Research Article

Enhanced Adaptive Cloudlet Placement Approach for Mobile Application on Spark

Table 1

Mathematical notation.

SymbolExplanation

Denotes the set of points in mobile devices activity area,
Denotes the set of mobile devices,
Denotes the set of mobile devices positions
Denotes the () mobile device in D
Denotes the position of dn at time t, , where and represents the latitude and longitude of the location
Denotes the set of the cloudlets,
Denotes the cloudlet
Denotes the set of the central position of the cloudlets
Denotes the central position of at time ,
Denotes the set of the Aps,
Denotes the converage radius for
Denotes the mobiles devices collection of at time t,
Denotes the Euclidean distance between and ,
Denotes the mobile devices collection of
Denotes the density threshold for cloudlet placement judgment
Denotes the number of covered mobile devices by all cloudlets
Denotes the mobile device collection of at time
Denotes the available positions that cloudlets can only stay
Denotes the available position that cloudlets can stay
Denotes the edges between adjacent position in V
Denotes the edge between two APs and
Denotes the weight of all cloudlet available positions
Denotes the paths graph in A,
Denotes the coordinates of position