# Delivery Performance

Delivery Performance (DP) is a broadly used standard KPI measurement in supply chains to measure the fulfillment of a customers demand to the wish date. Following the nomenclature of the DR-DP-Matrix three main approaches to measure DR can be distinguished:

• ${\displaystyle DP_{T}^{V}}$
• ${\displaystyle DP_{D}^{S}}$
• ${\displaystyle DP_{T}^{S}}$
Type of measurement: volume (V)/singular(S)
Type of view: on time (T)/ delivery (D)

## Volume/On Time

### Formula

If (${\displaystyle (Demand_{p,c}+Backlog_{p-1,c})>0}$)

${\displaystyle DP_{T}^{V}}$ = ${\displaystyle {\frac {Delivered_{p,c}+Predelivery_{p-1,c}}{Demand_{p,c}+Backlog_{p-1,c}}}}$

Else

NULL

Demand:= customers wish c:= product identifier p:= Time period e.g. a day, a week, a month ...

The cumulation over a period and a group of product identifiers c is done as follows: ${\displaystyle DP_{p,c}={\frac {\sum _{p,c}(DP_{T}^{V})}{count_{p,c}(DP_{T}^{V}<>NULL)}}}$

whereas p is determined by demand period

## Singular/Delivery and Singular/On Time

### Singular case definition

To fit to the needs of the environment, the granularity of a singular case (${\displaystyle DP_{*}^{S}}$) has to be defined. In general a singular case is described by a n-Tuple consisting of a set of the following order and delivery details:

• order number
• customer identifier
• product identifier
• wish date of customer
• confirmed date of supplier
• ship to information
• delivery date
• delivery note number

### Formula

• ${\displaystyle DP_{D}^{S}}$
After a singular case has been delivered to the customer its DP is measured as follows:
If (wish date = arrival date) then
DPsingular case=1
else
DPsingular case=0

arrival date = delivery date + transit time

By cumulating the results of singular cases over a certain period p and, if necessary, additional criteria c (e.g. customer, product, ...) the delivery performance is calculated as follows:

${\displaystyle DP_{p,c}={\frac {\sum _{p,c}(DP)}{count_{p,c}(singularcases)}}}$

whereas p is determined by the arrival date

• ${\displaystyle DP_{T}^{S}}$
After a period has elapsed all singular cases with wish date within period are considered and their DP is measured as follows:
If (wish date = arrival date) then
DRsingular case=1
else
DRsingular case=0

arrival date = delivery date + transit time

By cumulating the results of singular cases over a certain period p and, if necessary, additional criteria c (e.g. customer, product, ...) the delivery performance is calculated as follows:

${\displaystyle DP_{p,c}={\frac {\sum _{p,c}(DP)}{count_{p,c}(singularcases)}}}$

whereas p is determined by the first confirmed date

## Result

0%≤${\displaystyle DP_{T/D}^{S/V}}$≤100%