  Holographic Ricci dark energy has been proposed ago has faced with problems
of future singularity. In the present work we consider the Ricci dark energy
with an additive constant in it's density as running vacuum energy. We have
analytically solved the Friedmann equations and also the role played by the
general conservation law followed by the cosmic components together. We have
shown that the running vacuum energy status of the Ricci dark energy helps to
remove the possible future singularity in the model. The additive constant in
the density of the running vacuum played an important role, such that, without
that, the model predicts either eternal deceleration or eternal acceleration.
But along with the additive constant, equivalent to a cosmological constant,
the model predicts a late time acceleration in the expansion of the universe,
and in the far future of the evolution it tends to de Sitter universe.
