This paper presents a review of four decades of research on dynamic lot-sizing with capacity
constraints. We discuss both different modeling approaches to the optimization problems …

This paper addresses the simultaneous lot-sizing and scheduling of several products in
multi-stage flow line production systems consisting of heterogeneous parallel production …

We consider the one-warehouse multi-retailer problem where a warehouse replenishes
multiple retailers with deterministic dynamic demands over a horizon. The problem is to …

Quantitativeapproachesforsolvingproductio… problems in industry have gained growing
importance in the past years. Due to the increasinguse of AdvancedPlanningSystems, a …

We study the multi-item capacitated lot sizing problem with setup times. Based on two strong
reformulations of the problem, we present a transformed reformulation and valid inequalities …

In many productive processes, two important problems arise in the production planning: the
lot-sizing problem and the cutting stock problem. Generally, companies deal with these …

We consider the capacitated lot sizing problem with multiple items, setup time and unrelated
parallel machines. The aim of the article is to develop a Lagrangian heuristic to obtain good …

Setup operations are significant in some production environments. It is mandatory that their
production plans consider some features, as setup state conservation across periods …

Various mixed-integer programming models have been proposed for solving the capacitated
multi-level lot sizing problem with linked lot sizes. It would be of value for researchers and …

In many production processes, a key material is prepared and then transformed into different
final products. The lot sizing decisions concern not only the production of final products, but …