On shutdowns, we minimized the loss time by having the shift supervisors get to site on time, and chase down the safety officer authized to write WP's. This was the first item of business when the super arrived on site. Since no one worked until the permits were issued, the shift supervisor made sure the permits were issued. He did not leave the safety officer's side until he got his permit to work. After a day or two of this everyone falls into a routine unless a new person is authorized to write the WP. We would take 30 minutes to write out up to two dozen permits for the work area. If one permit took longer to perform, we prioritized based upon the circumstances. Sometimes during mid shift, we would obtain a confined space permit for internal inspections after everyone in the crew was set up to work. If we were working 12 hour shifts, both supervisiors would be present going over work packages and the WP would expire. Then, the working super would go to the operations station and find the person writing the WP. At times we had two or three men writing permits and perfoming safety inspections during the work. This system worked very well and when it did not, the Plant Manager knew about it. We were there busting a gut (as professionals)to help them minimize downtime and all they needed to do was make sure WP's were a priority with everyone. Thankfully everyone understood and WP's represented the least of our troubles.
Good Luck