In this paper, we develop a Lagrangean relaxation-based heuristic procedure to generate near-optimal solutions to very-large-scale capacitated lot-sizing problems (CLSP) with setup times and limited overtime. Our computational results show that large problems involving several thousand products...

In this Note we present an alternative formulation to the MRP lot sizing model of Steinberg and Napier (SN) (Steinberg, E., H. A. Napier. 1980. Optimal multi-level lot sizing for requirements planning systems. Management Sci. 26 (2) 1258--1271.). The alternative is more parsimonious and the...

Background: Material Requirements Planning (MRP) is critical in Supply Chain Management (SCM), facilitating effective inventory management and meeting production demands in the manufacturing sector. Despite the potential benefits of automating the MRP tasks to meet the demand for expedited and...

We analyze a finite horizon, single product, periodic review model in which pricing and production/inventory decisions are made simultaneously. Demands in different periods are random variables that are independent of each other and their distributions depend on the product price. Pricing and...

Many cooperative games, especially ones stemming from resource pooling in<br/>queuing or inventory systems, are based on situations in which each player is associated with a single attribute (a real number representing, say, a demand) and in which the cost to optimally serve any sum of attributes is...

This paper studies the optimization of the (<i>S</i>, <i>T</i>) inventory policy, where <i>T</i> is the replenishment interval and <i>S</i> is the order-up-to level. First, we demonstrate that the previously established joint convexity of the long-run average cost is false. Hence, the optimization is not straightforward....

The Lerner relationship linking the profit-maximizing price to marginal cost and the elasticity of demand generalizes to the price-setting newsvendor, and the result resolves the puzzle over the different effects of additive and multiplicative uncertainty on the solution. Multiplicative...