Optimal multi-dimensional dynamic resource allocation in mobile cloud computing

Vakilinia, Shahin; Qiu, Dongyu; Ali, Mustafa Mehmet

doi:10.1186/1687-1499-2014-201

EURASIP Journal on Wireless Communications and Networking

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
P_maint(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
$\hat{β_{j}^{n}}$	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

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