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1,623
SmoothRateLimiter.java
li when the ratelimiter is used, this goes left down to zero , since if we have
0
li when the ratelimiter is used, this goes left down to zero , since if we have | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,624
SmoothRateLimiter.java
storedpermits, we serve from those first
0
storedpermits, we serve from those first | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,625
SmoothRateLimiter.java
li when unused , we go right at a constant rate!
0
li when unused , we go right at a constant rate! | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,626
SmoothRateLimiter.java
the rate at which we move to the right is
0
the rate at which we move to the right is | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,627
SmoothRateLimiter.java
this ensures that the time it takes to go from 0 to
0
this ensures that the time it takes to go from 0 to | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,628
SmoothRateLimiter.java
li when used , the time it takes, as explained in the introductory class note, is equal to
0
li when used , the time it takes, as explained in the introductory class note, is equal to | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,629
SmoothRateLimiter.java
the integral of our function, between x permits and x k permits, assuming we want to
0
the integral of our function, between x permits and x k permits, assuming we want to | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,630
SmoothRateLimiter.java
spend k saved permits.
0
spend k saved permits. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,632
SmoothRateLimiter.java
p in summary, the time it takes to move to the left spend k permits , is equal to the area of
0
p in summary, the time it takes to move to the left spend k permits , is equal to the area of | SmoothRateLimiter.java
[ 1, 0, 0, 1, 0, 0, 0 ]
1,633
SmoothRateLimiter.java
the function of width k.
0
the function of width k. | SmoothRateLimiter.java
[ 1, 0, 0, 1, 0, 0, 0 ]
1,634
SmoothRateLimiter.java
p assuming we have saturated demand, the time to go from maxpermits to thresholdpermits is
0
p assuming we have saturated demand, the time to go from maxpermits to thresholdpermits is | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,635
SmoothRateLimiter.java
equal to warmupperiod.
0
equal to warmupperiod. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,636
SmoothRateLimiter.java
and the time to go from thresholdpermits to 0 is warmupperiod 2.
0
and the time to go from thresholdpermits to 0 is warmupperiod 2. | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,637
SmoothRateLimiter.java
the
0
the | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,638
SmoothRateLimiter.java
reason that this is warmupperiod 2 is to maintain the behavior of the original implementation
0
reason that this is warmupperiod 2 is to maintain the behavior of the original implementation | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,639
SmoothRateLimiter.java
where coldfactor was hard coded as 3.
0
where coldfactor was hard coded as 3. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,640
SmoothRateLimiter.java
p it remains to calculate thresholdspermits and maxpermits.
0
p it remains to calculate thresholdspermits and maxpermits. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,641
SmoothRateLimiter.java
li the time to go from thresholdpermits to 0 is equal to the integral of the function
0
li the time to go from thresholdpermits to 0 is equal to the integral of the function | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,642
SmoothRateLimiter.java
between 0 and thresholdpermits.
0
between 0 and thresholdpermits. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,643
SmoothRateLimiter.java
this is thresholdpermits stableintervals.
0
this is thresholdpermits stableintervals. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,644
SmoothRateLimiter.java
therefore
0
therefore | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,645
SmoothRateLimiter.java
thresholdpermits 05 warmupperiod stableinterval
0
thresholdpermits 05 warmupperiod stableinterval | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,646
SmoothRateLimiter.java
li the time to go from maxpermits to thresholdpermits is equal to the integral of the
0
li the time to go from maxpermits to thresholdpermits is equal to the integral of the | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,647
SmoothRateLimiter.java
function between thresholdpermits and maxpermits.
0
function between thresholdpermits and maxpermits. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,648
SmoothRateLimiter.java
this is the area of the pictured
0
this is the area of the pictured | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,649
SmoothRateLimiter.java
trapezoid, and it is equal to 05 stableinterval coldinterval maxpermits
0
trapezoid, and it is equal to 05 stableinterval coldinterval maxpermits | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,650
SmoothRateLimiter.java
thresholdpermits .
0
thresholdpermits . | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,651
SmoothRateLimiter.java
maxpermits thresholdpermits 2 warmupperiod stableinterval coldinterval
0
maxpermits thresholdpermits 2 warmupperiod stableinterval coldinterval | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,652
SmoothRateLimiter.java
how is the ratelimiter designed, and why?
0
how is the ratelimiter designed, and why? | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,657
SmoothRateLimiter.java
wait as much.
0
wait as much. | SmoothRateLimiter.java
[ 1, 0, 0, 0, 0, 0, 0 ]
1,660
SmoothRateLimiter.java
for example, for a rate of
0
for example, for a rate of | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,661
SmoothRateLimiter.java
qps 5 5 tokens per second , if we ensure that a request isn t granted earlier than 200ms after
0
qps 5 5 tokens per second , if we ensure that a request isn t granted earlier than 200ms after | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,663
SmoothRateLimiter.java
if a request comes and the last request was
0
if a request comes and the last request was | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,665
SmoothRateLimiter.java
at this rate, serving 15 fresh permits
0
at this rate, serving 15 fresh permits | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,667
SmoothRateLimiter.java
it is important to realize that such a ratelimiter has a very superficial memory of the past
0
it is important to realize that such a ratelimiter has a very superficial memory of the past | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 1 ]
1,669
SmoothRateLimiter.java
what if the ratelimiter was unused for a long period of
0
what if the ratelimiter was unused for a long period of | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 1 ]
1,671
SmoothRateLimiter.java
this ratelimiter would immediately
0
this ratelimiter would immediately | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 1 ]
1,674
SmoothRateLimiter.java
overflow, depending on the real world consequences of not using the expected rate.
0
overflow, depending on the real world consequences of not using the expected rate. | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 1 ]
1,680
SmoothRateLimiter.java
translates to almost empty buffers , which can be filled immediately.
0
translates to almost empty buffers , which can be filled immediately. | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,682
SmoothRateLimiter.java
the request has become less ready for future requests , ie its caches become stale, and
0
the request has become less ready for future requests , ie its caches become stale, and | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,684
SmoothRateLimiter.java
example is when a server has just booted, and it is mostly busy with getting itself up to
0
example is when a server has just booted, and it is mostly busy with getting itself up to | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,686
SmoothRateLimiter.java
to deal with such scenarios, we add an extra dimension, that of past underutilization ,
0
to deal with such scenarios, we add an extra dimension, that of past underutilization , | SmoothRateLimiter.java
[ 0, 0, 1, 0, 0, 0, 0 ]
1,688
SmoothRateLimiter.java
this variable is zero when there is no underutilization,
0
this variable is zero when there is no underutilization, | SmoothRateLimiter.java
[ 0, 0, 1, 1, 0, 0, 0 ]
1,694
SmoothRateLimiter.java
how this works is best explained with an example
0
how this works is best explained with an example | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,696
SmoothRateLimiter.java
ratelimiter being unused, we increase storedpermits by 1.
0
ratelimiter being unused, we increase storedpermits by 1. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,698
SmoothRateLimiter.java
for 10 seconds ie, we expected a request at time x, but we are at time x 10 seconds before
0
for 10 seconds ie, we expected a request at time x, but we are at time x 10 seconds before | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,701
SmoothRateLimiter.java
at that point, a request of
0
at that point, a request of | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,703
SmoothRateLimiter.java
we serve this request out of storedpermits, and reduce that to 70 how
0
we serve this request out of storedpermits, and reduce that to 70 how | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,704
SmoothRateLimiter.java
this is translated to throttling time is discussed later .
0
this is translated to throttling time is discussed later . | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,705
SmoothRateLimiter.java
immediately after, assume that an
0
immediately after, assume that an | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,706
SmoothRateLimiter.java
acquire 10 request arriving.
0
acquire 10 request arriving. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,707
SmoothRateLimiter.java
we serve the request partly from storedpermits, using all the
0
we serve the request partly from storedpermits, using all the | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,708
SmoothRateLimiter.java
remaining 70 permits, and the remaining 30, we serve them by fresh permits produced by the
0
remaining 70 permits, and the remaining 30, we serve them by fresh permits produced by the | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,709
SmoothRateLimiter.java
rate limiter.
0
rate limiter. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,710
SmoothRateLimiter.java
we already know how much time it takes to serve 3 fresh permits if the rate is
0
we already know how much time it takes to serve 3 fresh permits if the rate is | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,711
SmoothRateLimiter.java
1 token per second , then this will take 3 seconds.
0
1 token per second , then this will take 3 seconds. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,712
SmoothRateLimiter.java
but what does it mean to serve 7 stored
0
but what does it mean to serve 7 stored | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,713
SmoothRateLimiter.java
permits?
0
permits? | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,714
SmoothRateLimiter.java
as explained above, there is no unique answer.
0
as explained above, there is no unique answer. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,715
SmoothRateLimiter.java
if we are primarily interested to deal
0
if we are primarily interested to deal | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,716
SmoothRateLimiter.java
with underutilization, then we want stored permits to be given out faster than fresh ones,
0
with underutilization, then we want stored permits to be given out faster than fresh ones, | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,717
SmoothRateLimiter.java
because underutilization free resources for the taking.
0
because underutilization free resources for the taking. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,718
SmoothRateLimiter.java
if we are primarily interested to
0
if we are primarily interested to | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,719
SmoothRateLimiter.java
deal with overflow, then stored permits could be given out slower than fresh ones.
0
deal with overflow, then stored permits could be given out slower than fresh ones. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,720
SmoothRateLimiter.java
thus, we
0
thus, we | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,721
SmoothRateLimiter.java
require a different in each case function that translates storedpermits to throttling time.
0
require a different in each case function that translates storedpermits to throttling time. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,724
SmoothRateLimiter.java
the
0
the | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,725
SmoothRateLimiter.java
underlying model is a continuous function mapping storedpermits from 00 to maxstoredpermits
0
underlying model is a continuous function mapping storedpermits from 00 to maxstoredpermits | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,726
SmoothRateLimiter.java
storedpermits
0
storedpermits | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,727
SmoothRateLimiter.java
essentially measure unused time we spend unused time buying storing permits.
0
essentially measure unused time we spend unused time buying storing permits. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,728
SmoothRateLimiter.java
rate is
0
rate is | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,729
SmoothRateLimiter.java
permits time , thus 1 rate time permits .
0
permits time , thus 1 rate time permits . | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,730
SmoothRateLimiter.java
thus, 1 rate time permits times
0
thus, 1 rate time permits times | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,731
SmoothRateLimiter.java
of requested permits.
0
of requested permits. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,732
SmoothRateLimiter.java
this guarantees that we handle
0
this guarantees that we handle | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,733
SmoothRateLimiter.java
integrals .
0
integrals . | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,734
SmoothRateLimiter.java
cost as fresh ones 1 qps is the cost for each .
0
cost as fresh ones 1 qps is the cost for each . | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,735
SmoothRateLimiter.java
underutilization.
0
underutilization. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,736
SmoothRateLimiter.java
last, but not least consider a ratelimiter with rate of 1 permit per second, currently
0
last, but not least consider a ratelimiter with rate of 1 permit per second, currently | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,737
SmoothRateLimiter.java
completely unused, and an expensive acquire 100 request comes.
0
completely unused, and an expensive acquire 100 request comes. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,738
SmoothRateLimiter.java
it would be nonsensical to just
0
it would be nonsensical to just | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,739
SmoothRateLimiter.java
why wait without doing anything?
0
why wait without doing anything? | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,740
SmoothRateLimiter.java
a much
0
a much | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,741
SmoothRateLimiter.java
instead , and postpone subsequent requests as needed.
0
instead , and postpone subsequent requests as needed. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,742
SmoothRateLimiter.java
task immediately, and postpone by 100 seconds future requests, thus we allow for work to get
0
task immediately, and postpone by 100 seconds future requests, thus we allow for work to get | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,743
SmoothRateLimiter.java
this has important consequences it means that the ratelimiter doesn t remember the time of the
0
this has important consequences it means that the ratelimiter doesn t remember the time of the | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,744
SmoothRateLimiter.java
last request, but it remembers the expected time of the next request.
0
last request, but it remembers the expected time of the next request. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,745
SmoothRateLimiter.java
this also enables
0
this also enables | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,746
SmoothRateLimiter.java
us to tell immediately see tryacquire timeout whether a particular timeout is enough to get
0
us to tell immediately see tryacquire timeout whether a particular timeout is enough to get | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,747
SmoothRateLimiter.java
us to the point of the next scheduling time, since we always maintain that.
0
us to the point of the next scheduling time, since we always maintain that. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,748
SmoothRateLimiter.java
and what we mean by
0
and what we mean by | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,749
SmoothRateLimiter.java
an unused ratelimiter is also defined by that notion when we observe that the
0
an unused ratelimiter is also defined by that notion when we observe that the | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,750
SmoothRateLimiter.java
expected arrival time of the next request is actually in the past, then the difference now
0
expected arrival time of the next request is actually in the past, then the difference now | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,751
SmoothRateLimiter.java
past is the amount of time that the ratelimiter was formally unused, and it is that amount of
0
past is the amount of time that the ratelimiter was formally unused, and it is that amount of | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,752
SmoothRateLimiter.java
time which we translate to storedpermits.
0
time which we translate to storedpermits. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,753
SmoothRateLimiter.java
we increase storedpermits with the amount of permits
0
we increase storedpermits with the amount of permits | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,754
SmoothRateLimiter.java
that would have been produced in that idle time .
0
that would have been produced in that idle time . | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,755
SmoothRateLimiter.java
so, if rate 1 permit per second, and
0
so, if rate 1 permit per second, and | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,758
SmoothRateLimiter.java
we would only increase it for arrivals later than the expected one second.
0
we would only increase it for arrivals later than the expected one second. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]
1,759
SmoothRateLimiter.java
the time when the next request no matter its size will be granted.
0
the time when the next request no matter its size will be granted. | SmoothRateLimiter.java
[ 0, 0, 0, 1, 0, 0, 0 ]