From memory (it’s been a while since I last used ProVision) the workflow modeler allows you to use swimlanes. Any process you drag onto a swimlane is automatically associated with the organization the swimlane represents.

If your question is “Can you have the software draw a workflow with swimlanes once you linked processes to organizations” then I have to say that I have not seen an application to date that does that.

My approach for generating workflow/process diagrams is following:
1. Interview the people that perform the work or their direct managers.
2. Normalize the processes (use standard process IDs/names).
3. Draw swimlanes to represent the organizations/roles
4. Drop the processes in the swimlanes
5. Add inputs/outputs (connect processes).
6. Optionally add other relevant information (technology used, skills etc).

Most case tools I used allow you to list (not a picture but a list of process descriptions) all processes a role or organization is associated with. The picture turns into a list of responsibilities by role or organization.

On Visio: Metastorm markets a Vision importer for ProVision. It helps getting the pictures in ProVision. You still have to do the process, role and organization setup and association.

Your.D2.3 → Your.S2.1 → Supplier.Dx.1 → Supplier.Dx.2 → Supplier.Dx.3 etc.

It’s all routed through the sourcing process. Please note the x for the supplier processes. X can be 1 (Make to Stock for your supplier), 2 (Make to Order for your supplier) or in some cases even 3 (Engineer to Order).

Since our manufacturing is outsourced, we do not do any M processes, but I’ll be sure to verify with our suppliers.