Programming for Economic Lot-Sizes with Precedences Between Items

In the manufacture of certain products such as computers, turbines, and automobiles, various components and subassemblies must be combined in a specified assembly order over a period of time. Certain items must be on hand before others can be produced, and these requirements are determined by the product structure. Management's objective is to turn out timely products in the most economic way possible, and they need to determine production quantities known as lot-sizes to achieve this objective. For these types of products, a multi-item lot-size determination is necessary.