QueueingNetworkProcess

QueueingNetworkProcess[γ, r, μ, c] represents an open (Jackson) queueing network process with arrival vector γ, routing probability matrix r, service vector μ, and service channel vector c.

• QueueingNetworkProcess[γ, r, μ, c, k] represents a closed (Gordon–Newell) queueing network process with k jobs in the system.

Examples

Open queueing network:

QueueingNetworkProcess[{0.5, 0.3}, {{0, 0.5}, {0.5, 0}}, {1, 1}, {1, 1}]

Mean queue lengths:

qnp = QueueingNetworkProcess[{1}, {{0}}, {2}, {1}];
Mean[qnp]

Closed queueing network with 5 jobs:

QueueingNetworkProcess[{0, 0}, {{0, 1}, {1, 0}}, {2, 3}, {1, 1}, 5]

Please visit the official Wolfram Language Reference for more details.