  A joint transmitter-receiver energy harvesting model is considered, where
both the transmitter and receiver are powered by (renewable) energy harvesting
source. Given a fixed number of bits, the problem is to find the optimal
transmission power profile at the transmitter and ON-OFF profile at the
receiver to minimize the transmission time. With infinite capacity at both the
transmitter and receiver, optimal offline and optimal online policies are
derived. The optimal online policy is shown to be two-competitive in the
arbitrary input case. With finite battery capacities at both ends, only random
energy arrival sequence with given distribution are considered, for which an
online policy with bounded expected competitive ratio is proposed.
