Biomimetic modelling in teaching the discipline “Economics of labour and social labour relations”

Анотація

The article proposes an integrated biomimetic framework for teaching and applied modelling in the discipline of “Labour Economics and Social and Labour Relations”. At its core is a combination of three ideas: stigmergic coordination as a mechanism of indirect interaction through “traces” in a shared environment (substitution market, change boards, access rules), swarm optimisation (Ant Colony Optimisation, ACO) as the dynamics of reinforcing “successful” employee assignments – change by analogy with pheromone routes and Physarum networks as a model of the evolution of a reference network of assignments, in which the conductivity of useful connections “thickens” and ineffective channels “dry up” thanks to simple rules of reinforcement and evaporation. The framework is designed specifically for educational and management situations where it is necessary to balance operational quality (full coverage of changes, compliance with standards, minimization of the “price” of the schedule) with people-centred guidelines (fair distribution of time, consideration of preferences, ergonomics of working time and predictability), recommended by international guidelines. It provides teachers with a visual tool to demonstrate how local rules (penalties, weights, restrictions) create macro-level equilibrium, and managers with a transparent methodology for constructing fair and resilient schedules that are acceptable to social partners. Theoretically, the article draws on contemporary trends in biomimetics in management and production systems, where self-organization, adaptation and resource allocation occur not according to command logic, but through local signals and minimal rules. Translated into the language of labour economics, this logic allows us to view the labour market and internal organizational schedules as networks that evolve in response to shortages/surpluses, preferences and regulatory constraints. The paper adopts a consistent, unified formulation of the problem in the form of a two-part graph "employees ↔ shifts", where each potential assignment corresponds to a cost function c(e) – a weighted sum of “hard” and "soft" components (night and holiday intervals, skill matching, preferences, overtime and fairness regulator (penalty for deviation of individual hours from the target range)). This formulation, firstly, makes the purpose of the model transparent to the audience and, secondly, allows the formation of a Pareto curve "quality ↔ fairness" and the selection of solutions acceptable to the parties to the social dialogue.

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