By Klaus Altendorfer
The ebook offers varied types for the simultaneous optimization challenge of ability funding and paintings unencumber rule parameterization. the final bills are minimized both together with backorder charges or contemplating a provider point constraint. The on hand literature is prolonged with the combination of a disbursed shopper required lead time as well as the particular call for distribution. in addition, an endogenous construction lead time is brought. diversified versions for make-to-order construction structures with one or a number of serial processing levels are constructed. ability funding is associated with the processing premiums of the machines or to the variety of the machines. effects are equations for provider point, tardiness, and FGI lead time in any such creation approach. For targeted situations with M/M/1 and M/M/s queues particular recommendations of the optimization difficulties or optimality stipulations pertaining to potential funding and paintings liberate rule parameterization are provided.
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Extra info for Capacity and Inventory Planning for Make-to-Order Production Systems: The Impact of a Customer Required Lead Time Distribution
1007/978-3-319-00843-1_4, © Springer International Publishing Switzerland 2014 43 44 4 Simultaneous Capacity and Planned Lead Time Optimization Customer required lead time = L Buffer 2 Proces sing step 2 Tardiness C = max(0, W–L) Customer Buffer 1 WIP 2 = Y 2 Proces sing step 1 Buffer FGI = G WIP 1 = Y 1 Production lead time = W 2 Production lead time = W1 FGI lead time I = max(0, L–W ) Waiting time until release to stage 1 = max(0, X 2 –W 2) Fig. 1 The General Optimization Model Assumptions and Notation A two-stage production system as shown in Fig.
C is the random tardiness which is the time between due date and delivery date whenever an order is late. Y and G are the random WIP and FGI respectively. η denotes the service level, which is the probability that an order is delivered on time. 2 Model Development 21 Customer required lead time = L Service level h = P(W <= L) Customer Buffer Tardiness C = max (0, W–L) Buffer Machine FGI = G WIP = Y Production lead time = W FGI lead time I = max (0, L–W ) Fig. e. to the buffer in front of the machine, whenever their remaining time to the due date is smaller or equal to the WAW X (see also Jodlbauer (2008b) or Hopp and Spearman (2008)).
For ρ ! e. λ ! 0 ) a minimum tardiness level can be calculated μe μðμþβÞþβ which is higher than in the case without WAW. 4) still holds for the calculation of the FGI in the case of distributed customer required lead time values and the application of a WAW policy. 2. Whenever the WAW policy is applied to a production system, the expected FGI lead time and the service level with the WAW policy are lower than without the WAW policy and the expected tardiness with the WAW policy is higher than without the WAW policy if the pdf of production lead time is not affected by the WAW policy.
Capacity and Inventory Planning for Make-to-Order Production Systems: The Impact of a Customer Required Lead Time Distribution by Klaus Altendorfer