Loss Networks
Analysis of networks with blocking.
The lossn module implements algorithms for loss networks where arrivals can
be blocked when resources are unavailable.
Key function categories:
Erlang fixed-point:
lossn_erlangfp()
Loss network analysis functions.
This module provides functions for analyzing loss networks, where customers are blocked and lost when all servers are busy. The primary function implements the Erlang fixed-point algorithm for multi-service loss networks.
Loss networks are used to model circuit-switched networks, call centers with blocking, and other systems where customers are rejected when resources are unavailable.
- lossn_erlangfp(nu_vec, amat, c_vec)[source]
Erlang fixed-point algorithm for multi-service loss networks.
Computes blocking probabilities and performance measures for loss networks where blocked customers are lost (not queued).
- Parameters:
nu_vec – Vector of traffic intensities.
amat – Service requirement matrix.
c_vec – Vector of link capacities.
- Returns:
- (qlen, loss_prob, block_prob, niter) containing:
qlen: Mean queue lengths
loss_prob: Loss probabilities
block_prob: Blocking probabilities
niter: Number of iterations to convergence
- Return type: