Get your organisation to implement an electronic authorization system.
This is where each person that must regularly sign paperwork can instead authorize documents in electronic form.
This will reduce the time taken to authorize actions (forms)
The originator could prepare an electronic form and send the link to all the people that must sign it. Those people log on, review the document, and authorize it by ticking a box. Confirmation would then be sent to the originator on which authorizations have been attached.
This will save a lot of server space, bandwidth, and ink as people would not have to print in colour, sign, scan, and email back again.
It can also reduce processing time from weeks to hours or minutes.
It should reduce the processing costs. To chase signatures can take the full time work of a person for each type of form (if done regularly). By doing electronic authorization, I would estimate 90% of the coordination time and cost could be saved (excluding the software cost).
Workflow packages are often used to implement this function.