Trucks arrive at a warehouse at a rate of 27.0 per hour during business hours.Each crew-and-dock can unload the trucks at a rate of 10 trucks per hour.
Each crew-and-dock is assumed as a server, crew-and-dock is not separate units.
The waiting line of trucks has caused the warehouse manager to have 3 crew-and-docks.
Each crew-and-dock can unload one and only one truck at a time.
The cost rates are as follow:
Each crew-and-dock costs $90 per hour; truck & driver waiting cost is $100 per hour.
Assume Poisson arrival and Exponential processing time.
1. Compute the total hourly crew-and-dock costs.
2. Compute the utilization of the crew-and-docks.
3. What percentage of time the crew-and-docks are idle?
4. Compute the total hourly truck-and-drivers cost during the time that the trucks are unloading.