  Integrable deformations of type IIB superstring theory on
$\mathrm{AdS}_5\times S^5$ have played an important role over the last years.
The Yang-Baxter deformation is a systematic way of generating such integrable
deformations. Since its introduction, this topic has seen important conceptual
progress and has among others led to the intriguing discovery generalized
supergravity, a new low-energy effective theory. This review endeavors to not
only introduce the historical development of the Yang-Baxter deformation, but
also its relation to generalized supergravity, non-geometric backgrounds,
non-abelian T-duality and preserved Killing spinors. We supplement the general
treatment with a wealth of explicit examples.
