Three types of multi-item capacitated dynamic lotsizing and scheduling models are well established until now: The capacitated lotsizing problem, the discrete lotsizing and scheduling problem as well as the continuous setup lotsizing problem. An analysis of the underlying fundamental assumptions...

Lotsizing and scheduling comprises activities which have to be done repeatedly within MRP-systems. We consider the proportional (multi-item, capacitated, dynamic) lotsizing and scheduling problem which is more general than the discrete lotsizing and scheduling problem as well as the continuous...

Lotsizing and scheduling comprises activities which have to be done repeatedly within MRP-systems. First, we show via a simple example the deficiencies arising within the MRP-context by neglecting the interrelationships of multi-stage systems. Second, we propose a new model for multi-item,...

The well-known Capacitated Lot-Sizing Problem (CLSP) is based on the assumption that for each lot in a period setup costs are incurred. The setup costs of a CLSP solution can be reduced by linking the production quantities of an item which is scheduled in two adjacent periods. Therefore we...

A new model is presented for capacitated lot-sizing with sequence dependent setup costs. The model is solved heuristically with a backward oriented method; the sequence and lot-size decisions are based on a priority rule which consists of a convex combination of setup and holding costs. A...

In diesem Beitrag zeigen wir, wie die Planungsqualität in einem Unternehmen durch die Integration der Ablaufplanung in die Losgrößenplanung erheblich gesteigert wurde. Gegenstand der Untersuchung war eine Fräsmaschine mit reihenfolgeabhängigen Rüstkosten und Rüstzeiten, wobei für einige...

This paper deals with lot sizing and scheduling for a single-stage production System where setup costs and times are sequence dependent. A large bücket mixed integer programming (MIP) model is formulated which considers only efficient sequences. A tailor-made enumeration method of the...