Matrix of Scenarios defines scenarios of random variables (possible future realizations of random variables). It is a special type of PSG Matrix.

 

Syntax

 

matrix_<matrix_name>

 

Description

 

Matrix of Scenarios has the following structure:

 

Every row of the Matrix of Scenarios (except the first row) defines a scenario of the random vector with component names (name1, ...., name I)  with scenario probability (defined by optional variable scenario_probability) and scenario benchmark (defined by optional variable scenario_benchmark). Matrix of Scenarios may have an optional id column numbering scenarios.

 

Remarks

Name of matrix consist of two parts: "matrix_" and "<matrix_name>" (user specified).
Name of  matrix should not exceed 128 symbols,  it is not case sensitive, and includes only alphabetic characters, numbers, and underscore sign, “_”.
If probabilities of scenarios are equal, then the column scenario_probability may be omitted.
Probabilities of scenarios should satisfy the following condition:

 

If this condition is not satisfied, PSG optimization solver will normalize all probabilities and report warning.

If scenario_benchmark column equals zero, it can be omitted.

 

Examples of functions using Matrix of Scenarios

 

var_risk, cvar_risk, meanabs_pen

 

Example of Matrix of Scenarios

 

See also

 

PSG Matrix in MATLAB Environment