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Table 1 Interpretation of aggregated process evolution function \(S_{P}(t|\tilde {s})\)

From: Performance analysis of concurrent workflows

Interval

\(S_{P}(t|\tilde {s})\)

Interpretation

t<τ (E 0)

0

Job array {P j } has not been started

\(\tau \!(E_{0}) \le t< \tau \!(\tilde {E}_{1})\)

1

Input data are being copied to the HPC cluster

\(\tau \!(\tilde {E}_{1})\le t< \tau \!(\tilde {E}_{2})\)

2

At least one computing task has been submitted

\(\tau \!(\tilde {E}_{2})\le t< \tau \!(\tilde {E}_{3})\)

3

At least one computing task is executing

\(\tau \!(\tilde {E}_{3})\le t< \tau \!(\tilde {E}_{4})\)

4

All computing task have been finished

\(\tau \!(\tilde {E}_{4}) \le t\)

5

All jobs have been finished

  1. Events E i are registered by a set of synchronized clocks τ (E i )