Explain the structure of a singleserver waiting line model T

Explain the structure of a single-server waiting line model

This is a qualitative analysis question

Solution

A single server with a single waiting line is the simplest form of queuing system. As such, it will be used to
demonstrate the fundamentals of a queuing system.

The waiting line system may use a single line/single server configuration which means one line forms in front of
a single service channel. A single service channel may have many servers, but room for only one customer.
That is called a single service channel. Grocery stores have multiple single line/single channel configurations.
Banks, on the other hand, employ a single line/multiple channel or teller configuration.

Departures from the waiting line to the server are assumed to be first in, first out or first come, first served.

The main feature of a service SERVER in a waiting line system is the service time, also assumed to follow the
Exponential Distribution when the time to perform service for one customer is independent from the time to perform
service for others. If the average time to serve one customer is 20 minutes, then the mean service rate in hours may be
found by converting 20 minutes to hours (20/60th of an hour), then taking the inverse:

Mean Service Rate = 60/20 = 3 customers per hour

rates are always stated as per hour, per minute, or per time unit; where as service times and times between
arrivals are stated simply as hours, minutes, or time unit.

Once service is completed, it\'S ASSUMED That customers exit the system and return to the population. Or they may exit one
system and feed another. If the second system is independent of the first, then there may be two
separate and distinct single line/single server systems.