Atpl system
Classified in Mathematics
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Notation waiting models 1-3
l= Arrival rate
μ = Service rate
1/ μ=Average service time
1/l=Average time Between arrivals
p = l/μ= Ratio of total arrival rate to service rate for
A single server
Lq = Average number waiting in line
Ls =Average number in system (including those being served)
Wq = Average time waiting in line
Ws =Average total time in system (including time to be served)
n = Number of units in the system
S = Number of identical service channels
Pn =Probability of exactly n units in system
Pw =Probability of waiting in line
Notation waiting model 4
D = Probability that an arrival must wait in line
F = Efficiency factor, a measure of the effect of having to wait in line
H = Average number of units being
Served (repared) in the sytem
J = Population source less those in queuing system (N - n)
L = Average number of units in line
S = Number of service channels
n = Average number of units in queuing system (including the one being Served)
N = Number of units in population source
Pn = Probability of exactly n units
In queuing system
T = Average time to perform the service
U = Average time between customer
Service requirements W = Average waiting time in line
X =Service factor, or proportion of service time required