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GERT Networks and the Time-Oriented Evaluation of Projects

  • Klaus Neumann
  • Ulrich Steinhardt

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 172)

Table of contents

  1. Front Matter
    Pages N2-9
  2. Klaus Neumann, Ulrich Steinhardt
    Pages 10-10
  3. Klaus Neumann, Ulrich Steinhardt
    Pages 11-44
  4. Klaus Neumann, Ulrich Steinhardt
    Pages 45-115
  5. Klaus Neumann, Ulrich Steinhardt
    Pages 116-171
  6. Klaus Neumann, Ulrich Steinhardt
    Pages 172-203
  7. Klaus Neumann, Ulrich Steinhardt
    Pages 204-219
  8. Klaus Neumann, Ulrich Steinhardt
    Pages 220-232
  9. Klaus Neumann, Ulrich Steinhardt
    Pages 233-249
  10. Back Matter
    Pages 250-271

About this book

Introduction

Towards the end of the fifties methods for planning, scheduling,and control of proj­ ects were developed on the basis that the evolution of a project can be associated with a special weighted directed graph, called activity network. In this association, the individual activities of the project correspond to the arcs, the so-called proj­ ect events (beginning or termination of activities) correspond to the nodes, and the durations of the activities correspond to the weights of the respective arcs of the directed graph. 1) Contiguous arcs are assigned to activities which succeed one another immediately. The event corresponding to a node occurs exactly at the time at which all activities which are associated with the arcs leading into the node are terminated. After the occurrence of an event all those activities are be­ gun which correspond to the arcs emanating from the respective node. This implies especially that the evolution of the project has to be uniquely determined before­ hand, that every activity and every event are realized exactly once during the exe­ cution of the project, and that "feedback" (corresponding to cycles in the asso­ ciated network) is not permitted. Many projects, for example most R&D projects and projects in the area of production p 1 anni ng, do not sa ti sfy the foregoi ng res tri cti ons.

Keywords

Networks Netzplanung evaluation production production planning simulation

Authors and affiliations

  • Klaus Neumann
    • 1
  • Ulrich Steinhardt
    • 2
  1. 1.Institut für Wirtschaftstheorie und Operations ResearchUniversität KarlsruheKarlsruheDeutschland
  2. 2.Bonn 3Deutschland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-95363-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1979
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-09705-1
  • Online ISBN 978-3-642-95363-7
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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