Struct SquareRootLaw 

pub struct SquareRootLaw { /* private fields */ }

The Square Root Law for safety stock scaling.

Safety stock scales with the square root of demand, not linearly: I_safety = z × σ_D × √L

where:

• z: Service level z-score (e.g., 1.96 for 95% service)
• σ_D: Standard deviation of demand per period
• L: Lead time in periods

This means pooling inventory reduces total safety stock requirements.

Implementations

impl SquareRootLaw

pub fn new() -> Self

Create a new Square Root Law equation.

pub fn safety_stock(&self, demand_std: f64, lead_time: f64, z_score: f64) -> f64

Calculate required safety stock.

Arguments

• demand_std: Standard deviation of demand per period (σ_D)
• lead_time: Lead time in periods (L)
• z_score: Service level z-score (z)

Returns

Required safety stock units.

pub fn pooling_reduction(&self, num_locations: usize) -> f64

Calculate safety stock reduction from pooling.

When combining n locations with equal demand variance, the total safety stock is reduced by a factor of √n.

pub fn z_score_for_service_level(service_level: f64) -> f64

Common z-scores for service levels.

Trait Implementations

impl Clone for SquareRootLaw

fn clone(&self) -> SquareRootLaw

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SquareRootLaw

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

Formats the value using the given formatter.

impl Default for SquareRootLaw

fn default() -> Self

Returns the “default value” for a type.

impl GoverningEquation for SquareRootLaw

fn latex(&self) -> &str

Get the LaTeX representation of the equation.

fn class(&self) -> EquationClass

Get the equation’s classification.

fn citation(&self) -> Citation

Get the primary citation for this equation.

fn variables(&self) -> Vec<EquationVariable>

Get all variables in this equation.

fn description(&self) -> &str

Get a human-readable description.

fn name(&self) -> &'static str

Get the equation name.

fn validate_consistency( &self, values: &[(&str, f64)], tolerance: f64, ) -> Result<(), String>

Validate that a set of values satisfies the equation within tolerance.