# Atpl system

Classified in Mathematics

Written at on English with a size of 4.37 KB.

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

**W**s =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