A Benders Decomposition Method for Dynamic Facility Location in Integrated Closed Chain Problem

Table 2

Definition of model parameters.

	The fixed operating cost for facility i type “f” during time period t
	The fixed operating cost for facility i type “h” during time period t
	The fixed operating cost for facility i type “r” during time period t
	The fixed cost for opening a forward processing facility i type “f” at time period t which is closed at time period t−1
	The fixed cost for opening a forward processing facility i type “h” at time period t which is closed at time period t−1
	The fixed cost for opening a forward processing facility i type “r” at time period t which is closed at time period t−1
	The fixed cost for closing a forward processing facility i type “f” at time period t which is opened at time period t−1
	The fixed cost for closing a forward processing facility i type “h” at time period t which is opened at time period t−1
	The fixed cost for closing a forward processing facility i type “r” at time period t which is opened at time period t−1
	The inventory unit cost for holding new product at time period t
	The inventory unit cost for holding backward product at time period t
	The cost of conveying new products from plant l to facility i at time period t
	The cost of conveying new products from facility i to customer j at time period t
	The cost of conveying backward products from customer j to facility i at time period t
	The cost of recovering used products
	The price realized by the firm for selling used products to factory l at time period t
	The price realized by the firm for buying used products from customer j at time period t
	The cost of conveying new products from facility i to facility j at time period t
	The revenue of capture per unit of products at time period t
	Maximum quantity of the new product admitted by plant l to be shipped (sell) at time period t
	The percentage at which the used products will be recovered in a facility