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Table 1 The list of symbols used in the algorithm

From: A slave ants based ant colony optimization algorithm for task scheduling in cloud computing environments



T i

Task, i {1, 2, …, n}

R j

Resource, j {1, 2, …, m}


A set of nodes an ant traveled

\(\eta\) i,j

The importance between node i and j

p i,j

The probability that an ant transits from node i to j

τ i,j

The amount of pheromones between T i and R j

q 0

The probability parameter for host ants

s n

The probability parameter for slave ants, n {1, 2, …, k}


The number of slave ants of a host ant

α, β

The parameters that determine pheromones and reinforcement


The parameter for local pheromones evaporation


The parameter for acceleration of local pheromones evaporation


The parameter for global pheromones evaporation