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Operations Research Models and Methods
 
Problems Section
Problems for Queueing Models
 - Fill in the Blanks 1

Customers arrive to a finite queueing system with a mean time between arrivals of 6 minutes. There are three servers. The mean service time is 15 minutes. Interarrival and service times have exponential distributions. There are two spaces for customers to wait when all three servers are busy. Customers who arrive when the servers are all busy and both space are full, balk. Fill in the missing entries in the table below. You should be able to do this with simple arithmetic. It is not necessary to use the Queueing Excel add-in.

Quantity
Value
Units
Arrival Rate when Empty
 
per hour
Service Rate/Channel
 
per hour
Mean Number in System
2.6
 
Mean Time in System
 
hours
Mean Number in Queue
 
 
Mean Time in Queue
 
hours
Prob. System Full
0.137
 

 


  
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