Expected Waiting Time

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eWT(g)\mathit{e}\mathit{WT}(g)
Dimension:
Time
Granularity:
Group of cases

Description

Expected sum of elapsed time between the start event of an activity instance and the complete event of the activity instance that precedes it, for all activity instances in a case belonging to a group of cases.

Potential use

Event log in which the time spent between every activity instance is of relevance.

Assumptions

Minimizing waiting time is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
time
type

Equations

Formula for practitioners

cgWT(c)C(g)\frac{\sum _{c \in g} \mathit{WT}(c)}{\mathit{C}(g)}

WT(c)\mathit{WT}(c) returns the total waiting time of case cc.
C(g)\mathit{C}(g) returns the number of cases in group gg.

Formal Definition

cgWT(c)C(g)\frac{\sum _{c \in g} \mathit{WT}(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_waiting_time