
60 Advances in Mobile Cloud Computing Systems
where
p
GG
denotes the probability that the next state is the good state
if the current state is the good state
p
BB
denotes the probability that the next state is the bad state
if the current state is the bad state
p
GB
denotes the probability that the next state is the bad state
if the current state is the good state
p
BG
denotes the probability that the next state is the good state
if the current state is the bad state
We have p
GB
=1−p
GG
and p
BG
=1−p
BB
. Since the state sojourn
time is geometrically distributed, the number of time slots being
in the good and bad state is T
G
= 1/(1 −p
GG
)andT
B
= 1/(1 −p
BB
),
respectively