What is the history of queueing theory?

What is the history of queueing theory?

Queueing theory originated in the early 20th century, primarily through the work of Agner Krarup Erlang, a Danish engineer. He developed mathematical models to analyze telephone traffic, which laid the groundwork for the field.

What are some key developments in queueing theory since Erlang?

Since Erlang, significant developments include the introduction of Markov processes in the 1950s and the application of queueing models in computer science and telecommunications, especially with the rise of the internet.

How is queueing theory applied in real life?

Queueing theory is applied in various fields, such as telecommunications for managing data traffic, in hospitals for patient flow optimization, and in manufacturing to improve production efficiency.

Can you give examples of queueing models?

Sure! Common queueing models include M/M/1 (single server), M/M/c (multiple servers), and M/G/1 (general service time), each representing different scenarios in service systems.