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Criticality Analysis in Activity-on-Node Networks with Minimal Time Lags

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  • Vicente Valls
  • Pilar Lino

Abstract

This paper is a systematic study of the critical nature of activities and relationships in AON networks with minimal time lags in the unlimited resource case, when activity splitting is not allowed. An analysis of all possible cases produces an extended and now complete classification of critical activities in six classes: normal, reverse, neutral, bicritical, increasing normal and decreasing reverse. We also present a procedure for classifying any critical task depending on the early start/finish times and on position within the critical paths. Copyright Kluwer Academic Publishers 2001

Suggested Citation

  • Vicente Valls & Pilar Lino, 2001. "Criticality Analysis in Activity-on-Node Networks with Minimal Time Lags," Annals of Operations Research, Springer, vol. 102(1), pages 17-37, February.
    • Handle: RePEc:spr:annopr:v:102:y:2001:i:1:p:17-37:10.1023/a:1010941729204
    DOI: 10.1023/A:1010941729204
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    Cited by:

    1. Yakhchali, Siamak Haji & Ghodsypour, Seyed Hassan, 2010. "Computing latest starting times of activities in interval-valued networks with minimal time lags," European Journal of Operational Research, Elsevier, vol. 200(3), pages 874-880, February.
    2. Bianco, Lucio & Caramia, Massimiliano & Giordani, Stefano, 2022. "Project scheduling with generalized precedence relations: A new method to analyze criticalities and flexibilities," European Journal of Operational Research, Elsevier, vol. 298(2), pages 451-462.
    3. Christos Ellinas & Neil Allan & Anders Johansson, 2016. "Exploring Structural Patterns Across Evolved and Designed Systems: A Network Perspective," Systems Engineering, John Wiley & Sons, vol. 19(3), pages 179-192, May.

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