title: Delivery Performance
text: # 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%
  
  