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We consider a generalized Randall Sundrum (RS) brane world scenario with acosmological constant $\Omega$ induced on the visible brane. We show that for$\Omega<0$, resolution of the hierarchy problem requires an upper bound on themagnitude of $\Omega$. The corresponding tension on the visible brane can bepositive or negative. On the other hand, there is no such bound for $\Omega>0$.However, in this case, the resolution of the hierarchy problem along with thetuning of the value of the cosmological constant to its observed value closedto $+10^{-124}$ (in Planck units) naturally lead to the tuning of the modulusto a small value of inverse Planck length as estimated in the original RSscenario.

Cosmological constant, brane tension and large hierarchy in a generalized Randall-Sundrum braneworld scenario