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@@ -43,7 +43,7 @@ CONTENTS
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"deadline", to schedule tasks. A SCHED_DEADLINE task should receive
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"runtime" microseconds of execution time every "period" microseconds, and
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these "runtime" microseconds are available within "deadline" microseconds
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- from the beginning of the period. In order to implement this behaviour,
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+ from the beginning of the period. In order to implement this behavior,
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every time the task wakes up, the scheduler computes a "scheduling deadline"
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consistent with the guarantee (using the CBS[2,3] algorithm). Tasks are then
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scheduled using EDF[1] on these scheduling deadlines (the task with the
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@@ -63,7 +63,7 @@ CONTENTS
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In more details, the CBS algorithm assigns scheduling deadlines to
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tasks in the following way:
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- - Each SCHED_DEADLINE task is characterised by the "runtime",
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+ - Each SCHED_DEADLINE task is characterized by the "runtime",
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"deadline", and "period" parameters;
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- The state of the task is described by a "scheduling deadline", and
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@@ -78,7 +78,7 @@ CONTENTS
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then, if the scheduling deadline is smaller than the current time, or
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this condition is verified, the scheduling deadline and the
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- remaining runtime are re-initialised as
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+ remaining runtime are re-initialized as
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scheduling deadline = current time + deadline
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remaining runtime = runtime
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@@ -129,7 +129,7 @@ CONTENTS
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A typical real-time task is composed of a repetition of computation phases
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(task instances, or jobs) which are activated on a periodic or sporadic
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fashion.
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- Each job J_j (where J_j is the j^th job of the task) is characterised by an
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+ Each job J_j (where J_j is the j^th job of the task) is characterized by an
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arrival time r_j (the time when the job starts), an amount of computation
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time c_j needed to finish the job, and a job absolute deadline d_j, which
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is the time within which the job should be finished. The maximum execution
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@@ -137,20 +137,20 @@ CONTENTS
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A real-time task can be periodic with period P if r_{j+1} = r_j + P, or
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sporadic with minimum inter-arrival time P is r_{j+1} >= r_j + P. Finally,
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d_j = r_j + D, where D is the task's relative deadline.
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- The utilisation of a real-time task is defined as the ratio between its
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+ The utilization of a real-time task is defined as the ratio between its
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WCET and its period (or minimum inter-arrival time), and represents
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the fraction of CPU time needed to execute the task.
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- If the total utilisation sum_i(WCET_i/P_i) is larger than M (with M equal
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+ If the total utilization sum_i(WCET_i/P_i) is larger than M (with M equal
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to the number of CPUs), then the scheduler is unable to respect all the
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deadlines.
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- Note that total utilisation is defined as the sum of the utilisations
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+ Note that total utilization is defined as the sum of the utilizations
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WCET_i/P_i over all the real-time tasks in the system. When considering
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multiple real-time tasks, the parameters of the i-th task are indicated
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with the "_i" suffix.
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- Moreover, if the total utilisation is larger than M, then we risk starving
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+ Moreover, if the total utilization is larger than M, then we risk starving
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non- real-time tasks by real-time tasks.
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- If, instead, the total utilisation is smaller than M, then non real-time
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+ If, instead, the total utilization is smaller than M, then non real-time
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tasks will not be starved and the system might be able to respect all the
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deadlines.
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As a matter of fact, in this case it is possible to provide an upper bound
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@@ -160,13 +160,13 @@ CONTENTS
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maximum tardiness of each task is smaller or equal than
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((M − 1) · WCET_max − WCET_min)/(M − (M − 2) · U_max) + WCET_max
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where WCET_max = max_i{WCET_i} is the maximum WCET, WCET_min=min_i{WCET_i}
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- is the minimum WCET, and U_max = max_i{WCET_i/P_i} is the maximum utilisation.
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+ is the minimum WCET, and U_max = max_i{WCET_i/P_i} is the maximum utilization.
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If M=1 (uniprocessor system), or in case of partitioned scheduling (each
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real-time task is statically assigned to one and only one CPU), it is
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possible to formally check if all the deadlines are respected.
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If D_i = P_i for all tasks, then EDF is able to respect all the deadlines
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- of all the tasks executing on a CPU if and only if the total utilisation
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+ of all the tasks executing on a CPU if and only if the total utilization
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of the tasks running on such a CPU is smaller or equal than 1.
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If D_i != P_i for some task, then it is possible to define the density of
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a task as C_i/min{D_i,P_i}, and EDF is able to respect all the deadlines
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@@ -176,9 +176,9 @@ CONTENTS
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On multiprocessor systems with global EDF scheduling (non partitioned
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systems), a sufficient test for schedulability can not be based on the
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- utilisations (it can be shown that task sets with utilisations slightly
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+ utilizations (it can be shown that task sets with utilizations slightly
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larger than 1 can miss deadlines regardless of the number of CPUs M).
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- However, as previously stated, enforcing that the total utilisation is smaller
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+ However, as previously stated, enforcing that the total utilization is smaller
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than M is enough to guarantee that non real-time tasks are not starved and
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that the tardiness of real-time tasks has an upper bound.
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@@ -218,10 +218,10 @@ CONTENTS
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no guarantee can be given on the actual scheduling of the -deadline tasks.
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As already stated in Section 3, a necessary condition to be respected to
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- correctly schedule a set of real-time tasks is that the total utilisation
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+ correctly schedule a set of real-time tasks is that the total utilization
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is smaller than M. When talking about -deadline tasks, this requires that
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the sum of the ratio between runtime and period for all tasks is smaller
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- than M. Notice that the ratio runtime/period is equivalent to the utilisation
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+ than M. Notice that the ratio runtime/period is equivalent to the utilization
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of a "traditional" real-time task, and is also often referred to as
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"bandwidth".
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The interface used to control the CPU bandwidth that can be allocated
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@@ -251,7 +251,7 @@ CONTENTS
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The system wide settings are configured under the /proc virtual file system.
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For now the -rt knobs are used for -deadline admission control and the
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- -deadline runtime is accounted against the -rt runtime. We realise that this
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+ -deadline runtime is accounted against the -rt runtime. We realize that this
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isn't entirely desirable; however, it is better to have a small interface for
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now, and be able to change it easily later. The ideal situation (see 5.) is to
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run -rt tasks from a -deadline server; in which case the -rt bandwidth is a
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