Expected Labor Cost and Total Cost Ratio

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eLCTCR×(g)\mathit{e}\mathit{LCTCR}\mathit{^{\times}}(g)
×{sgl,sum}\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}
Dimension:
Cost
Granularity:
Group of cases

Description

Expected ratio between the labor cost associated with all activity instances of a group of cases, and the total cost associated with all activity instances of a group of cases.

Potential use

Event log in which both labor and total cost information are recorded.

Assumptions

Minimizing the cost associated with human resources is desirable.

Desired Value:

MINIMIZE

Required attributes

actinst
case
lc
tc
type

Equations

Formula for practitioners

LC(g)TC(g)\frac{\mathit{LC}(g)}{\mathit{TC}(g)}

LC(g)\mathit{LC}(g) returns the total labor cost of case group gg.
TC(g)\mathit{TC}(g) returns the total cost of case group gg.

Formal Definition

LC×(g)TC×(g)\frac{\mathit{LC}\mathit{^{\times}}(g)}{\mathit{TC}\mathit{^{\times}}(g)}
The ×\mathit{\times} indicates that the PPI can take multiple forms, in this case, ×{sgl,sum}\mathit{\times} \in \{\mathit{sgl}, \mathit{sum}\}. If ×=sgl\mathit{\times} = \mathit{sgl}, then the function considers single events of activity instances for cost calculations, i.e., it uses LCsgl\mathit{LC}\mathit{^{sgl}} and TCsgl\mathit{TC}\mathit{^{sgl}}; if ×=sum\mathit{\times} = \mathit{sum}, then the function considers the sum of all events of activity instances for cost calculations, i.e., it uses LCsum\mathit{LC}\mathit{^{sum}} and TCsum\mathit{TC}\mathit{^{sum}}.

Tags

actinst
case
lc
tc
type

Python implementation

This indicator is implemented in the process_performance_indicators Python library.

process_performance_indicators.indicators.cost.groups.expected_labor_cost_and_total_cost_ratio