Delivery Performance

Delivery performance (DP) is a broadly used standard KPI measurement in supply chains to measure the fulfillment of a customer's 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)

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 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
 * 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:

$$DP_{p,c} = \frac{\sum_{p,c}(DP)}{count_{p,c}(singular cases)}$$

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
 * 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:

$$DP_{p,c} = \frac{\sum_{p,c}(DP)}{count_{p,c}(singular cases)}$$

whereas p is determined by the first confirmed date

Result
0%≤$$DP_{T/D}^{S/V}$$≤100%