Maximum Group of functions defined on Loss and Gain includes the following functions:
Full Name |
Brief Name |
Short Description |
max_risk |
Maximum of Linear Loss scenarios. |
|
max_risk_g |
Maximum of -(Linear Loss ) scenarios. |
|
max_dev |
Maximum of ((Linear Loss ) - (Average over Linear Loss scenarios)) scenarios. |
|
max_dev_g |
Maximum of (-(Linear Loss ) + (Average over Linear Loss scenarios)) scenarios. |
|
max_cvar_risk |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new CVaR functions are calculated (for every Loss scenario function). Maximum CVaR is calculated by taking Maximum over M CVaR functions.
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max_cvar_risk_g |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new CVaR for Gain functions are calculated (for every -(Loss) scenario function). Maximum CVaR for Gain is calculated by taking Maximum over M CVaR for Gain functions (based on -(Loss) scenarios). |
|
max_cvar_dev |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new CVaR Deviation functions are calculated (for every Loss scenario function). Maximum CVaR Deviation is calculated by taking Maximum over M CVaR Deviation functions. |
|
max_cvar_dev_g |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new CVaR Deviation for Gain functions are calculated (for every -(Loss) scenario function). Maximum CVaR Deviation for Gain is calculated by taking Maximum over M CVaR Deviation for Gain functions (based on -(Loss) scenarios). |
|
max_var_risk |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new VaR functions are calculated (for every Loss scenario function). Maximum VaR is calculated by taking Maximum over M VaR functions. |
|
max_var_risk_g |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new VaR for Gain functions are calculated (for every -(Loss) scenario function). Maximum VaR for Gain is calculated by taking Maximum over M VaR for Gain functions. |
|
max_var_dev |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new VaR Deviation functions are calculated (for every Loss scenario function). Maximum VaR Deviation is calculated by taking Maximum over M VaR Deviation functions. |
|
max_var_dev_g |
There are M Linear Loss scenario functions (every Linear Loss scenario function is defined by a Matrix of Scenarios). M new VaR Deviation for Gain functions are calculated (for every -(Loss) scenario function). Maximum VaR Deviation for Gain is calculated by taking Maximum over M VaR Deviation for Gain functions (based on -(Loss) scenarios). |
|
max_risk(recourse(.)) |
Maximum over Recourse scenarios. Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario. |
|
max_risk_g(recourse(.)) |
Maximum over -(Recourse) scenarios. Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario. |
|
max_dev(recourse(.)) |
Maximum over (Recourse)-(Expected Recourse) scenarios. Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario. |
|
max_dev_g(recourse(.)) |
Maximum over -(Recourse)+(Expected Recourse) scenarios. Recourse scenarios are obtained by solving LP at the second stage of two-stage stochastic programming problem for every scenario. |
Remarks
1. | Functions from the Maximum group are calculated with double precision. |
2. | Any function from this group may be called by its "brief name" or by "brief name" with "optional name" |
• | The optional name of any function from this group may contain up to 128 symbols. |
• | Optional names of these functions may include only alphabetic characters, numbers, and the underscore sign, "_". |
• | Optional names of these functions are "insensitive" to the case, i.e. there is no difference between low case and upper case in these names. |