  This paper investigates the energy saving of base station (BS) deployed in a
1-D multi-hop vehicular network with sleep scheduling strategy. We consider
cooperative BS scheduling strategy where BSs can switch between sleep and
active modes to reduce the average energy consumption utilizing the information
of vehicular speeds and locations. Assuming a Poisson distribution of vehicles,
we derive an appropriate probability distribution function of distance between
two adjacent cluster heads, where a cluster is a maximal set of vehicles in
which every two adjacent vehicles can communicate directly when their Euclidean
distance is less than or equal to a threshold, known as the communication range
of vehicles. Furthermore, the expected value of the sojourn time in the sleep
mode and energy saving are obtained. The numerical results show that the sleep
scheduling strategy significantly reduces the energy consumption of the base
stations.
