Macrosystems Theory and its Applications Equilibrium Models [Paperback]

Macrosystems are systems in which the stochastic behaviour of the elements is transformed into deterministic behaviour of the system as a whole. This publication discusses equilibrium in these systems. Mathematical models of stationary states using the principle of maximum entropy are presented. This is developed and generalized for macrosystems with constrained resources. Parametric properties which characterize a model's response to data variations are discussed. The author has developed new computational methods for the computer-aided realization of stationary state models. Algorithms and computer experiments are evaluated. Mathematical modelling methods are applied to problems of hierarchical structures, interregional product exchange and image reconstruction.Macrosystems are systems in which the stochastic behaviour of the elements is transformed into deterministic behaviour of the system as a whole. This publication discusses equilibrium in these systems. Mathematical models of stationary states using the principle of maximum entropy are presented. This is developed and generalized for macrosystems with constrained resources. Parametric properties which characterize a model's response to data variations are discussed. The author has developed new computational methods for the computer-aided realization of stationary state models. Algorithms and computer experiments are evaluated. Mathematical modelling methods are applied to problems of hierarchical structures, interregional product exchange and image reconstruction.Macrosystems: Definitions and examples.- Models of stationary states for homogeneous macrosystems.- Parametric properties of MSS.- Computational methods for determining the stationary states of homogeneous macrosystems.- Probabilistic hierarchical structures.- Modelling and analysis of interregional exchange of construction materials.- Image reconstruction.Springer Book Archives