1PIE(8)                               Linux                              PIE(8)
2
3
4

NAME

6       PIE - Proportional Integral controller-Enhanced AQM algorithm
7

SYNOPSIS

9       tc  qdisc  ... pie [ limit PACKETS ] [ target TIME ] [ tupdate TIME ] [
10       alpha int ] [ beta int ] [ ecn | noecn ] [ bytemode | nobytemode ]
11
12

DESCRIPTION

14       Proportional Integral controller-Enhanced (PIE) is a control  theoretic
15       active  queue  management scheme. It is based on the proportional inte‐
16       gral controller but aims to control delay. The main design goals are
17        o Low latency control
18        o High link utilization
19        o Simple implementation
20        o Guaranteed stability and fast responsiveness
21
22

ALGORITHM

24       PIE is designed to control delay effectively. First, an average dequeue
25       rate is estimated based on the standing queue. The rate is used to cal‐
26       culate the current delay. Then, on a periodic basis, the delay is  used
27       to  calculate the dropping probabilty. Finally, on arrival, a packet is
28       dropped (or marked) based on this probability.
29
30       PIE makes adjustments to the probability based  on  the  trend  of  the
31       delay  i.e.  whether it is going up or down.The delay converges quickly
32       to the target value specified.
33
34       alpha and beta are statically chosen parameters chosen to  control  the
35       drop  probability  growth  and are determined through control theoretic
36       approaches. alpha determines how the deviation between the current  and
37       target  latency changes probability. beta exerts additional adjustments
38       depending on the latency trend.
39
40       The drop probabilty is used to mark packets in ecn mode. However, as in
41       RED,  beyond  10%  packets  are  dropped based on this probability. The
42       bytemode is used to drop packets proportional to the packet size.
43
44       Additional details can be found in the paper cited below.
45
46

PARAMETERS

48   limit
49       limit on the queue size in packets. Incoming packets are  dropped  when
50       this limit is reached. Default is 1000 packets.
51
52
53   target
54       is the expected queue delay. The default target delay is 20ms.
55
56
57   tupdate
58       is  the  frequency  at which the system drop probability is calculated.
59       The default is 30ms.
60
61
62   alpha
63   beta
64       alpha and beta are parameters chosen to control the  drop  probability.
65       These should be in the range between 0 and 32.
66
67
68   ecn | noecn
69       is  used  to  mark packets instead of dropping ecn to turn on ecn mode,
70       noecn to turn off ecn mode. By default, ecn is turned off.
71
72
73   bytemode | nobytemode
74       is used to scale drop probability proportional to packet size  bytemode
75       to turn on bytemode, nobytemode to turn off bytemode. By default, byte‐
76       mode is turned off.
77
78

EXAMPLES

80        # tc qdisc add dev eth0 root pie
81        # tc -s qdisc show
82          qdisc pie 8034: dev eth0 root refcnt 2  limit  200p  target  19000us
83       tupdate 29000us alpha 2 beta 20
84          Sent 7443524 bytes 7204 pkt (dropped 900, overlimits 0 requeues 0)
85          backlog 38998b 37p requeues 0
86          prob 0.123384 delay 25000us avg_dq_rate 1464840
87          pkts_in 7241 overlimit 900 dropped 0 maxq 186 ecn_mark 0
88
89        #  tc  qdisc  add dev eth0 root pie limit 100 target 20ms tupdate 30ms
90       ecn
91        # tc -s qdisc show
92          qdisc pie 8036: dev eth0 root refcnt 2 limit 200p target 19000  tup‐
93       date 29000 alpha 2 beta 20 ecn
94          Sent 2491922 bytes 2507 pkt (dropped 214, overlimits 0 requeues 0)
95          backlog 33728b 32p requeues 0
96          prob 0.102262 delay 24000us avg_dq_rate 1464840
97          pkts_in 2468 overlimit 214 dropped 0 maxq 192 ecn_mark 71
98
99
100        #  tc  qdisc  add dev eth0 root pie limit 100 target 50ms tupdate 30ms
101       bytemode
102        # tc -s qdisc show
103          qdisc pie 8036: dev eth0 root refcnt 2 limit 200p target 19000  tup‐
104       date 29000 alpha 2 beta 20 ecn
105          Sent 2491922 bytes 2507 pkt (dropped 214, overlimits 0 requeues 0)
106          backlog 33728b 32p requeues 0
107          prob 0.102262 delay 24000us avg_dq_rate 1464840
108          pkts_in 2468 overlimit 214 dropped 0 maxq 192 ecn_mark 71
109
110
111

SEE ALSO

113       tc(8), tc-codel(8) tc-red(8)
114
115

SOURCES

117        o  IETF  draft  submission is at http://tools.ietf.org/html/draft-pan-
118       tsvwg-pie-00
119        o IEEE  Conference on High Performance Switching and  Routing  2013  :
120       "PIE: A Lightweight Control Scheme to Address the Bufferbloat Problem"
121
122

AUTHORS

124       PIE  was  implemented by Vijay Subramanian and Mythili Prabhu, also the
125       authors of this man page. Please report bugs  and  corrections  to  the
126       Linux networking development mailing list at <netdev@vger.kernel.org>.
127
128
129
130iproute2                        16 January 2014                         PIE(8)
Impressum