Capacity and Inventory Planning for Make-to-Order Production by Klaus Altendorfer
By Klaus Altendorfer
The e-book offers diverse types for the simultaneous optimization challenge of ability funding and paintings liberate rule parameterization. the general charges are minimized both together with backorder expenses or contemplating a provider point constraint. The to be had literature is prolonged with the mixing of a disbursed consumer required lead time as well as the particular call for distribution. in addition, an endogenous construction lead time is brought. diversified types for make-to-order creation platforms with one or a number of serial processing levels are built. capability funding is associated with the processing charges of the machines or to the variety of the machines. effects are equations for carrier point, tardiness, and FGI lead time in one of these construction procedure. For specific instances with M/M/1 and M/M/s queues specific strategies of the optimization difficulties or optimality stipulations referring to skill funding and paintings unlock rule parameterization are provided.
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Additional info for Capacity and Inventory Planning for Make-to-Order Production Systems: The Impact of a Customer Required Lead Time 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. 3 illustrates that the lower the variation of processing time and interarrival time, the better the results for service level, expected FGI, expected FGI lead time, and expected tardiness will be.
Nevertheless, the balance between service level and FGI or utilization and FGI can be discussed. Based on Eq. 12) Calculating the limit ρ ! 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.
3 Numerical Study In this section, firstly a comparison between three examples shows the typical characteristic of the relationships between utilization, expected WIP, expected FGI, expected FGI lead time, expected tardiness, and service level. The advantage of implementing a WAW is discussed in this section based on the calculated curves and some general insights from the shape of the curves are given. The second part of this section presents the result of an extensive experiment set to evaluate the FGI reduction potential based on the implementation of a WAW work release policy.