Expected Idle Time

View in library docs
eIT(g)\mathit{e}\mathit{IT}(g)
Dimension:
Time
Granularity:
Group of cases

Description

Expected sum of time periods in which no activity instance is executed during a case belonging to a group of cases.

Potential use

Event log that contains lifecycle information for activity instances in which the time the case is inactive is of interest.

Assumptions

Minimizing idle time is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
time
type

Equations

Formula for practitioners

cgIT(c)C(g)\frac{\sum_{c \in g} \mathit{IT}(c)}{\mathit{C}(g)}

gg represents the group of cases under analysis.
IT(c)\mathit{IT}(c) returns the idle time of case cc.
C(g)\mathit{C}(g) returns the case count of group of cases gg.

Formal Definition

cgIT(c)C(g)\frac{\sum _{c \in g} \mathit{IT}(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_idle_time