Title: ???????????????
|
Description |
Symbol |
Value |
|
|
Model type |
M/M/s |
Model 1 |
|
|
Arrival rate |
l |
??? |
Poisson |
|
No. of servers |
s |
??? |
|
|
Service rate/server |
m |
|
Exponential/constant |
|
Population size |
m |
??? or infinity |
|
|
No. customers for Pn |
n |
??? |
|
|
Single phase |
|
|
|
|
FCFS queue discipline |
|
|
|
|
System at steady state |
|
|
|
|
Description |
Symbol |
Value |
|
Server utilization |
r |
??? |
|
Probability of empty system |
P0 |
??? |
|
Probability of n customers in system |
Pn |
??? |
|
Probability of > n customers in system |
P>n |
??? |
|
Probability of waiting |
Pw |
??? |
|
Average no. of customers waiting in queue |
Lq |
??? |
|
Average no. of customers in the system |
Ls |
??? |
|
Average customer waiting time |
Wq |
??? |
|
Average customer time in system |
Ws |
??? |
|
i |
Pi |
Cumulative |
|
0 |
|
|
|
1 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
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Title: ______________________
Arrival rate, l = ________________
Service rate, m = ________________
Number of customers for Pn calculations, n = _________________
Model:
(*) Model 1: M/M/1
( ) Model 2: M/M/s s = _________________
( ) Model 3: M/D/1
( ) Model 4: M/M/1, finite population size m = ________________
[Compute statistics]