General Discussions

M/M/1 Queue

Queueing theory provides a mathematical basis for understanding and predicting the behavior of communication networks.

Basic Model:

queue-server

We can understand above model with below mentioned parameters:

  • Inter-arrival time distribution
  • Service time distribution
  • Number of servers
  • Queueing disciplines
  • Number of buffers

Common Notion:

A/B/m

Where: ‘m’ is the number of servers
A and B can be from
M: Markov (exponential distribution / Poisson)
D: deterministic
G: General (arbitrary distribution)

M/M/1 stands for:

  • Inter-arrival times are Poisson distributed (exponentially)
  • Service times are exponentially distributed
  • There is only one server
  • The buffer is assumed to be infinite
  • Queueing discipline is FCFS

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