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LittlesLaw

simular::edd::operations

Struct LittlesLaw 

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pub struct LittlesLaw { /* private fields */ }
Expand description

Little’s Law: The fundamental equation relating WIP, throughput, and cycle time.

L = λW where:

  • L: Average number of items in the system (WIP)
  • λ: Average arrival rate (throughput at steady state)
  • W: Average time an item spends in the system (cycle time)

This law holds for ANY stable queueing system regardless of arrival distribution, service distribution, or queue discipline. It is one of the most fundamental results in queueing theory.

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impl LittlesLaw

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pub fn new() -> Self

Create a new Little’s Law equation.

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pub fn evaluate(&self, lambda: f64, w: f64) -> f64

Evaluate L = λW given arrival rate and wait time.

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pub fn validate( &self, l: f64, lambda: f64, w: f64, tolerance: f64, ) -> Result<(), String>

Validate that observed values satisfy Little’s Law within tolerance.

§Arguments
  • l: Observed average WIP
  • lambda: Observed throughput/arrival rate
  • w: Observed average cycle time
  • tolerance: Relative tolerance for validation
§Errors

Returns error message if |L - λW| / L >= tolerance.

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pub fn solve_l(&self, lambda: f64, w: f64) -> f64

Solve for L given λ and W.

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pub fn solve_lambda(&self, l: f64, w: f64) -> f64

Solve for λ given L and W.

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pub fn solve_w(&self, l: f64, lambda: f64) -> f64

Solve for W given L and λ.

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impl Clone for LittlesLaw

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fn clone(&self) -> LittlesLaw

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for LittlesLaw

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

Formats the value using the given formatter. Read more
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impl Default for LittlesLaw

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl GoverningEquation for LittlesLaw

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fn latex(&self) -> &str

Get the LaTeX representation of the equation.
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fn class(&self) -> EquationClass

Get the equation’s classification.
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fn citation(&self) -> Citation

Get the primary citation for this equation.
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fn variables(&self) -> Vec<EquationVariable>

Get all variables in this equation.
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fn description(&self) -> &str

Get a human-readable description.
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fn name(&self) -> &'static str

Get the equation name.
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fn validate_consistency( &self, values: &[(&str, f64)], tolerance: f64, ) -> Result<(), String>

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

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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type Output = T

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type Owned = T

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fn to_owned(&self) -> T

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fn clone_into(&self, target: &mut T)

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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

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fn vzip(self) -> V