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Days	
  In	
  Green	
  (DIG):	
  	
  
Forecas1ng	
  the	
  life	
  of	
  a	
  healthy	
  service	
  
Vibhav Garg, Arun Kejariwal
(@ativilambit, @arun_kejariwal)
Capacity and Performance Engineering @ Twitter
June 2014
#WorldCup	
  
[1]	
  hBp://www.newsweek.com/twiBer-­‐us-­‐soccer-­‐what-­‐radio-­‐was-­‐baseball-­‐256336	
  (June	
  2014)	
  
[1]	
  
[1]	
  hBp://www.telegraph.co.uk/technology/twiBer/10912738/Wimbledon-­‐goes-­‐digital-­‐with-­‐TwiBer.html	
  (June	
  2014)	
  
[1]	
  
#Wimbledon2014	
  
Internet	
  trends	
  
•  Mobile-first
q 25% of total web usage [1] 
q Mobile data traffic: 81%, accelerating growth [1]
•  Real-time





[1]	
  hBp://www.kpcb.com/file/kpcb-­‐internet-­‐trends-­‐2014	
  (May	
  2014)	
   VG,	
  AK	
  4	
  
#Selfie	
  
Capacity	
  &	
  Performance	
  
•  Organic growth
q Over 255M monthly active users [1]
•  Evolving product landscape
•  Handle Peak Traffic
q Mobile Busy Hour Is 66% Higher Than Average Hour in 2013, 83% by 2018 [2] 
q Events


[1]	
  hBps://investor.twiBerinc.com/releasedetail.cfm?releaseid=843245	
  
[2]	
  hBp://www.cisco.com/c/en/us/solu1ons/collateral/service-­‐provider/visual-­‐networking-­‐index-­‐vni/white_paper_c11-­‐520862.html	
   VG,	
  AK	
  5	
  
Systema1c	
  Capacity	
  Planning	
  
•  Objectives
q Check under-allocation
§  Performance, Availability
o  Adversely impact user experience 
q Check over-allocation
§  Operational efficiency
o  Adversely impacts bottom line
q Check poor scalability
•  Approaches
q Reactive
§  Adversely impact user experience
q Proactive
 Poor	
  UX	
  
Underu'liza'on	
  
VG,	
  AK	
  6	
  
Systema1c	
  Capacity	
  Planning	
  	
  (contd.)	
  
•  Non-trivial
q Rapidly evolving product landscape
§  Changes services’ performance profile
q Organic growth
•  Scalable Approach
q Service Oriented Architecture
§  100s of services
q Millions of metrics [1,2]
q Automated
[1]	
  hBp://strata.oreilly.com/2013/09/how-­‐twiBer-­‐monitors-­‐millions-­‐of-­‐1me-­‐series.html	
  
[2]	
  hBp://strataconf.com/strata2014/public/schedule/detail/32431	
   VG,	
  AK	
  7	
  
DIG:	
  Days	
  in	
  Green	
  
•  Objective
q Statistically determine the # of days for which a service is expected to stay
healthy
•  Methodology 
q Determine driving resource
q Determine capacity threshold T
q Generate a time series and forecast
q DIG - # days before the service is expected to exceed T
VG,	
  AK	
  8	
  
Time	
  
Driving	
  Resource	
  
DIG	
  
T	
  
DIG	
  	
  (contd.)	
  
•  Determining Capacity Thresholds
q Service specific
§  Driving resource differs
q Load Test
§  Canaries
§  Replay production traffic
q Examples
§  CPU at 70%
§  Disk utilization at, 80%
§  RPS at X requests/sec
VG,	
  AK	
  9	
  
SLA	
  
T	
  
CPU	
  
Latency	
  
DIG	
  	
  (contd.)	
  
•  Time Series Analysis
q Data collection
§  Granularity
o  Daily 
•  Long term forecast
o  Which value?
•  Close to the daily peak but low standard deviation (σ)
o  Assume 7 day seasonality
§  Duration
o  30-90 days
q Model fitting
q Forecast
VG,	
  AK	
  10	
  
Percen'le	
   Dura'on	
   Mean	
   σ	
  
100	
  (Max)	
   57.7	
   3.29	
  
99	
   14.4	
  mins	
   54.7	
   2.49	
  
95	
   72	
  mins	
   53.1	
   2.4	
  
DIG	
  	
  (contd.)	
  
•  Model fitting
q Linear
§  Captures trend well
§  Does not fit well for seasonal time series 
§  No weightage to recent data
VG,	
  AK	
  11	
  
R2	
  =	
  0.56	
  
DIG	
  	
  (contd.)	
  
•  Model fitting
q Polynomial
§  Fits better than linear, not good for forecasting
§  Seasonality unaware
VG,	
  AK	
  12	
  
R2	
  =	
  0.62	
  
DIG	
  	
  (contd.)	
  
•  Model fitting
q Splines
§  Widely used for curve fitting
§  Tend to overfit data
§  Not suitable for forecasting

q Triple Exponential Smoothing (Holt Winters)
§  Good for fit and forecasting
§  Trend and seasonality modeled implicitly
•  ARIMA
VG,	
  AK	
  13	
  
ARIMA	
  
•  Auto-Regressive Integrated Moving Average 
q (p, d , q)
q Explicitly models seasonality and trend
q Applicable to non-stationary time series
q  Worst Case degenerates to linear fit 
Autoregressive	
  component	
  
Moving	
  Average	
  component	
  
Moving	
  Average	
  order	
  
Integrated	
  order	
  
Autoregressive	
  order	
  
VG,	
  AK	
  14	
  
DIG	
  	
  (contd.)	
  
•  Model Fitting
q  ARIMA in action
§  Captures underlying trend
§  Captures seasonality

q  Are we good? Not quite!
VG,	
  AK	
  15	
  
Forecast	
  
•  Time Series Characteristics
q  Anomalies
§  Positive
§  Negative


VG,	
  AK	
  16	
  
Anomalies	
  
DIG	
  (contd.)	
  
Breakout	
  
•  Time series characteristics
q Breakout
§  Flavors
o  Mean shift
o  Ramp up
§  Direction
o  Positive, Negative
DIG	
  (contd.)	
  
VG,	
  AK	
  17	
  
•  Time series characteristics
q  Seasonality breaks
q  Various reasons (but not limited to)
§  Daily deployments
§  Changes in traffic
§  Collection issues
Seasonality	
  Breaks	
  
VG,	
  AK	
  18	
  
DIG	
  	
  (contd.)	
  
VG,	
  AK	
  19	
  
•  Curve fitting with ARIMA
q Trend and seasonality aware
q What does the DIG forecast look like?
Trend	
  1	
  
Trend	
  2	
  
DIG	
  	
  (contd.)	
  
Trend	
  3	
  
Anomaly	
  
T	
  
Breakout	
  
DIG	
  (contd.)	
  
•  ARIMA Forecast




§  Not a good forecast because of multiple trends and anomalies
§  Wide confidence band 
§  40 Days In Green with Confidence band of 10-40
VG,	
  AK	
  20	
  
95%	
  confidence	
  band	
  
T	
  
DIG	
  
•  ARIMA Forecast with breakout(s) eliminated


§  35 Days In Green with a Confidence Band of 2-40
§  Limitations
o  Wide confidence band
o  Susceptible to anomalies
 VG,	
  AK	
  21	
  
DIG	
  	
  (contd.)	
  
T	
  
DIG	
  
•  ARIMA Forecast with Breakout and Anomaly eliminated




§  25 Days In Green with a Confidence Band of 2-40
§  Narrow confidence band
§  Improved Accuracy

 VG,	
  AK	
  22	
  
DIG	
  	
  (contd.)	
  
T	
  
DIG	
  
•  DIG Comparison
q With breakout and anomaly detection
DIG	
  (contd.)	
  
VG,	
  AK	
  23	
  
DIG	
  
T	
  
Raw	
  
Raw	
  -­‐	
  BO	
  
Raw	
  –	
  BO-­‐	
  Anomaly	
  
DIG	
  	
  (contd.)	
  
VG,	
  AK	
  24	
  
•  Discussion
q Boundary conditions
§  False seasonality
T	
  
DIG	
  (contd.)	
  
•  Limitations
q “Quality” of data: Poor forecasts
VG,	
  AK	
  25	
  
T	
  
•  Limitations
q Idiosyncratic patterns: Poor forecasts 
q Ongoing work!
VG,	
  AK	
  26	
  
DIG	
  (contd.)	
  
T	
  
DIG	
  	
  (contd.)	
  
VG,	
  AK	
  27	
  
•  Current Status – Deployed in Production
q Hundreds of services
q Fully automated for CPU, extending to other metrics
q DR Compliance
§  Combine data from multiple datacenters
§  Detect services that are close to DR threshold
•  Future Work
q Utilization Based Allocation
DIG	
  	
  (contd.)	
  
VG,	
  AK	
  28	
  
•  Anomaly Detection
q Algorithm developed in-house
q Presented at USENIX HotCloud’14[1]
[1]	
  hBps://www.usenix.org/conference/hotcloud14/workshop-­‐program/presenta1on/vallis	
  	
  
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105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 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105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%
DIG	
  	
  (contd.)	
  
VG,	
  AK	
  29	
  
•  Breakout Detection
q Algorithm developed in-house
q To be presented at Velocity New York’14 [1]
[1]	
  hBp://velocityconf.com/velocityny2014/public/schedule/detail/35485	
  
Wrapping	
  up	
  &	
  Lessons	
  learned	
  
•  DIG: Days In Green
q Proactively assess future health of a service
q Modeling and forecasting: ARIMA 
q Anomaly and Breakout removal
•  Modeling
q Hard to get a stable time series
§  Organic growth, New products, Behavioral aspect
q Exploring advanced data cleansing techniques
q Improve Breakout and Anomaly Detection
VG,	
  AK	
  30	
  
Acknowledgements	
  
•  Piyush Kumar, Capacity Engineer
•  Winston Lee, Capacity Engineer
•  Owen Vallis Jr & Jordan Hochenbaum, Ex Interns
•  Nicholas James, Intern
•  Management team
VG,	
  AK	
  31	
  
Join	
  the	
  Flock	
  
•  We are hiring!!
q https://twitter.com/JoinTheFlock
q https://twitter.com/jobs
q Contact us: @ativilambit, @arun_kejariwal
Like	
  problem	
  solving?	
  	
   Like	
  challenges?	
  	
   Be	
  at	
  cujng	
  Edge	
  	
   Make	
  an	
  impact	
  
VG,	
  AK	
  32	
  

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Days In Green (DIG): Forecasting the life of a healthy service

  • 1. Days  In  Green  (DIG):     Forecas1ng  the  life  of  a  healthy  service   Vibhav Garg, Arun Kejariwal (@ativilambit, @arun_kejariwal) Capacity and Performance Engineering @ Twitter June 2014
  • 4. Internet  trends   •  Mobile-first q 25% of total web usage [1] q Mobile data traffic: 81%, accelerating growth [1] •  Real-time [1]  hBp://www.kpcb.com/file/kpcb-­‐internet-­‐trends-­‐2014  (May  2014)   VG,  AK  4   #Selfie  
  • 5. Capacity  &  Performance   •  Organic growth q Over 255M monthly active users [1] •  Evolving product landscape •  Handle Peak Traffic q Mobile Busy Hour Is 66% Higher Than Average Hour in 2013, 83% by 2018 [2] q Events [1]  hBps://investor.twiBerinc.com/releasedetail.cfm?releaseid=843245   [2]  hBp://www.cisco.com/c/en/us/solu1ons/collateral/service-­‐provider/visual-­‐networking-­‐index-­‐vni/white_paper_c11-­‐520862.html   VG,  AK  5  
  • 6. Systema1c  Capacity  Planning   •  Objectives q Check under-allocation §  Performance, Availability o  Adversely impact user experience q Check over-allocation §  Operational efficiency o  Adversely impacts bottom line q Check poor scalability •  Approaches q Reactive §  Adversely impact user experience q Proactive Poor  UX   Underu'liza'on   VG,  AK  6  
  • 7. Systema1c  Capacity  Planning    (contd.)   •  Non-trivial q Rapidly evolving product landscape §  Changes services’ performance profile q Organic growth •  Scalable Approach q Service Oriented Architecture §  100s of services q Millions of metrics [1,2] q Automated [1]  hBp://strata.oreilly.com/2013/09/how-­‐twiBer-­‐monitors-­‐millions-­‐of-­‐1me-­‐series.html   [2]  hBp://strataconf.com/strata2014/public/schedule/detail/32431   VG,  AK  7  
  • 8. DIG:  Days  in  Green   •  Objective q Statistically determine the # of days for which a service is expected to stay healthy •  Methodology q Determine driving resource q Determine capacity threshold T q Generate a time series and forecast q DIG - # days before the service is expected to exceed T VG,  AK  8   Time   Driving  Resource   DIG   T  
  • 9. DIG    (contd.)   •  Determining Capacity Thresholds q Service specific §  Driving resource differs q Load Test §  Canaries §  Replay production traffic q Examples §  CPU at 70% §  Disk utilization at, 80% §  RPS at X requests/sec VG,  AK  9   SLA   T   CPU   Latency  
  • 10. DIG    (contd.)   •  Time Series Analysis q Data collection §  Granularity o  Daily •  Long term forecast o  Which value? •  Close to the daily peak but low standard deviation (σ) o  Assume 7 day seasonality §  Duration o  30-90 days q Model fitting q Forecast VG,  AK  10   Percen'le   Dura'on   Mean   σ   100  (Max)   57.7   3.29   99   14.4  mins   54.7   2.49   95   72  mins   53.1   2.4  
  • 11. DIG    (contd.)   •  Model fitting q Linear §  Captures trend well §  Does not fit well for seasonal time series §  No weightage to recent data VG,  AK  11   R2  =  0.56  
  • 12. DIG    (contd.)   •  Model fitting q Polynomial §  Fits better than linear, not good for forecasting §  Seasonality unaware VG,  AK  12   R2  =  0.62  
  • 13. DIG    (contd.)   •  Model fitting q Splines §  Widely used for curve fitting §  Tend to overfit data §  Not suitable for forecasting q Triple Exponential Smoothing (Holt Winters) §  Good for fit and forecasting §  Trend and seasonality modeled implicitly •  ARIMA VG,  AK  13  
  • 14. ARIMA   •  Auto-Regressive Integrated Moving Average q (p, d , q) q Explicitly models seasonality and trend q Applicable to non-stationary time series q  Worst Case degenerates to linear fit Autoregressive  component   Moving  Average  component   Moving  Average  order   Integrated  order   Autoregressive  order   VG,  AK  14  
  • 15. DIG    (contd.)   •  Model Fitting q  ARIMA in action §  Captures underlying trend §  Captures seasonality q  Are we good? Not quite! VG,  AK  15   Forecast  
  • 16. •  Time Series Characteristics q  Anomalies §  Positive §  Negative VG,  AK  16   Anomalies   DIG  (contd.)  
  • 17. Breakout   •  Time series characteristics q Breakout §  Flavors o  Mean shift o  Ramp up §  Direction o  Positive, Negative DIG  (contd.)   VG,  AK  17  
  • 18. •  Time series characteristics q  Seasonality breaks q  Various reasons (but not limited to) §  Daily deployments §  Changes in traffic §  Collection issues Seasonality  Breaks   VG,  AK  18   DIG    (contd.)  
  • 19. VG,  AK  19   •  Curve fitting with ARIMA q Trend and seasonality aware q What does the DIG forecast look like? Trend  1   Trend  2   DIG    (contd.)   Trend  3   Anomaly   T   Breakout  
  • 20. DIG  (contd.)   •  ARIMA Forecast §  Not a good forecast because of multiple trends and anomalies §  Wide confidence band §  40 Days In Green with Confidence band of 10-40 VG,  AK  20   95%  confidence  band   T   DIG  
  • 21. •  ARIMA Forecast with breakout(s) eliminated §  35 Days In Green with a Confidence Band of 2-40 §  Limitations o  Wide confidence band o  Susceptible to anomalies VG,  AK  21   DIG    (contd.)   T   DIG  
  • 22. •  ARIMA Forecast with Breakout and Anomaly eliminated §  25 Days In Green with a Confidence Band of 2-40 §  Narrow confidence band §  Improved Accuracy VG,  AK  22   DIG    (contd.)   T   DIG  
  • 23. •  DIG Comparison q With breakout and anomaly detection DIG  (contd.)   VG,  AK  23   DIG   T   Raw   Raw  -­‐  BO   Raw  –  BO-­‐  Anomaly  
  • 24. DIG    (contd.)   VG,  AK  24   •  Discussion q Boundary conditions §  False seasonality T  
  • 25. DIG  (contd.)   •  Limitations q “Quality” of data: Poor forecasts VG,  AK  25   T  
  • 26. •  Limitations q Idiosyncratic patterns: Poor forecasts q Ongoing work! VG,  AK  26   DIG  (contd.)   T  
  • 27. DIG    (contd.)   VG,  AK  27   •  Current Status – Deployed in Production q Hundreds of services q Fully automated for CPU, extending to other metrics q DR Compliance §  Combine data from multiple datacenters §  Detect services that are close to DR threshold •  Future Work q Utilization Based Allocation
  • 28. DIG    (contd.)   VG,  AK  28   •  Anomaly Detection q Algorithm developed in-house q Presented at USENIX HotCloud’14[1] [1]  hBps://www.usenix.org/conference/hotcloud14/workshop-­‐program/presenta1on/vallis    
  • 29. 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105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466%Mean Shift: 105.466% DIG    (contd.)   VG,  AK  29   •  Breakout Detection q Algorithm developed in-house q To be presented at Velocity New York’14 [1] [1]  hBp://velocityconf.com/velocityny2014/public/schedule/detail/35485  
  • 30. Wrapping  up  &  Lessons  learned   •  DIG: Days In Green q Proactively assess future health of a service q Modeling and forecasting: ARIMA q Anomaly and Breakout removal •  Modeling q Hard to get a stable time series §  Organic growth, New products, Behavioral aspect q Exploring advanced data cleansing techniques q Improve Breakout and Anomaly Detection VG,  AK  30  
  • 31. Acknowledgements   •  Piyush Kumar, Capacity Engineer •  Winston Lee, Capacity Engineer •  Owen Vallis Jr & Jordan Hochenbaum, Ex Interns •  Nicholas James, Intern •  Management team VG,  AK  31  
  • 32. Join  the  Flock   •  We are hiring!! q https://twitter.com/JoinTheFlock q https://twitter.com/jobs q Contact us: @ativilambit, @arun_kejariwal Like  problem  solving?     Like  challenges?     Be  at  cujng  Edge     Make  an  impact   VG,  AK  32