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

Description

Total elapsed time between the earliest and latest events in 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 group of cases is of relevance.

Assumptions

Minimizing lead time is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
time
type

Equations

Formula for practitioners

cgmaxendt(c)cgminstartt(c)^{\mathit{max}}_{c \in g} \mathit{endt}(c) - ^{\mathit{min}}_{c \in g} \mathit{startt}(c)

endt(c)\mathit{endt}(c) returns the end timestamp of case cc.
startt(c)\mathit{startt}(c) returns the start timestamp of case cc.
cgmax^{\mathit{max}}_{c \in g} and cgmin^{\mathit{min}}_{c \in g} indicate that the maximum end time and minimum start time are taken across all cases in the group gg.

Formal Definition

cgmaxendt(c)cgminstartt(c)^{\mathit{max}}_{c \in g} \mathit{endt}(c) - ^{\mathit{min}}_{c \in g} \mathit{startt}(c)

Tags

actinst
case
time
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.time.groups.lead_time