The following scenario:
Customers come to the center and get in touch with the information and wait until they are called from the waiting area. (As with the doctor, for example)
Customers should not wait more than 10 minutes. This maximum waiting time varies from day to day. This means that more waiting time can be calculated on Monday than on Friday, for example. Always 100% of the customers are processed.
We know when the customers arrive and how long the average processing time is.
There is a workstation limitation: that is, if only 6 workstations are available, only 6 workstation can be occupied to the maximum. If only 6 workstations are available, only these 6 can be scheduled at maximum. This number is also variable.
So the goal is: how many workstations should be occupied (per interval) so that the maximum waiting time for a customer is met.
The following information is available to us per interval (15 minutes):
- Max. workspaces per interval
- Customer volume and average processing time per interval
How do you calculate this best? Does a Poisson distribution make sense here?
Thanks a lot!
This calculator can be used to analyze each period, that, as far as I can see, fits the M/M/c queue model:
https://www.supositorio.com/rcalc/rcalclite.htm
Of course, you can implement the formulas in any software and automate the finding of the number of workstations for each period.