This　work　is　a　continuation　of　our　previous　work,　in　the　present　paper　we　study　the　generalized　nonlinear　initial-boundary　Riemann　problem　with　small　BV　data　for　linearly　degenerate　quasilinear　hyperbolic　systems　of　conservation　laws　with　nonlinear　boundary　conditions　in　a　half　space　{(t,x)|t≥0,x≥0}.　We　prove　the　global　existence　and　uniqueness　of　piecewise　C1　solution　containing　only　contact　discontinuities　to　a　class　of　the　generalized　nonlinear　initial-boundary　Riemann　problem,　which　can　be　regarded　as　a　small　BV　perturbation　of　the　corresponding　nonlinear　initial-boundary　Riemann　problem,　for　general　n×n　linearly　degenerate　quasilinear　hyperbolic　system　of　conservation　laws;　moreover,　this　solution　has　a　global　structure　similar　to　the　one　of　the　self-similar　solution　u=U(xt)　to　the　corresponding　nonlinear　initial-boundary　Riemann　problem.　Some　applications　to　quasilinear　hyperbolic　systems　of　conservation　laws　arising　in　the　string　theory　and　high　energy　physics　are　also　given.　©　2011　Elsevier　Inc.