The present disclosure is directed to an endoprosthesis comprising a graft component and at least one support component with varying compressibility along the length of the endoprosthesis. In various embodiments, the endoprosthesis comprises at least a first segment and a second segment, wherein the first segment is more compressible than the second. In another embodiment having a second segment between the first and third segments, the third segment can also be more compressible than the second segment. Alternatively, in an embodiment, a second segment can have greater rigidity than a first segment, as well as a third segment, if present.