  We present an estimation of the contribution of double parton scattering
(DPS) for jets widely separated in rapidity and for four-jet sample. In the
case of four-jet production we calculate cross section for both single-parton
scattering (SPS) using the code ALPGEN as well as for DPS in LO collinear
approach. The DPS contribution is calculated within the so-called factorized
Ansatz and each step of DPS is calculated in the LO collinear approximation. We
show that the relative (with respect to SPS dijets and to the BFKL
Mueller-Navelet (MN) jets) contribution of DPS is growing at large rapidity
distance between jets. The calculated differential cross sections as a function
of rapidity distance between the most remote in rapidity jets are compared with
recent results of LL and NLL BFKL calculations for the Mueller-Navelet jet
production at $\sqrt{s} = 7$ TeV. Our results for four-jet sample are compared
with experimental data obtained recently by the CMS collaboration and a rather
good agreement is achieved. We propose to impose different cuts in order to
enhance the relative DPS contribution. The relative DPS contribution increases
when decreasing the lower cut on the jet transverse momenta as well as when a
low lower cut on the rapidity distance between the most remote jets is imposed.
