Optimal Decision-Making in a Captive Users Context
Alain Y. Kibangou, Rets’epile C. Kalaoane · IFAC-PapersOnLine · 2024
The scarcity of resources and the structuring of markets for essential resources (water, energy, transportation) lead to a category of users being considered captive. Dissatisfaction among these users can lead to social events with consequences that are difficult to predict. Inspired by compartmental models used in mathematical epidemiology, in this paper, we introduce a new model allowing to analyze dissatisfaction among captive users. The model has a single asymptotically stable equilibrium and its solution is monotone. It is then used for optimal decision-making to avoid reaching a defined critical threshold. In order to take into account the uncertainties of the model parameters, a scenario-based optimization approach is developed.