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An Algebra for the Analysis of Generalized Activity Networks

Author

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  • Salah E. Elmaghraby

    (Yale University, New Haven, Connecticut)

Abstract

This paper generalizes the approach of activity networks, exemplified by PERT and CPM, to networks in which activites and events occur probabilistically and contain logical relationships of a more complicated nature. For example, from a specific event some activities are undertaken with certainty while others probabilistically. It presents an algebra of analysis taking the decision rules or logical structure of the system as given. The approach is applicable to the analysis of practical situations such as contract bidding, flow in shops, etc.

Suggested Citation

  • Salah E. Elmaghraby, 1964. "An Algebra for the Analysis of Generalized Activity Networks," Management Science, INFORMS, vol. 10(3), pages 494-514, April.
    • Handle: RePEc:inm:ormnsc:v:10:y:1964:i:3:p:494-514
    DOI: 10.1287/mnsc.10.3.494
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    Cited by:

    1. Yang Wang & Yifeng Wang & Peng Fan, 2022. "Analysis of Micro Value Flows in the Value Chain of Eco-Innovation in Agricultural Products," Sustainability, MDPI, vol. 14(13), pages 1-19, June.
    2. Michael T. Pich & Christoph H. Loch & Arnoud De Meyer, 2002. "On Uncertainty, Ambiguity, and Complexity in Project Management," Management Science, INFORMS, vol. 48(8), pages 1008-1023, August.
    3. Kellenbrink, Carolin & Helber, Stefan, 2015. "Scheduling resource-constrained projects with a flexible project structure," European Journal of Operational Research, Elsevier, vol. 246(2), pages 379-391.
    4. Hartmann, Sönke & Briskorn, Dirk, 2010. "A survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 1-14, November.
    5. Kellenbrink, Carolin & Helber, Stefan, 2014. "Quality- and profit-oriented scheduling of flexible resource-constrained projects," Hannover Economic Papers (HEP) dp-549, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.

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