Monifluaatiomalli

Monifluaatiomalli is a theoretical framework in systems science and applied mathematics for analyzing complex dynamic phenomena with concurrent changes in multiple variables, or fluents. The term, found in Finnish-language literature, denotes a modeling approach that combines continuous evolution with discrete events and explicit alternative states.

In this approach, a system is described by fluents with defined domains and state functions. Time may be treated discretely or continuously, and transitions are driven by rules or controllers responding to inputs and stochastic effects. The model blends differential equations, automata theory, and constraint-based optimization.

Formally, the structure includes a state space S, a fluent set F, a set of actions A, and a transition relation Δ ⊆ S×A×S. Observables O provide measurable outputs, and update rules govern fluent evolution.

Applications include urban dynamics, supply chains, ecological systems, and policy analysis. Practitioners simulate scenarios, compare strategies, and perform sensitivity analyses; the framework supports hybrid models where continuous variables interact with discrete decisions.

Development and reception vary by discipline. The concept has appeared in Nordic and broader European literature as a flexible, modular modeling paradigm, with variants differing in notation, level of abstraction, and emphasis on optimization, simulation, or verification.

Limitations include computational complexity, data requirements for accurate fluents, and validation challenges. Users typically rely on simulations and scenario-based experiments to derive insights.

Related topics include fluent logic, hybrid systems, stochastic process models, and discrete-event simulation, all sharing an interest in representing time-evolving systems with both continuous and discrete influences.