Design an Effective Blood Distribution Network with Minimal Impacts on the Environment and Blood Supply Assurance

Table 1

Notations used in the model.

Sets:
N	Set of hospitals, ;
I	Set of hospitals that can be selected as LBB, , ;
V	Set of vehicles, ;
Parameters:
M	a large number;
o	City blood center;
b	Maximum number of LBBs;
	Mean daily demand of hospitals ;
t	Delivery cycle of LBBs;
	Distance between and ;
c	Carbon emissions per unit distance per unit weight carried generated by blood delivery vehicles;
q	Maximum vehicle capacity;
Decision variables:
	Binary variable. If hospital is selected as LBB, it is equal to 1; otherwise equal to 0;
	Binary variable. If hospital is serviced by LBB , it is equal to 1; otherwise equal to 0;
	Binary variable. If hospital is the end node of vehicle , it is equal to 1; otherwise equal to 0;
	Binary variable. If hospital is the start node of vehicle , it is equal to 1; otherwise equal to 0;
	Binary variable. If hospital is visited by vehicle , it is equal to 1; otherwise equal to 0;
	Binary variable. If vehicle drives from hospital To hospital , it is equal to 1; otherwise equal to 0;
	Distance of the route of vehicle from the start Node to hospital ;
	Integer variable. Number of vehicles from to ;