Multi-Stage Production Planning and Inventory Control

1. Front Matter

   Pages I-V

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2. Some Modelling Theoretic Remarks on Multi-Stage Production Planning

   1. Some Modelling Theoretic Remarks on Multi-Stage Production Planning

      • Ch. Schneeweiss

      Pages 1-8

3. Inventory — Production and Distribution Systems

   1. Two-Stage Production Planning in a Dynamic Environment

      • Stephen C. Graves, Harlan C. Meal, Sriram Dasu, Yuping Qui

      Pages 9-43

   2. Overview of a Stock Allocation Model for a Two-Echelon Push System Having Identical Units at the Lower Echelon

      • Henrik Jönsson, Edward A. Silver

      Pages 44-49

   3. System — Based Heuristics for Multi-Echelon Distribution Systems

      • R. Luyten

      Pages 50-91

   4. A Branch and Bound Algorithm for the Multi Item Single Level Capacitated Dynamic Lotsizing Problem

      • Ludo F. Gelders, Johan Maes, Luk N. van Wassenhove

      Pages 92-108

4. Multi-Stage Lot-Sizing

   1. Aggregating Items in Multi-Level Lot Sizing

      • Sven Axsäter, Henry L. W. Nuttle

      Pages 109-118

   2. Optimal Lot-Sizing for Dynamic Assembly Systems

      • Kaj Rosling

      Pages 119-131

   3. Planning Component Delivery Intervals in Constrained Assembly Systems

      • John A. Muckstadt

      Pages 132-149

   4. Multi-Stage Lot-Sizing for General Production Systems

      • Claus E. Heinrich, Christoph Schneeweiss

      Pages 150-181

5. Practical Applications and Hierarchical Integration Problems

   1. Practical Application of the Echelon Approach in a System with Divergent Product Structures

      • K. van Donselaar, J. Wijngaard

      Pages 182-196

   2. Hierarchical Production Planning: Tuning Aggregate Planning with Sequencing and Scheduling

      • Hartmut Stadtler

      Pages 197-226

   3. The Design of an Hierarchical Model for Production Planning and Scheduling

      • H. O. Günther

      Pages 227-260

6. Back Matter

   Pages 261-264

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This paper treats a two-echelon inventory system. The higher echelon is a single location reffered to as the depot, which places orders for supply of a single com­ modity. The lower echelon consists of several points, called the retailers, which are supplied by shipments from the depot, and at which random demands for the item occur. Stocks are reviewed and decisions are made periodically. Orders and/or shipments may each require a fixed lead time before reaching their respective desti­ nations. Section II gives a short literature review of distribution research. Section III introduces the multi-echelon distribution system together with the underlying as­ sumptions and gives a description of how this problem can be viewed as a Markovian Decision Process. Section IV discusses the concept of cost modifications in a distribution context. Section V presents the test-examples together with their optimal solutions and also gives the characteristic properties of these optimal solutions. These properties then will be used in section VI to give adapted ver­ sions of various heuristics which were used in assembly experiments previously and which will be tested against the test-examples.

• distribution
• inventory
• production planning
• production systems
• scheduling

• Division of Transportation and Material Flow Systems, University of Technology, Lulea, Sweden

  Sven Axsäter

• Lehrstuhl für Allgemeine Betriebswirtschaftslehre und Unternehmensforschung, Universität Mannheim, Mannheim, Germany

  Christoph Schneeweiss

• Faculty of Management, University of Calgary, Calgary, Canada

  Edward Silver

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