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Operations Research Models and Methods
 
Problems Section
Problems for Queuing Models
 - Fill in the Blanks 2

Partial results concerning a queuing system are shown below. The system is processing discrete parts using a first come first served discipline. Fill the empty cells. The arrival and service processes are not necessarily Poisson. You should be able to do this with simple arithmetic. It is not necessary to use the Queuing Excel add-in.

Quantity
Value
Units
Arrival Rate when Empty
10
per hour
Type
M/M/2/5
 
Mean Number in System
3.277
parts
Mean Time in System
 
hours
Mean Number in Queue
 
parts
Mean Time in Queue
 
hours
Mean Number in Service
 
parts
Mean Time in Service
 
hours
Throughput Rate
   parts/hour
Efficiency
 
 
Prob. System Full
   
P(0)
0.046
 
P(1)
0.116
 
P(2)
 
0.145
 
P(3)
0.182
 
P(4)
0.227
 
P(5)
0.284
 
P(6)
0.000
 

 


  
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