T
_{
i
}
 Task, ∀i ∈ {1, 2, …, n}

R
_{
j
}
 Resource, ∀j ∈ {1, 2, …, m}

S

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}

k

The number of slave ants of a host ant

α, β

The parameters that determine pheromones and reinforcement

\(\upphi\)

The parameter for local pheromones evaporation

d

The parameter for acceleration of local pheromones evaporation

p

The parameter for global pheromones evaporation
