78 Views · 47 Downloads · ★★★★★ 5.0

Work sharing as a metric and productivity indicator for administrative workflows

PUBLISHED March 21, 2023 (DOI: https://doi.org/10.54985/peeref.2303p1738236)



Charles Roberto Telles1
  1. Secretary of State for Education of Paraná

Conference / event

Entropy: The Scientific Tool of the 21st Century, May 2021 (Virtual)

Poster summary

Defining administrative workflow events as a nonlinear dynamics that assume a random ordered or disordered growth rate of information processing, a method has been proposed for identifying productivity at large-scale administrative work systems. Defining those systems as a hybrid structure (continuous or discrete variables), the iterated and attracting fixedpoint events that constitute the administrative work activities can present asymptotic convergence for all possible metric space solutions. The system modelling from the Lyapunov exponential stability point of view allows the projection of system performance to be oriented, based on collective behaviour phenomena, that is, in other words, the relationship between the number of agents (human resources) and the number of administrative works (workloads) within an administrative workflow hybrid environment. This method can roughly and steadily reveal the definition of productivity and asymptotic stability as a state of endosectorial (among internal sector agents) and exosectorial (among external sector agents) work sharing effect.


Public administration, Mathematical modelling, Emergent phenomena, Stability, Nonlinear systems, Statistical physics

Research areas

Statistics, Public Policy and International Affairs, Mathematics


  1. Aldieri L. & Vinci C. P. (2018). Innovation effects on employment in high-tech and low-tech industries: evidence from large international firms within the triad. Eurasian Business Review, 8, 229-243.
  2. Brynjolfsson, E., & McAfee, A. (2014). The second machine age: Work, progress, and prosperity in a time of brilliant technologies. New York: W. W. Norton
  3. Matyas, L., Blundell, R., Cantillon, E., Chizzolini, B., Ivaldi, M., Leininger, W. Steen, F. (Eds.). (2017). Economics without Borders: Economic Research for European Policy Challenges. Cambridge: Cambridge University Press. doi:10.1017/9781316636404
  4. Telles, Charles Roberto. "A Mathematical Modelling for Workflows." Journal of Mathematics 2019 (2019)
  5. Bennati, Stefano. "On the role of collective sensing and evolution in group formation." Swarm Intelligence 12, no. 4 (2018): 267-282.
  6. Gabčanová, Iveta. "Human resources key performance indicators." Journal of competitiveness (2012).
  7. Demo, Gisela, Elaine Rabelo Neiva, Iara Nunes, and Kesia Rozzett. "Human resources management policies and practices scale (HRMPPS): Exploratory and confirmatory factor analysis." BAR-Brazilian Administration Review 9, no. 4 (2012): 395-420.
  8. Kiel, L. Douglas. "The evolution of nonlinear dynamics in political science and public administration: Methods, modeling and momentum." Discrete Dynamics in nature and society 5, no. 4 (2000): 265-279.
  9. Dooley KJ. A complex adaptive systems model of organization change. Nonlinear dynamics, psychology, and life sciences. 1997 Jan 1;1(1):69-97.
  10. Ulrich, Dave. "Measuring human resources: an overview of practice and a prescription for results." Human Resource Management: Published in Cooperation with the School of Business Administration, The University of Michigan and in alliance with the Society of Human Resources Management 36, no. 3 (1997): 303-320.


No data provided

Supplemental files

  1. Manuscript DOI: 10.1504/IJPSPM.2022.10035734   Download

Additional information

Competing interests
No competing interests were disclosed.
Data availability statement
The datasets generated during and / or analyzed during the current study are available from the corresponding author on reasonable request.
Creative Commons license
Copyright © 2023 Roberto Telles. This is an open access work distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Roberto Telles, C. Work sharing as a metric and productivity indicator for administrative workflows [not peer reviewed]. Peeref 2023 (poster).
Copy citation

Discover Peeref hubs

Discuss science. Find collaborators. Network.

Join a conversation

Find the ideal target journal for your manuscript

Explore over 38,000 international journals covering a vast array of academic fields.