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The Queuing theory is a mathematical study that deals with the blockage of queues or waiting lines. A.K. Erlang has stated the above theory to predict the waiting time and the queue lengths.

In our daily life, we face queues in the bank, billing counter, movie counters, etc. Queuing theory describes the process by which we can reduce the waiting time by optimizing the no of service stations or adjust the service times.

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Meaning of Queuing Theory

Queuing theory analyze the delays that take place in waiting line in a mathematical way. This theory considers the use of a model to predict the time to wait for a line and the length of the line. 


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It considers each aspect of waiting in line, number of service counters, number of system places, the process of services, customers. The theory of probability plays a vital role in the queuing theory. As per Kendall’s notation in the queueing models, there are mainly A/S/c factors which denote:

  • A signifies the time gap from arrivals to the queue
  • S signifies the distribution of service time
  • c signifies the unit of service channels available at the node

The factors can also be extended to A/S/c/K/N/D where K implies the queue size, N implies the volume of the population of jobs to be rendered and discipline of queueing is denoted by D.

Queues usually contain items or customers. For example, if there are 3 billing counters at a store, queues will form if more than 3 customers wish to pay for their items at the same time. Queuing theory is a fundamental part of mathematics. So, if you have a project on this subject and looking for Queuing Theory assignment help in Australia to finish it on time and in a neat manner then BookMyEssay can be your best resource.

Queuing Theory Application in Operation Research

To make business decisions and to provide the services smoothly, queueing theory is consider as it’s a branch of operation research. This theory helps in the calculation and derivation of certain performances measurements like expected time for waiting, the average time to be taken for waiting in a queue, etc.

Usually queueing theory is widely applicable for all business sectors like healthcare, public service, telecommunication, transport sector. Techniques of queuing theory have been applied in the below situations:

  • Minimization of traffic due to traffic delay at toll booths
  • Scheduling the landing and takeoff of flights
  • Inventory analysis and inventory control

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Queuing Theory Disciplines

Various queuing disciplines represent the way the queue is organized. It can be classified in below ways:

  • First In First Out ie FIFO - orderly queue.
  • Last In First Out ie LIFO- stack.
  • Serve In Random Order ie SIRO
  • Priority Queue
  • Various complex queuing methods are there which depend upon the customer’s place in the queue considering the factor that customers have already spent time in the line.

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