This paper investigates a multi-item, multi-level production scheduling problem with linear costs and production and inventory constraints at one key facility. Two multi-item problems---one in which the constraint was on shipping capability and one in which there was a final stage bottleneck...

In this paper, we deal with the two-product, single-machine, static demand, infinite horizon lot scheduling problem. After a quick review of the literature, the necessary and sufficient conditions for feasibility are derived without imposing any preliminary requirements. Then, an optimal...

The impact of poor production and inventory planning can be significant in any manufacturing firm. On an aggregate level, excessive inventories can lead to poor cash flows necessitating financing to cover operational costs while stock outs can lead to customer service problems and the eventual...

The proof of a well known theorem by Crowston and Wagner in Crowston, Wagner, and Williams (Crowston, W. B., M. H. Wagner, J. F., Williams. 1973. Economic lot size determination in multi-stage assembly systems. Management Sci. 19 (5, January) 517--527.) is shown here to be defective. According...

Component lot-splitting considerations, in which the lot-size of a component item may cover only a fraction of its parent item's lot-size, have been ignored in the literature when determining lot-sizes of items in multi-stage manufacturing systems. In this paper, a multi-stage lot-sizing problem...

This paper deals with the classical dynamic lot size problem without backlogging and capacity limitation. We derive worst case performance bounds for a class of lot sizing heuristics. When the considered methods are applied a decision whether to have a set-up or not in a certain period is taken...

In this paper we present a mathematical programming model for the Kanban system in a deterministic multi-stage capacitated assembly-tree-structure production setting. We discuss solution procedures to the problem and address three special cases of practical interest.

This paper develops optimal order quantities for firms that are offered a one-time opportunity to delay payment for an order of a commodity. Such delayed payments result in a reduction of the effective purchase cost, which is a function of the return available on alternative investments, the...