| Tartalom: |
https://acta.sze.hu/index.php/acta/article/view/80 |
| Archívum: |
Acta Technica Jaurinensis |
| Gyűjtemény: |
Transportation Science, Logistics and Agricultural Engineering
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| Cím: |
An Approximate Analytic Solution of the Inventory Balance Delay Differential Equation
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| Létrehozó: |
Csík, Á. Gy. T.
Horváth, T. L.
Földesi, P.
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| Kiadó: |
CrossRef
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| Dátum: |
2010-12-01
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| Tartalmi leírás: |
In this paper we present an analytic investigation of the continuous time representation of the inventory balance equation supplemented by an order-up-to replenishment policy. The adopted model parameters describe the startup of a distribution facility facing a constant demand. The exact solution is approximated by a complex exponential function containing integration constants that are dependent on the principal mode of the LambertWfunction. We give a detailed review of the solution strategy emphasising some underexposed components, and provide a fair discussion of its limitations. In particular we give a detailed study on the matching of the exact and the approximate analytic solution. We also derive and analyse damped non-oscillatory solutions that have been neglected in the literature. Although the model is prone to the well known permanent inventory deficit, it serves as a solid foundation for future improvements
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| Nyelv: |
angol
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| Típus: |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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| Azonosító: |
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| Forrás: |
Acta Technica Jaurinensis; Vol 3 No 3 (2010); pp. 231-256
2064-5228
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| Kapcsolat: |
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