Channels ▼   Tough Apps: How Much Hardware Should I Buy?
searchtraffic = T + (0.4 * searchtraffic) + (0.2 *
specifytraffic) + (0.6 * addtraffic)  specifytraffic = (0.2 *
searchtraffic) + (0.3 * specifytraffic) addtraffic = (0.1 *
specifytraffic) specifytraffic = 0.2/0.7 * searchtraffic
addtraffic = 0.1 * 0.2/0.7 * searchtraffic  Thus, searchtraffic=
T+(0.4*searchtraffic)+(0.2*0.2/0.7*searchtraffic)+(0.6*0.02/0.7*
searchtraffic)=T+(0.4+0.057+0.017)*searchtraffic.  So
searchtraffic=T/(1-(0.4+0.057+0.017))=T/0.526=10000/0.526
=19,011.41 arrivals per second. We'll call this 20,000 arrivals
per second to give us some wiggle room.
specifytraffic=20,000*0.2/0.7=5,714 arrivals per second, which
we'll call 6,000 arrivals per second.
addtraffic=20,000*0.1*0.2/0.7=571.4 arrivals per second, which
we'll call 600.  Because each task requires 0.1 seconds on a
single server, we want an arrival rate of roughly 9 per second
(we could actually deal with more since 2.9/3=9 2/3). we need
roughly 2955 servers with 2220 going to