One weakness is that little research has been done to understand the central executive, for example its capactity is still unknown. Furthermore, It cannot be falsified.
One strength is that there is evidence from a case study to support the Working Memory Model. KF suffered brain damage and his impairment was mainly for verbal information - his memory for visual information was largely unaffected. This shows that there are separate STM components for visual information, the visuo-spatial sketchpad and verbal information, the phonological loop.