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We discuss hadroproduction of 4-jet final state at the LHC within thedouble-parton scattering (DPS) mechanism in the context oflarge-rapidity-distance jets. For planned and/or being currently performed highenergy experiments this is the kinematical region where searches for BFKLsignal are of the main interest. The DPS contributions are calculated in the LOcollinear approach within the so-called factorized Ansatz. We show that therelative contribution of DPS is growing with respect to standard single-partonscattering (SPS) production of dijets and to the BFKL Mueller-Navelet (MN) jetmechanism at large rapidity distance between jets. This is consistent withrecent studies of DPS effects in the case of double $D$ and double $J/\!\psi$meson production. The calculated differential cross sections as a function ofrapidity distance between the jets that are the most distant in rapidity arecompared with recent results of LL and NLL BFKL calculations for theMueller-Navelet jet production at $\sqrt{s} = 7$ TeV. The DPS contribution iscarefully studied for $\sqrt{s}$ = 7 TeV and $\sqrt{s}$ = 14 TeV and indifferent ranges of jet transverse momenta.

Production of dijets with large rapidity separation: Mueller-Navelet mechanism versus double-parton scattering