Delivery Performance
# 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 DP can be distinguished:

* $DP_{T}^{V}$
* $DP_{D}^{S}$
* $DP_{T}^{S}$

    Type of measurement: volume (V)/singular(S)
    Type of view: on time (T)/ delivery (D)

## Volume/on time

### Formula

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

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

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: $DP_{p,c}={\frac {\sum _{p,c}(DP_{T}^{V})}{count_{p,c}(DP_{T}^{V}<>NULL)}}$

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 ($DP_{*}^{S}$) 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

* $DP_{D}^{S}$

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

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:

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

whereas p is determined by the arrival date

* $DP_{T}^{S}$

    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
          $DR_{singularcase}=1$
       else
          $DR_{singularcase}=0$

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:

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

whereas p is determined by the first confirmed date

## Result

0%≤$DP_{T/D}^{S/V}$≤100%

