## Various Model Types

Tony Hürlimann

info@matmod.ch

November 12, 2023

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Abstract

Mathematical models can be classified into groups using various criteria: discrete,
continuous, linear, non-linear, etc. Different model types also dominate in different
research domains. Linear and non-linear optimization models prevail the realm of
operations research. Dynamical models such as differential equations, appear more
in physics and engineering. Statistical models and models treating uncertainty (p.e.
stochastic models, fuzzy models) occur in social sciences. This is not to say that
physicists do not use statistics. However, the various research domain use a slightly
different vocabulary in building their models.

Coming from the operations research, a lot of attention is given to the
classification in this research field. Several model types are formulated in
mathematical notation and in the modeling system LPL (see [10]). They are
compared with each other from various point of views. Concrete model application
examples are given for most model type.

A ZIP file of all models can be found HERE