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GERT Networks and the Time-Oriented Evaluation of Projects

  • Book
  • © 1979

Overview

Authors:
  1. Klaus Neumann

    1. Institut für Wirtschaftstheorie und Operations Research, Universität Karlsruhe, Karlsruhe, Deutschland

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    You can also search for this author in PubMed   Google Scholar

  2. Ulrich Steinhardt

    1. Bonn 3, Deutschland

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages N2-9
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  2. Summary of Assumptions

    • Klaus Neumann, Ulrich Steinhardt
    Pages 10-10

  3. Basic Concepts

    • Klaus Neumann, Ulrich Steinhardt
    Pages 11-44

  4. STEOR Networks

    • Klaus Neumann, Ulrich Steinhardt
    Pages 45-115

  5. GERT Networks with Basic Element Structures

    • Klaus Neumann, Ulrich Steinhardt
    Pages 116-171

  6. Evaluation of General GERT Networks

    • Klaus Neumann, Ulrich Steinhardt
    Pages 172-203

  7. Multiple Activations of Non-STEOR Nodes

    • Klaus Neumann, Ulrich Steinhardt
    Pages 204-219

  8. GERT Networks with Time-dependent Arc Weights

    • Klaus Neumann, Ulrich Steinhardt
    Pages 220-232

  9. Simulation

    • Klaus Neumann, Ulrich Steinhardt
    Pages 233-249

  10. Back Matter

    Pages 250-271
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Keywords

About this book

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.

Authors and Affiliations

  • Institut für Wirtschaftstheorie und Operations Research, Universität Karlsruhe, Karlsruhe, Deutschland

    Klaus Neumann

  • Bonn 3, Deutschland

    Ulrich Steinhardt

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