
Unified Framework toward Solving Sensor Localization 427
17.6.2 MARKOV PROCESS MODEL FOR CPS LIFE SPAN ESTIMATION
In a CPS application, let us consider the question of how long a sensor cluster can last with required
K-coverage. In other words, how long it takes to reduce the sensor population from n sensors to k
sensors (from state S
n
to state S
k
) due to random sensor failures.
Let t be the time interval between two observations of a cluster member degree. The measure-
ment of t can be in hours or days based on the quality of sensor. We set t small enough so that it
is only possible for one sensor to fail within this time window. Let X
i
, denote ...