The production of Heavy-flavor quark c(c) and b(b) in pp collisions is described under PQCD framework, the extrapolation from hadron-hadron up to nucleus-nucleus collisions is based on Glauber model and taking into account nucleus shadowing effect. We simulate the heavy quark production and their decay to lepton in Pb-Pb collision at LHC. The muon rate and the invariant mass spectrum of dimuons have been predicted in ALICE forward region. The detection effect analysis technique and signal/background extraction of muon pairs are discussed. The measurement preci...