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Table 9 Comparison of algorithm complexity

From: Improving efficiency for discovering business processes containing invisible tasks in non-free choice

GIT algorithm

Steps

Complexity

Storing and creating sequence relations of activities (Table 4)

\(O\left( {n^{2} } \right)\)

Creating invisible prime tasks (Table 5)

\(O\left( {n^{2} } \right)\)

Creating parallel relations, i.e., XOR, OR, and AND (Table 6)

\(O\left( {n^{3} } \right)\)

Creating parallel relations, i.e., XOR, OR, and AND (Table 7)

\(O\left( {n^{3} } \right)\)

Total complexity

\(O(n^{3} )\)