  The Remodeling Conjecture proposed by Bouchard-Klemm-Marino-Pasquetti
[arXiv:0709.1453, arXiv:0807.0597] relates all genus open and closed
Gromov-Witten invariants of a semi-projective toric Calabi-Yau
3-manifolds/3-orbifolds to the Eynard-Orantin invariants of the mirror curve of
the toric Calabi-Yau 3-fold. In this paper, we present a proof of the
Remodeling Conjecture for open-closed orbifold Gromov-Witten invariants of an
arbitrary affine toric Calabi-Yau 3-orbifold relative to a framed Aganagic-Vafa
Lagrangian brane. This can be viewed as an all genus open-closed mirror
symmetry for affine toric Calabi-Yau 3-orbifolds.
