Multidepot Two-Echelon Vehicle Routing Problem for Earthwork Allocation Optimization

Table 11

Variables and explanation.

Variables	Explanation
	Number of replenishment centers
	Number of dump trucks in the j^th replenishment center
	Number of cutting fields
	Number of filling fields
	The hauling distance of the i^th dump truck from the j^th replenishment center to the k^th cutting field
	The hauling distance of the i^th dump truck from the k^th cutting field to the ^th filling field
	The hauling distance of the i^th dump truck from the ^th filling field to the k^th cutting field
	The hauling distance of the i^th dump truck from the ^th filling field to the j^th replenishment center
	The average fuel consumption per unit distance of each dump truck at no load
	The average fuel consumption per unit distance of each dump truck at full load
	Binary decision variable: whether the i^th dump truck at the j^th replenishment center travels from the j^th replenishment center to the k^th cutting field
	Binary decision variable: whether the i^th dump truck at the j^th replenishment center travels from the k^th cutting field to the ^th filling field
	Binary decision variable: whether the i^th dump truck at the j^th replenishment center travels from the ^th filling field to the k^th cutting field
	Binary decision variable: whether the i^th dump truck at the j^th replenishment center travels from the ^th filling field to the j^th replenishment center
	Total number of available dump trucks at the j^th replenishment center
	Total number of fully loaded dump trucks needed to haul all earthwork in the k^th cutting field
	Total number of fully loaded dump trucks needed to fill the ^th filling field
	The maximum fuel capacity of the i^th dump truck at the j^th replenishment center
	Population size
	The fitness value of the n^th unit
	The probability of selecting each unit from the population
	The allowable peak crossover rate
	The crossover rate
	The ratio of current optimal individuals to the whole population size
	The maximum mutation rate
	The mutation rate
	The number of iterations when the optimal solution remains unchanged for over 50 iterations