Download Capacity and Inventory Planning for Make-to-Order Production by Klaus Altendorfer PDF

By Klaus Altendorfer

​The publication provides assorted versions for the simultaneous optimization challenge of means funding and paintings liberate rule parameterization. the final charges are minimized both together with backorder expenditures or contemplating a provider point constraint. The to be had literature is prolonged with the combination of a disbursed buyer required lead time as well as the particular call for distribution. in addition, an endogenous construction lead time is brought. varied types for make-to-order construction platforms with one or a number of serial processing phases are built. skill 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 the sort of construction approach. For designated situations with M/M/1 and M/M/s queues specific strategies of the optimization difficulties or optimality stipulations bearing on means 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

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For the situation where L > X, the realized customer required lead time in the production system is X. The first integral of Eq. 7) integrates over all possible customer required lead time values, so this integral has to be split up into the two parts. 10) X 0 À ðk þ βÞe β ðk þ β Þ ÀβX þk Derivation see Appendix. Calculating the limit ρ ! 1 shows that the FGI lead time approaches 0 (see Appendix), which is the same case as for Eq. 7). For ρ ! e. λ ! 0) the FGI ÀðμþβÞX ÀβX ÀðμþβÞe þμ lead time leads to the following maximum value βe which is βðμþβÞ smaller than μ=ðβðμ þ βÞÞ (see Appendix) for the case without WAW policy.

Furthermore, the M/M/1 model provides an exponentially distributed production lead time and a Poisson output stream. For a multi-stage model this Poisson output stream means that several processing stages can be linked, and as long as the first input stream is Poisson and all the processing time distributions are exponential, this production system can be modeled as a series of M/M/1 queues. 2) Each order in the production system which has a production lead time being smaller than the deterministic customer required lead time has the FGI lead time À Áþ I ¼ L^ À W and 0 otherwise, so I ¼ L^ À W holds.

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)). The WAW policy leads to the situation that all the orders with a customer required lead time being greater than the WAW are transferred to an order list (or WAW buffer) when they arrive at the production system. Their release to the production system is triggered when their remaining time to due date becomes smaller than the WAW.

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