Expected Lead Time

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eLT(g)\mathit{e}\mathit{LT}(g)
Dimension:
Time
Granularity:
Group of cases

Description

Expected total elapsed time between the earliest and latest timestamps in a case belonging to a group of cases. Also known as cycle time.

Potential use

Event log is associated with a process in which the total elapsed time of a case is of relevance.

Assumptions

Minimizing lead time is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
time
type

Equations

Formula for practitioners

cgLT(c)C(g)\frac{\sum_{c \in g} \mathit{LT}(c)}{\mathit{C}(g)}

LT(c)\mathit{LT}(c) returns the lead time of case cc.
C(g)\mathit{C}(g) returns the total number of cases in group gg.
The numerator cgLT(c)\sum_{c \in g} \mathit{LT}(c) sums the lead times of all cases in gg.

Formal Definition

cgLT(c)C(g)\frac{\sum _{c\in g}\mathit{LT}(c)}{\mathit{C}(g)}

Tags

actinst
case
time
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.time.groups.expected_lead_time