Corrigendum

Corrigendum to “The Fourth-Party Logistics Routing Problem Using Ant Colony System-Improved Grey Wolf Optimization”

Table 1

Parameter definition of the model.

ParameterParameter description

The number of city nodes in the transportation network also indicates the label of end point
The number of edges (3PLs) between node and node
The kth edge between node and node , where , and k is the index number of edges
The time of node , including the time of processing, inventory, loading, and unloading
The cost of node , including the cost of processing, inventory, loading, and unloading
The time of the 3PL provider in edge
The cost of the 3PL provider in edge
The transport time of the route
The transport cost of the route
The minimum time of the 3PL provider in edge
The maximum time of the 3PL provider in edge
The shortest transport time between node and node
The longest transport time between node and node
The minimum transport time of the route
The maximum transport time of the route
The minimum cost of the 3PL provider in edge
The maximum cost of the 3PL provider in edge
The maximum transport cost between node and node
The maximum transport cost between node and node
The minimum transport cost of the route
The maximum transport cost of the route
The due date required by customer
The total cost required by customer
Weight of the time
Weight of the cost
Transport capacity of the 3PL provider in edge
Reputation of the 3PL provider in edge
The required transport capacity from the task
The amount of task that transits at the node
The delay probability of the transportation tasks
The probability of overspending of the transportation tasks
The required reputation required by customer
The route from node to node
The proportion of transport tasks undertaken by edge
Whether the 3PL provider is selected between node and node to undertake the transportation task, which is a 0-1 variable
Whether the edge is selected to undertake the transportation task, which is a 0-1 variable
Whether to select node as a transit node, which is a 0-1 variable