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<p>When using discrete dynamic stock models in combination with lifetime distributions, the total amount of material transported in a period is implicitly assumed to be a spike at either the start or the end of the considered period. Depending on the choice, the residence time of materials in stock is either underestimated in the inflow-at-start approach or overestimated in the inflow-at-end approach. This paper proposes to solve this assignment problem by assuming the total mass flow to be evenly distributed over the period, using a continuous dynamic stock model, and discretizing the results afterward. It will be shown that this so-called uniform-inflow approach delivers more realistic results.</p>

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On the advantage of assuming constant mass flow rates in discretized dynamic material flow models

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月16日

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  • Oliver Cencic,
  • Rudolf Frühwirth

摘要

When using discrete dynamic stock models in combination with lifetime distributions, the total amount of material transported in a period is implicitly assumed to be a spike at either the start or the end of the considered period. Depending on the choice, the residence time of materials in stock is either underestimated in the inflow-at-start approach or overestimated in the inflow-at-end approach. This paper proposes to solve this assignment problem by assuming the total mass flow to be evenly distributed over the period, using a continuous dynamic stock model, and discretizing the results afterward. It will be shown that this so-called uniform-inflow approach delivers more realistic results.