Why use modeling?
Why and when is modeling necessary in scientific research?
Modeling is used to obtain system characteristics when there is no formula, or the formula takes too long to compute.
In general, modeling can be physical (for example, mechanical construction modeling) or mathematical.
Here we talk about mathematical modeling.
Mathematical modeling that uses simulation to describe the behavior of the system under study is called
simulation modeling.
One of the most widely used simulation modeling approaches is
discrete-event simulation.
It is used across natural sciences, engineering, social sciences — from NASA to small business warehouses, and from call centers to fast-food restaurants.
Discrete-event simulation is widely implemented as computer simulation software.
Statistical experiments
Discrete-event simulation belongs to the class of statistical approaches to computer simulation.
During a simulation run, a series of statistical experiments take place inside the model.
The number of these experiments is not large for a simple system, but this number increases significantly for large, complex systems.
Since every such experiment takes some modeling time, a larger number of them results in longer modeling time.
One simulation run gives only one value for the system's characteristic.
This is not enough to describe a function.
Even two values can only describe a linear function.
Since most functions are non-linear and often complex, a small number of values usually gives an inaccurate picture.
Only a sufficiently large enough number of values can describe the function accurately.
In practice, many values are required for a smooth and
reliable characteristic.