Work sharing as a metric and productivity indicator for administrative workflows

TL;DR

This paper introduces a novel method for analyzing administrative workflows by modeling them as nonlinear dynamic systems, using Lyapunov stability to relate agent numbers to service performance.

Contribution

It proposes a new approach to quantify administrative productivity through system dynamics and stability analysis, bridging information processing and workflow efficiency.

Findings

Workflow events modeled as nonlinear dynamics

Lyapunov stability used to project system performance

Relationship established between agents and services

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 large-scale administrative systems that structures hybrid system variables (continuous or discrete) as iterated and attracted to a fixed-point event at which for all possible metric spaces solutions, the modeling of variables from Lyapunov exponential stability point of view allows the projection of system performance to be oriented, that is, the relationship between the number of agents and the number of administrative services within an administrative workflow environment.