Table 1 Notations used in this paper
From: Internet data budget allocation policies for diverse smartphone applications
Notation | Description |
|---|---|
\(\mathcal {N}\) | Set of all applications in a smartphone |
\(\mathcal {T}\) | Internet data budget plan period |
\(\mathcal {P}\) | Set of priorities of all applications |
B | Internet data budget |
B 1 | Reserved budget |
B 2 | Flexible budget |
t m | m’th time cycle |
α | Control parameter |
U i,t | Resource utilization of application i at time |
cycle t | |
r i,t | Amount of reserved budget for application i |
at time cycle t | |
x i,t | Used amount of reserved budget for |
application i at time cycle t | |
f i,t | Amount of flexible budget for application i |
at time cycle t | |
y i,t | Used flexible budget for application i |
at time cycle t | |
p i | Priority of i’th application |
Δ | Time interval for algorithm execution |
b i,t | Bandwidth usage ratio of i’th application |
at time cycle t | |
\(\bar {b}_{i,t}\) | Estimated bandwidth usage ratio of i’th |
application at time cycle t | |
M | Number of time cycles for WAUP model |
w i | Weight of i’th time cycle |
e l | Uncorrelated Gaussian noise |
θ l | Moving average coefficient |
L | Lag operator |