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Advances, Systems and Applications

Table 1 Variables in BTP

From: BTP: automatic identification and prediction of tasks in data center networks

Variable

Description

Variable

Description

fi

The ith flow

d(fi,fj)

The distance between two flows fi and fj

A

Distance matrix T

wmax

Maximum threshold of task width

Ks

Threshold of small tasks

Fs(x)

CDF of task size

Fw(x)

CDF of task width

Fl(x)

CDF of task length

Fs,w(x)

Joint distribution function of task size and task width

Δ

Threshold of task width

P(W)

The Probability that the task width in the trace is within the range of [K,Δ]

P(SW)

The probability that the task width is within the range of [K,Δ] and it is a small task

L

Task length

S

Task size

w

Task width

W

Task width set

P(S=0)

The small task probability

P(S=1)

The large task probability

P(wi|S=0)

Conditional probability of task width with small task

P(wi|S=1)

Conditional probability of task width with large task

P(S=0|wi)

Conditional probability of small task with task width wi

P(S=1|wi)

Conditional probability of large task with task width wi