N | Number of customers. |
X | Set of all customers. |
[(x)\vec] | Location of one customer. |
m[(x)\vec] | Weight of customer [(x)\vec]. |
l | Library size. |
dj | Popularity of object j. |
n | Number of nodes. |
[(n)\vec]i | Location of node i. |
li | Total resources of node i. |
Lij | Allocation for object j in node i. |
C[(x)\vec]i | communication cost between customer [(x)\vec] and node i. |
p[(x)\vec]ij | Assignment of customer [(x)\vec] to node i for object j. |
m | Total weight of the customers. |
L | Minimum allocatable resource. |
Dij | Demand in node i for object j. |
c | Total number of cached files. |
r | Utilization of the caching strategy. |
D | Communication cost. |
[^(D)] | Fuzzy objective function. |
lj* | Allocation for object j in the entire network. |
jij | Mediator variable defined in (23). |
wij | Mediator variable defined in (31). |
y[(x)\vec]i | Mediator variable defined in (34). |