By Klaus Altendorfer
ISBN-10: 3319008420
ISBN-13: 9783319008424
ISBN-10: 3319008439
ISBN-13: 9783319008431
The e-book offers assorted versions for the simultaneous optimization challenge of means funding and paintings liberate rule parameterization. the final bills are minimized both together with backorder expenses or contemplating a carrier point constraint. The on hand literature is prolonged with the combination of a dispensed buyer required lead time as well as the particular call for distribution. moreover, an endogenous creation lead time is brought. diversified types for make-to-order construction 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 approach. For distinctive instances with M/M/1 and M/M/s queues particular ideas of the optimization difficulties or optimality stipulations relating capability funding and paintings liberate rule parameterization are provided.
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Extra resources for Capacity and Inventory Planning for Make-to-Order Production Systems: The Impact of a Customer Required Lead Time Distribution
Example text
The expected tardiness can be stated analogous to the expected FGI lead time, so the first integral of Eq. 8) also has to be split up into two parts and then added to the expected tardiness. 11) eÀkX ÀðβθÞ keÀðkþβÞX þ β βe dθ ¼ k ðk þ β Þ k Calculating the limit ρ ! 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 means that the service level target cannot be reached for any λ value concerning the respective combination of ρ and β). 4 Concluding Remarks 33 only correlations can be stated. Note that whenever the service level constraint can be met, there is also an FGI reduction potential. On average, the numerical study shows that higher service level targets correlate with a higher FGI reduction potential and lower utilization values correlate with a higher FGI reduction potential. 2 shows that the application of such a WAW leads to a considerable FGI reduction.
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. The expected tardiness can be stated analogous to the expected FGI lead time, so the first integral of Eq. 8) also has to be split up into two parts and then added to the expected tardiness.