Security for Multihop Wireless Networks

214  ◾  Security for Multihop Wireless Networks

In modeling the sensor network lifetime, the study obtained formula applies to

any definition of the network lifetime (Chen and Zhao 2005) that is derived based

on the Strong law of large numbers (SLLN). is is given by

ε

ε

ε

[]

[]

[]

A =

−

+

ε

λ

ow

cr

E

PE

(8.15)

where

ε

0

= total nonrechargeable initial energy

ε

[E

w

] = expected wasted energy (i.e., total unused energy in the network when

it dies)

P

c

= constant continuous power consumption over the whole network

λ = average sensor reporting rate (defined as the number of data collections per

unit time)

ε

[E

r

] = expected reporting energy consumed by all sensors in a ra ...