Struct QueueingSystem 

pub struct QueueingSystem {
    pub arrival_rate: f64,
    pub service_rate: f64,
    pub num_servers: usize,
}

An M/M/c queueing model.

Fields

arrival_rate: f64

Arrival rate λ (customers per unit time).

service_rate: f64

Service rate μ per server (customers per unit time).

num_servers: usize

Number of servers c.

Implementations

impl QueueingSystem

pub fn new(lambda: f64, mu: f64, c: usize) -> Self

Create a new M/M/c queueing system.

pub fn utilization(&self) -> f64

Traffic intensity ρ = λ / (c μ).

pub fn is_stable(&self) -> bool

The system is stable when ρ < 1.

pub fn mean_queue_length_m_m_1(&self) -> Option<f64>

Mean number of customers in the M/M/1 queue: L = ρ / (1 − ρ).

Returns None if the system is unstable or has more than one server.

pub fn mean_waiting_time(&self) -> Option<f64>

Mean sojourn time W = L / λ (Little’s law), for M/M/1.

Returns None if the system is unstable or has more than one server.

Trait Implementations

impl Clone for QueueingSystem

fn clone(&self) -> QueueingSystem

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for QueueingSystem

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.