The Solution
An excerpt from the full solution report showing the first 10 values of P is listed below:
Variable Value
LMDA 1.500000
S 5.000000
MU 2.000000
LAST 41.00000
P( 1) 0.2450015
P( 2) 0.1837511
P( 3) 0.1515947
P( 4) 0.1221179
P( 5) 0.9097116E-01
P( 6) 0.5707410E-01
P( 7) 0.4276028E-01
P( 8) 0.3099809E-01
P( 9) 0.2187340E-01
P( 10) 0.1538003E-01
Solution: QUEUEM
The probability that at least one workstation is free is the probability that four or fewer motors are in the system, which is the sum of the first five P( i). In this case, it works out that that at least one workstation will be free only about 70% of the time. Experimenting with the model by increasing the number of servers reveals that you will need at least seven workstations to provide the level of service required by the new priority plan.