A program for determining the blocking factor in systems with loss of messages described by the Erlang model.
Erlang model - stochnistic model used for traffic analysis in queuing systems. The model allows you to estimate the probability (or factor) of a lock, a situation where the client can not be served at the given parameters of the model.
The program uses a recursive formula to calculate the lock factor:
Where:
- P(A,N) - probability of blockage
- A - is a number representing the average traffic value (in Erlang).
- N - is the number of channels.
- Independent generation of requests by sources (subscribers do not decide that they will call together at a fixed time),
- Request handling time (e.g. phone call) is exponential,
- The service is FIFO (first in first out) – requests are handled in the order they arrive.
Literature:
- [EN] Wikipedia.org, Erlang(unit): Erlang B formula, from 23.09.2021. https://en.wikipedia.org/wiki/Erlang_(unit)#Erlang_B_formula
- [PL] Wikipedia.org, Model Erlanga: Model Erlang B, from 07.07.2018. https://pl.wikipedia.org/wiki/Model_Erlanga