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Table 1 Table of parameters

From: Optimal multi-dimensional dynamic resource allocation in mobile cloud computing

Parameters Indicator
λ min i Minimum required incoming traffic rate of the i th
  application
λ max i Maximum required incoming traffic rate of the i th
  application
λ i Incoming traffic rate of the i th application
S i Effective processor speed (instructions per second)
  dedicated to the i th application in a mobile device
C i Instructions of i th application per time slot
R min i Minimum required transmission rate of the i th application
R max i Maximum required transmission rate of the i th application
R i Transmission rate of the i th application
γ i Instructions have to be processed in cloud servers i th
  application
χ i dep Utilization factor of the i th application dependent on
  incoming traffic rate
χ i indep Utilization factor of the i th application independent from
  incoming traffic rate
D i th Delay threshold of i th application traffic
D i Delay of i th application traffic
η i Mobile data offloading to clouds instructions of i th
  application
T D i Uploading data of i th application
R k max Maximum achievable transmission rate using k th
  interface
H k Channel quality indicator of the k th interface
Dw k th Achievable guaranteed downlink delay of k th interface
D w k Downlink delay of k th interface
α k w Cost coefficient of k th wireless download rate
  (per instruction)
θ k Downlink QoS exponent of k th interface
μ k Download rate of k th interface
Pmaint(k) Connection power consumption of k th interface
P Error Th Error rate threshold
β j n Delay between the wireless cloud and j th cloud server at
  the n th time slot
β j n ̂ Estimation of the β j n
S j Effective processor speed of j th cloud server
α j DL Cost coefficient of downlink traffic of j th cloud server
α j UL Cost coefficient of uplink traffic of j th cloud server
α j comp Cost coefficient cloud computation of j th cloud
P comp Process power consumption per processing speed unit
E n n th moment
ε(n) Mobile energy level at the n th time slot
B g(n) Mobile budget fee at the n th time slot