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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