The literature on master production scheduling for product mix problems under the Theory of Constraints (TOC) was considered by many previous studies. Most studies assume a static resources availability. In this study, the raw materials supplied to the manufacturer is considered as dynamic depending on the results of the problem. Thus, an integer linear heuristic, an integer non-linear optimization model, and a basic non-linear model are developed to find a good solution of the problem. The results of the three models were compared to each other in terms of profit, raw materials costs, inventory costs and raw materials utilization. Recent studies in the field are reviewed and conclusions are drawn.

翻译：关于约束理论（TOC）下产品组合问题的主生产排程文献，已有诸多先前研究。多数研究假设资源可用性为静态。本研究将供应给制造商的原材料视为动态，取决于问题求解结果。为此，开发了整数线性启发式模型、整数非线性优化模型以及基本非线性模型，以寻求问题的优质解。从利润、原材料成本、库存成本及原材料利用率等方面，对三种模型的结果进行了比较。本文还回顾了该领域的最新研究，并得出了相关结论。