Analysing quality with generalized kinetic methods

A mathematical structure is developed with the aim of analysing the time evolution of the quality of a composite system such as a medical service inside an hospital. The approach belongs to the so-called Generalized Kinetic Theory, and consists of a set of balanced statistical equations on the probability distribution functions of the system populations over a state variable that represents the perceived quality. Internal and external actions are taken into account by means of direct interactions and ensemble terms. The mathematical framework is developed for a general setting. As a particular case, a model is suggested with reference to the quality of a specific medical service.