Title: Work sharing as a metric and productivity indicator for administrative workflows

Authors: Charles Roberto Telles

Addresses: Secretary of State for Education and Sport of Paraná, Água Verde Avenue, 2140, Água Verde, Curitiba – PR, 80240-900, Brazil

Abstract: 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 fixed-point 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.

Keywords: public administration; mathematical modelling; nonlinear systems; public policy; emergent phenomena; stability; collective phenomena.

DOI: 10.1504/IJPSPM.2023.132238

International Journal of Public Sector Performance Management, 2023 Vol.12 No.1/2, pp.6 - 28

Received: 15 Nov 2019
Accepted: 06 Feb 2020
Published online: 14 Jul 2023 *

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