  The Remodeling Conjecture proposed by Bouchard-Klemm-Mari\~{n}o-Pasquetti
(BKMP) relates the A-model open and closed topological string amplitudes (open
and closed Gromov-Witten invariants) of a symplectic toric Calabi-Yau 3-fold to
Eynard-Orantin invariants of its mirror curve. The Remodeling Conjecture can be
viewed as a version of all genus open-closed mirror symmetry. The SYZ
conjecture explains mirror symmetry as $T$-duality. After a brief review on SYZ
mirror symmetry and mirrors of symplectic toric Calabi-Yau 3-orbifolds, we give
a non-technical exposition of our results on the Remodeling Conjecture for
symplectic toric Calabi-Yau 3-orbifolds. In the end, we apply SYZ mirror
symmetry to obtain the descendent version of the all genus mirror symmetry for
toric Calabi-Yau 3-orbifolds.
