By Klaus Altendorfer
The booklet provides various types for the simultaneous optimization challenge of capability funding and paintings unencumber rule parameterization. the general charges are minimized both together with backorder bills or contemplating a carrier point constraint. The on hand literature is prolonged with the mixing of a disbursed purchaser required lead time as well as the particular call for distribution. additionally, an endogenous creation lead time is brought. various versions for make-to-order construction structures with one or a number of serial processing phases are built. capability funding is associated with the processing premiums of the machines or to the variety of the machines. effects are equations for carrier point, tardiness, and FGI lead time in this sort of construction method. For distinctive circumstances with M/M/1 and M/M/s queues specific strategies of the optimization difficulties or optimality stipulations relating capability funding and paintings unencumber rule parameterization are provided.
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Additional resources for Capacity and Inventory Planning for Make-to-Order Production Systems: The Impact of a Customer Required Lead Time Distribution
Chen and Yao (2001) argue that the production lead time in a G/G/1 queue can be approximated with an exponential distribution. Applying this approximation from Chen and Yao (2001), the mean of the production lead time increases whenever the coefficient of variation of the interarrival time distribution or the processing time distribution increases. 3, this shows that the results for service level, expected FGI, expected FGI lead time, and expected tardiness depend, for a more general system, on the second moment of the processing and interarrival time distribution.
1 and ρ ! e. λ ! 0) for Eq. 12) delivers the expected FGI value of 0. This means in both extreme cases for the utilization there is no FGI in pieces available. The comparison to the limit ρ ! 0 of the FGI lead time shows, that even with the maximum expected FGI lead time at utilization 0 there is no expected FGI in pieces available. The reason for that is that at utilization zero, the input rate has to be zero and for that reason no products are produced. 13) Derivation see Appendix. 13) can only be solved numerically.
1 shows the parameter set for the numerical example. In the numerical example the production rate μ is held constant and the input rate λ is varied to find different points of the curves. All resulting figures in this section are shown with the expected WIP on the x-Axis. This is the same format as used in Wiendahl and Breithaupt (1999); Wiendahl et al. (2005); Jodlbauer (2008a) or also partly in Hopp and Spearman (2008). 3 shows the relationships between logistical key figures for the three examples.
Capacity and Inventory Planning for Make-to-Order Production Systems: The Impact of a Customer Required Lead Time Distribution by Klaus Altendorfer