  For every regular cardinal $\alpha$, we construct a cofibrantly generated
Quillen model structure on a category whose objects are essentially DG
categories which are stable under suspensions, cosuspensions, cones and
$\alpha$-small sums. Using results of Porta, we show that the category of
well-generated (algebraic) triangulated categories in the sense of Neeman is
naturally enhanced by our Quillen model category.
