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PROSA - Formally Proven Schedulability Analysis
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Lasse Blaauwbroek
PROSA - Formally Proven Schedulability Analysis
Commits
eb9dedb4
Commit
eb9dedb4
authored
9 years ago
by
Felipe Cerqueira
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Fix names of EDF bound
parent
9c2cc2b1
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BertognaResponseTimeDefsEDF.v
+16
-6
16 additions, 6 deletions
BertognaResponseTimeDefsEDF.v
with
16 additions
and
6 deletions
BertognaResponseTimeDefsEDF.v
+
16
−
6
View file @
eb9dedb4
...
@@ -31,20 +31,24 @@ Module ResponseTimeAnalysisEDF.
...
@@ -31,20 +31,24 @@ Module ResponseTimeAnalysisEDF.
Let
tsk_other
:=
fst
tsk_R
.
Let
tsk_other
:=
fst
tsk_R
.
Let
R_other
:=
snd
tsk_R
.
Let
R_other
:=
snd
tsk_R
.
Definition
workload_bound_edf
:=
(* By combining Bertogna's interference bound for a work-conserving
scheduler ... *)
Let
basic_interference_bound
:=
interference_bound
task_cost
task_period
tsk
delta
tsk_R
.
(* ... with and EDF-specific interference bound, ... *)
Definition
edf_specific_bound
:=
let
d_tsk
:=
task_deadline
tsk
in
let
d_tsk
:=
task_deadline
tsk
in
let
e_other
:=
task_cost
tsk_other
in
let
e_other
:=
task_cost
tsk_other
in
let
p_other
:=
task_period
tsk_other
in
let
p_other
:=
task_period
tsk_other
in
let
d_other
:=
task_deadline
tsk_other
in
let
d_other
:=
task_deadline
tsk_other
in
(
div_floor
d_tsk
p_other
)
*
e_other
+
(
div_floor
d_tsk
p_other
)
*
e_other
+
minn
e_other
((
d_tsk
%%
p_other
)
-
d_other
+
R_other
)
.
minn
e_other
((
d_tsk
%%
p_other
)
-
d_other
+
R_other
)
.
Let
basic_interference_bound
:=
interference_bound
task_cost
task_period
tsk
delta
tsk_R
.
(* Bertogna and Cirinei define the following interference bound
under EDF scheduling. *)
(* Based on the workload bound, Bertogna and Cirinei define the
following interference bound for a task. *)
Definition
interference_bound_edf
:=
Definition
interference_bound_edf
:=
minn
basic_interference_bound
workload
_bound
_edf
.
minn
basic_interference_bound
edf_specific
_bound
.
End
PerTask
.
End
PerTask
.
...
@@ -60,6 +64,12 @@ Module ResponseTimeAnalysisEDF.
...
@@ -60,6 +64,12 @@ Module ResponseTimeAnalysisEDF.
End
AllTasks
.
End
AllTasks
.
Section
Proofs
.
(* The proof that edf_specific_bound works should go here...*)
End
Proofs
.
End
InterferenceBoundEDF
.
End
InterferenceBoundEDF
.
Section
ResponseTimeBound
.
Section
ResponseTimeBound
.
...
...
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