What Is Queuing Theory?
Queuing theory is a branch of mathematics used to describe, analyze and predict the length of the queues and waiting time in the system. Implies the development of models for the arrival process, service process, and queue discipline of the model. These models are then quantified, and the resulting probability theory and stochastic processes are used to calculate other performance criteria including the mean number of customers the system contains, the average time that a customer spends waiting in the system and the probability of a customer to wait for service.
The underlying assumption of queuing theory is that arrivals to the system are characterized by a probability distribution, the Poisson distribution, and service times by another known distribution, the exponential distribution. These assumptions enable analysts to devise easily solvable mathematical models, which may be used to evaluate system performance.
Queuing Theory
Queuing theory is a specific division of mathematics that focuses on studying waiting lines (queues) in cases where there is an excess of demand for a service as compared to the availability of the service. It gives a way of looking at and analyzing the behaviour of systems which encounter congestion as a normal occurrence: call centres, computer networks, transportation, etc.
By observing queue length, customers’ waiting time, and server utilization, queuing models can become immensely beneficial in resource management and enhancement of systems performance.
In this article, we have covered the basics of Queueing Theory.
Table of Content
- What Is Queuing Theory?
- How Queuing Theory Works
- Who Invented Queuing Theory?
- What Are Basic Elements of Queuing Theory?
- How Do You Use Queuing Theory?
- Examples of Queuing Theory
- Applications of Queuing Theory