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Queuing Models

The term queue is known by all of us, we are aware of the term queuing and we know that it is a line which the people make when they go for ticket reservation in railway, when they visit to shop (ration shop), when they visit to doctor’s clinic, when the students go for an assembly and for reaching to the bus seat, when somebody waits in a queue to achieve something, when the business man go to bank for withdraw the money by his with drawl slip and so on it continues accordingly. How perfect you are in making this line, how perfect you are in improving our nation’s growth and development, that’s how perfect the queue continues.

This theory helps in trying the waiting lines that exist and the solution which offered is to improve the desired performance and to increase the level of performance. There are three main features attached with the queuing theory. They are:

1. The commuters who arrives to purchase the railway tickets.

2. The parts which needs to be arrived at the Assembly department to be assembled.

3. In an order desk, there is a requirement of invoices arriving.

Waiting line is a process which depends on the process of arrival. It can be either single or it can be grouped together. It is either controlled or uncontrolled. The arrival process is where under control is known as deterministic and where there is no control in the process is called as probabilistic process. It depends on the situation whether it is state dependent or it is totally independent for example to understand we can say that a long line and long queue either help in encouraging or discouraging the people. It helps the people to join the queue in some form or other. These are the examples of arrival and there are other examples of service which are as follows:

The part which is in number creates an assembly in the assembly shop. The number of orders or the number of invoices helps in processing the order of the clerk which makes the processing easy and very much suitable. The number of breakdown that is repaired in the maintenance shop creates an easy task and also it helps in analyzing the services that has been offered and asked by the process or requirements. These characteristics of the waiting line are depending on the characteristics of the services that have been offered.

The disciplines of queuing theory depend on various characteristics which are as follows:

The queuing should be on the basis of first come first served and the first person should get the chance first when compared to another ten who came late and be on the line. There is also a process to serve the last arrival on first priority and serve the last one first.

There are different types of queuing systems:

It can be divided into four categories:

1. The department of servicing should be one and the person who does servicing also should be single or individual, there is a requirement mere a line for waiting for service.

2. The line is individual but there are lot of services performed and there is an option where customers can go for multiple options they have multiple choices to go for servicing.

3. The third one is based on the number of servers which help in performing the equal and same type of service, which helps the customer to wait in a line or in a queue.

4. The fourth and the last one are-“here the number of different kinds of services is available and they perform same kind of service in this category.”