Let $K^b(\mathrm{proj}\, A)$ be the bounded homotopy category of chain complexes over $\mathrm{proj}\, A$. In Rickard's paper 'Derived categories and stable equivalence', he defines a tilting complex as an object $T$ such that $\mathrm{Hom}_{K^b(\mathrm{proj}\, A)}(T,T[n])=0$ for all $n \neq 0$ and such that the full subcategory $\mathrm{add}(T)$ of $K^b(\mathrm{proj}\, A)$ generates $K^b(\mathrm{proj}\, A)$ as a triangulated category.

What exactly does it mean for $\mathrm{add}(T)$ to generate $K^b(\mathrm{proj}\, A)$ as a triangulated category? Under what operation or process does this generation occur?