What branch of mathematics deals with task scheduling and queuing?

Question

Mathematics

What branch of mathematics considers systems where it is required to organize queues on resources?
For example, I have a cluster of 100 machines, and how to formalize the load distribution on it? t

Answer 1

Queuing theory , or queues (English queuing theory), is a section of probability theory, the purpose of which is the rational choice of the structure of the queuing system and the service process based on the study of the flow of service requirements entering and exiting the system, waiting time and length queues.

Answer 2

statistics, math analysis

Answer 3

Discrete, graphs and weights.