by real-time tasks.
- If, instead, the total utilisation is smaller than M, then non real-time
- tasks will not be starved and the system might be able to respect all the
- deadlines.
- As a matter of fact, in this case it is possible to provide an upper bound
- for tardiness (defined as the maximum between 0 and the difference
- between the finishing time of a job and its absolute deadline).
- More precisely, it can be proven that using a global EDF scheduler the
- maximum tardiness of each task is smaller or equal than
- ((M − 1) · WCET_max − WCET_min)/(M − (M − 2) · U_max) + WCET_max
- where WCET_max = max_i{WCET_i} is the maximum WCET, WCET_min=min_i{WCET_i}
- is the minimum WCET, and U_max = max_i{WCET_i/P_i} is the maximum utilisation.
- If M=1 (uniprocessor system), or in case of partitioned scheduling (each
- real-time task is statically assigned to one and only one CPU), it is
- possible to formally check if all the deadlines are respected.
- If D_i = P_i for all tasks, then EDF is able to respect all the deadlines
- of all the tasks executing on a CPU if and only if the total utilisation
- of the tasks running on such a CPU is smaller or equal than 1.
- If D_i != P_i for some task, then it is possible to define the density of
- a task as C_i/min{D_i,T_i}, and EDF is able to respect all the deadlines
- of all the tasks running on a CPU if the sum sum_i C_i/min{D_i,T_i} of the
- densities of the tasks running on such a CPU is smaller or equal than 1
- (notice that this condition is only sufficient, and not necessary).
- On multiprocessor systems with global EDF scheduling (non partitioned
- systems), a sufficient test for schedulability can not be based on the
- utilisations (it can be shown that task sets with utilisations slightly
- larger than 1 can miss deadlines regardless of the number of CPUs M).
- However, as previously stated, enforcing that the total utilisation is smaller
- than M is enough to guarantee that non real-time tasks are not starved and
- that the tardiness of real-time tasks has an upper bound.
- SCHED_DEADLINE can be used to schedule real-time tasks guaranteeing that
- the jobs' deadlines of a task are respected. In order to do this, a task
- must be scheduled by setting:
- - runtime >= WCET
- - deadline = D
- - period <= P
- IOW, if runtime >= WCET and if period is >= P, then the scheduling deadlines
- and the absolute deadlines (d_j) coincide, so a proper admission control
- allows to respect the jobs' absolute deadlines for this task (this is what is
- called "hard schedulability property" and is an extension of Lemma 1 of [2]).
- Notice that if runtime > deadline the admission control will surely reject
- this task, as it is not possible to respect its temporal constraints.
- References:
- 1 - C. L. Liu and J. W. Layland. Scheduling algorithms for multiprogram-
- ming in a hard-real-time environment. Journal of the Association for
- Computing Machinery, 20(1), 1973.
- 2 - L. Abeni , G. Buttazzo. Integrating Multimedia Applications in Hard
- Real-Time Systems. Proceedings of the 19th IEEE Real-time Systems
- Symposium, 1998. http://retis.sssup.it/~giorgio/paps/1998/rtss98-cbs.pdf
- 3 - L. Abeni. Server Mechanisms for Multimedia Applications. ReTiS Lab
- Technical Report. http://disi.unitn.it/~abeni/tr-98-01.pdf
- 4. Bandwidth management
- =======================
- As previously mentioned, in order for -deadline scheduling to be
- effective and useful (that is, to be able to provide "runtime" time units
- within "deadline"), it is important to have some method to keep the allocation
- of the available fractions of CPU time to the various tasks under control.
- This is usually called "admission control" and if it is not performed, then
- no guarantee can be given on the actual scheduling of the -deadline tasks.
- As already stated in Section 3, a necessary condition to be respected to
- correctly schedule a set of real-time tasks is that the total utilisation
- is smaller than M. When talking about -deadline tasks, this requires that
- the sum of the ratio between runtime and period for all tasks is smaller
- than M. Notice that the ratio runtime/period is equivalent to the utilisation
- of a "traditional" real-time task, and is also often referred to as
- "bandwidth".
- The interface used to control the CPU bandwidth that can be allocated
- to -deadline tasks is similar to the one already used for -rt
- tasks with real-time group scheduling (a.k.a. RT-throttling - see
- Documentation/scheduler/sched-rt-group.txt), and is based on readable/
- writable control files located in procfs (for system wide settings).
- Notice that per-group settings (controlled through cgroupfs) are still not
- defined for -deadline tasks, because more discussion is needed in order to
- figure out how we want to manage SCHED_DEADLINE bandwidth at the task group
- level.
- A main difference between deadline bandwidth management and RT-throttling
- is that -deadline tasks have bandwidth on their own (while -rt ones don't!),
- and thus we don't need a higher level throttling mechanism to enforce the
- desired bandwidth. In other words, this means that interface parameters are
- only used at admission control time (i.e., when the user calls
- sched_setattr()). Scheduling is then performed considering actual tasks'
- parameters, so that CPU bandwidth is allocated to SCHED_DEADLINE tasks
- respecting their needs in terms of granularity. Therefore, using this simple
- interface we can put a cap on total utilization of -deadline tasks (i.e.,
- \Sum (runtime_i / period_i) < global_dl_utilization_cap).
- 4.1 System wide settings
- ------------------------
- The system wide settings are configured under the /proc virtual file system.
- For now the -rt knobs are used for -deadline admission control and the
- -deadline runtime is accounted against the -rt runtime. We realise that this
- isn't entirely desirable; however, it is better to have a small interface for
- now, and be able to change it easily later. The ideal situation (see 5.) is to
- run -rt tasks from a -deadline server; in which case the -rt bandwidth is a
- direct subset of dl_bw.
- This means that, for a root_domain comprising M CPUs, -deadline tasks
- can be created while the sum of their bandwidths stays below:
- M * (sched_rt_runtime_us / sched_rt_period_us)
- It is also possible to disable this bandwidth management logic, and
- be thus free of oversubscribing the system up to any arbitrary level.
- This is done by writing -1 in /proc/sys/kernel/sched_rt_runtime_us.
- 4.2 Task interface
- ------------------
- Specifying a periodic/sporadic task that executes for a given amount of
- runtime at each instance, and that is scheduled according to the urgency of
- its own timing constraints needs, in general, a way of declaring:
- - a (maximum/typical) instance execution time,
- - a minimum interval between consecutive instances,
- - a time constraint by which each instance must be completed.
- Therefore:
- * a new struct sched_attr, containing all the necessary fields is
- provided;
- * the new scheduling related syscalls that manipulate it, i.e.,
- sched_setattr() and sched_getattr() are implemented.
- 4.3 Default behavior
- ---------------------
- The default value for SCHED_DEADLINE bandwidth is to have rt_runtime equal to
- 950000. With rt_period equal to 1000000, by default, it means that -deadline
- tasks can use at most 95%, multiplied by the number of CPUs that compose the
- root_domain, for each root_domain.
- This means that non -deadline tasks will receive at least 5% of the CPU time,
- and that -deadline tasks will receive their runtime with a guaranteed
- worst-case delay respect to the "deadline" parameter. If "deadline" = "period"
- and the cpuset mechanism is used to implement partitioned scheduling (see
- Section 5), then this simple setting of the bandwidth management is able to
- deterministically guarantee that -deadline tasks will receive their runtime
- in a period.
- Finally, notice that in order not to jeopardize the admission control a
- -deadline task cannot fork.
- 5. Tasks CPU affinity
- =====================
- -deadline tasks cannot have an affinity mask smaller that the entire
- root_domain they are created on. However, affinities can be specified
- through the cpuset facility (Documentation/cgroups/cpusets.txt).
- 5.1 SCHED_DEADLINE and cpusets HOWTO
- ------------------------------------
- An example of a simple configuration (pin a -deadline task to CPU0)
- follows (rt-app is used to create a -deadline task).
- mkdir /dev/cpuset
- mount -t cgroup -o cpuset cpuset /dev/cpuset
- cd /dev/cpuset
- mkdir cpu0
- echo 0 > cpu0/cpuset.cpus
- echo 0 > cpu0/cpuset.mems
- echo 1 > cpuset.cpu_exclusive
- echo 0 > cpuset.sched_load_balance
- echo 1 > cpu0/cpuset.cpu_exclusive
- echo 1 > cpu0/cpuset.mem_exclusive
- echo $$ > cpu0/tasks
- rt-app -t 100000:10000:d:0 -D5 (it is now actually superfluous to specify
- task affinity)
- 6. Future plans
- ===============
- Still missing:
- - refinements to deadline inheritance, especially regarding the possibility
- of retaining bandwidth isolation among non-interacting tasks. This is
- being studied from both theoretical and practical points of view, and
- hopefully we should be able to produce some demonstrative code soon;
- - (c)group based bandwidth management, and maybe scheduling;
- - access control for non-root users (and related security concerns to
- address), which is the best way to allow unprivileged use of the mechanisms
- and how to prevent non-root users "cheat" the system?
- As already discussed, we are planning also to merge this work with the EDF
- throttling patches [https://lkml.org/lkml/2010/2/23/239] but we still are in
- the preliminary phases of the merge and we really seek feedback that would
- help us decide on the direction it should take.
- Appendix A. Test suite
- ======================
- The SCHED_DEADLINE policy can be easily tested using two applications that
- are part of a wider Linux Scheduler validation suite. The suite is
- available as a GitHub repository: https://github.com/scheduler-tools.
- The first testing application is called rt-app and can be used to
- start multiple threads with specific parameters. rt-app supports
- SCHED_{OTHER,FIFO,RR,DEADLINE} scheduling policies and their related
- parameters (e.g., niceness, priority, runtime/deadline/period). rt-app
- is a valuable tool, as it can be used to synthetically recreate certain
- workloads (maybe mimicking real use-cases) and evaluate how the scheduler
- behaves under such workloads. In this way, results are easily reproducible.
- rt-app is available at: https://github.com/scheduler-tools/rt-app.
- Thread parameters can be specified from the command line, with something like
- this:
- # rt-app -t 100000:10000:d -t 150000:20000:f:10 -D5
- The above creates 2 threads. The first one, scheduled by SCHED_DEADLINE,
- executes for 10ms every 100ms. The second one, scheduled at SCHED_FIFO
- priority 10, executes for 20ms every 150ms. The test will run for a total
- of 5 seconds.
- More interestingly, configurations can be described with a json file that
- can be passed as input to rt-app with something like this:
- # rt-app my_config.json
- The parameters that can be specified with the second method are a superset
- of the command line options. Please refer to rt-app documentation for more
- details (<rt-app-sources>/doc/*.json).
- The second testing application is a modification of schedtool, called
- schedtool-dl, which can be used to setup SCHED_DEADLINE parameters for a
- certain pid/application. schedtool-dl is available at:
- https://github.com/scheduler-tools/schedtool-dl.git.
- The usage is straightforward:
- # schedtool -E -t 10000000:100000000 -e ./my_cpuhog_app
- With this, my_cpuhog_app is put to run inside a SCHED_DEADLINE reservation
- of 10ms every 100ms (note that parameters are expressed in microseconds).
- You can also use schedtool to create a reservation for an already running
- application, given that you know its pid:
- # schedtool -E -t 10000000:100000000 my_app_pid
- Appendix B. Minimal main()
- ==========================
- We provide in what follows a simple (ugly) self-contained code snippet
- showing how SCHED_DEADLINE reservations can be created by a real-time
- application developer.
- #define _GNU_SOURCE
- #include <unistd.h>
- #include <stdio.h>
- #include <stdlib.h>
- #include <string.h>
- #include <time.h>
- #include <linux/unistd.h>
- #include <linux/kernel.h>
- #include <linux/types.h>
- #include <sys/syscall.h>
- #include <pthread.h>
- #define gettid() syscall(__NR_gettid)
- #define SCHED_DEADLINE 6
- /* XXX use the proper syscall numbers */
- #ifdef __x86_64__
- #define __NR_sched_setattr 314
- #define __NR_sched_getattr 315
- #endif
- #ifdef __i386__
- #define __NR_sched_setattr 351
- #define __NR_sched_getattr 352
- #endif
- #ifdef __arm__
- #define __NR_sched_setattr 380
- #define __NR_sched_getattr 381
- #endif
- static volatile int done;
- struct sched_attr {
- __u32 size;
- __u32 sched_policy;
- __u64 sched_flags;
- /* SCHED_NORMAL, SCHED_BATCH */
- __s32 sched_nice;
- /* SCHED_FIFO, SCHED_RR */
- __u32 sched_priority;
- /* SCHED_DEADLINE (nsec) */
- __u64 sched_runtime;
- __u64 sched_deadline;
- __u64 sched_period;
- };
- int sched_setattr(pid_t pid,
- const struct sched_attr *attr,
- unsigned int flags)
- {
- return syscall(__NR_sched_setattr, pid, attr, flags);
- }
- int sched_getattr(pid_t pid,
- struct sched_attr *attr,
- unsigned int size,
- unsigned int flags)
- {
- return syscall(__NR_sched_getattr, pid, attr, size, flags);
- }
- void *run_deadline(void *data)
- {
- struct sched_attr attr;
- int x = 0;
- int ret;
- unsigned int flags = 0;
- printf("deadline thread started [%ld]\n", gettid());
- attr.size = sizeof(attr);
- attr.sched_flags = 0;
- attr.sched_nice = 0;
- attr.sched_priority = 0;
- /* This creates a 10ms/30ms reservation */
- attr.sched_policy = SCHED_DEADLINE;
- attr.sched_runtime = 10 * 1000 * 1000;
- attr.sched_period = attr.sched_deadline = 30 * 1000 * 1000;
- ret = sched_setattr(0, &attr, flags);
- if (ret < 0) {
- done = 0;
- perror("sched_setattr");
- exit(-1);
- }
- while (!done) {
- x++;
- }
- printf("deadline thread dies [%ld]\n", gettid());
- return NULL;
- }
- int main (int argc, char **argv)
- {
- pthread_t thread;
- printf("main thread [%ld]\n", gettid());
- pthread_create(&thread, NULL, run_deadline, NULL);
- sleep(10);
- done = 1;
- pthread_join(thread, NULL);
- printf("main dies [%ld]\n", gettid());
- return 0;
- }
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