Abstract In order to strengthen competitiveness, the pool of available network sites in supply chains of processing industries with 24/7 operations should be adjusted permanently. However, an integration of additional sites is to be assessed thoroughly by the network managers as an exact coordination with existing partners must be ensured within multi-day planning horizons. On the one hand, continuous-time scheduling of network-wide operations exclusively allows for using time-based assessment criteria such as the minimum production time to be provided by the integrated sites. On the other hand, the assessment needs to be based on the calculation of network-wide liquidity, which must not fall below its previous value after the realization of an integration. A realistic consideration of financial planning needs to include both credits and financial investments not being based on given interest rates, but on cash flow series characterized by arbitrary compositions of payments and repayments occurring after any intervals of time periods. Thus, it is to be implemented by discrete-time modeling. As a result of merging both methods of assigning decisions to appropriate points on the time axis, a semi-continuous mixed-integer linear model is developed in the paper on hand. By interrelating three different shapes of this model, the minimum and maximum scope of an integration can be determined. The approach is validated for an illustrative example of a three-stage supply chain network, which is extended by two or three additional production sites. The computability of the problem on a high-performance cluster is evaluated in a scenario analysis including 50 test instances with randomly generated data.

中文翻译：

---

评估站点整合到供应链网络的半连续生产，分配和流动性计划中

摘要为了增强竞争力，应永久性调整24/7全天候运行的加工业供应链中的可用网络库。但是，网络管理员必须全面评估其他站点的集成，因为必须确保在多天的计划范围内与现有合作伙伴进行准确协调。一方面，网络范围内的操作的连续时间调度专门允许使用基于时间的评估标准，例如由集成站点提供的最小生产时间。另一方面，评估需要基于网络范围内流动性的计算，在实现整合后，流动性不得低于其先前的值。财务计划的实际考虑需要包括信贷和金融投资，这既不是基于给定的利率，而是基于现金流序列，其特征是在任意时间间隔之后发生的任意付款和还款构成。因此，将通过离散时间建模来实现。由于将两种将决策分配给时间轴上适当点的方法进行了合并，因此在本文中开发了一个半连续的混合整数线性模型。通过相互关联此模型的三种不同形状，可以确定积分的最小和最大范围。该方法已针对三级供应链网络的说明性示例进行了验证，该网络由两个或三个其他生产站点扩展。