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relaxation_output.txt
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relaxation_output.txt
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Original model
==============
Cost Function
-------------
x
Constraints
-----------
x ≤ x_max
x ≥ x_min
With constraints relaxed equally
================================
Cost Function
-------------
C
Constraints
-----------
"minimum relaxation":
C ≥ 1
"relaxed constraints":
x ≤ C·x_max
x_min ≤ C·x
Optimal Cost
------------
1.414
~~~~~~~~
WARNINGS
~~~~~~~~
Relaxed Constraints
-------------------
All constraints relaxed by 42%
~~~~~~~~
Free Variables
--------------
x : 1.414
| Relax
C : 1.414
Fixed Variables
---------------
x_max : 1
x_min : 2
Variable Sensitivities
----------------------
x_max : -0.5
x_min : +0.5
Most Sensitive Constraints
--------------------------
+0.5 : x ≤ C·x_max
+0.5 : x_min ≤ C·x
With constraints relaxed individually
=====================================
Cost Function
-------------
C[:].prod()·x^0.01
Constraints
-----------
"minimum relaxation":
C[:] ≥ 1
"relaxed constraints":
x ≤ C[0]·x_max
x_min ≤ C[1]·x
Optimal Cost
------------
2
~~~~~~~~
WARNINGS
~~~~~~~~
Relaxed Constraints
-------------------
1: 100% relaxed, from x >= x_min
to x_min <= 2·x
~~~~~~~~
Free Variables
--------------
x : 1
| Relax1
C : [ 1 2 ]
Fixed Variables
---------------
x_max : 1
x_min : 2
Variable Sensitivities
----------------------
x_min : +1
x_max : -0.99
Most Sensitive Constraints
--------------------------
+1 : x_min ≤ C[1]·x
+0.99 : x ≤ C[0]·x_max
+0.01 : C[0] ≥ 1
With constants relaxed individually
===================================
Cost Function
-------------
[Relax2.x_max, Relax2.x_min].prod()·x^0.01
Constraints
-----------
Relax2
"original constraints":
x ≤ x_max
x ≥ x_min
"relaxation constraints":
"x_max":
Relax2.x_max ≥ 1
x_max ≥ Relax2.OriginalValues.x_max/Relax2.x_max
x_max ≤ Relax2.OriginalValues.x_max·Relax2.x_max
"x_min":
Relax2.x_min ≥ 1
x_min ≥ Relax2.OriginalValues.x_min/Relax2.x_min
x_min ≤ Relax2.OriginalValues.x_min·Relax2.x_min
Optimal Cost
------------
2
~~~~~~~~
WARNINGS
~~~~~~~~
Relaxed Constants
-----------------
x_min: relaxed from 2 to 1
~~~~~~~~
Model Sensitivities (sorts models in sections below)
-------------------
+1.99 : Relax2.OriginalValues
+0.00 : Relax2
Free Variables
--------------
x : 1
x_max : 1
x_min : 1
| Relax2
x_max : 1
x_min : 2
Fixed Variables
---------------
| Relax2.OriginalValues
x_max : 1
x_min : 2
Variable Sensitivities
----------------------
x_min : +1
x_max : -0.99
Most Sensitive Constraints
--------------------------
+1 : x ≥ x_min
+1 : x_min ≥ Relax2.OriginalValues.x_min/Relax2.x_min
+0.99 : x ≤ x_max
+0.99 : x_max ≤ Relax2.OriginalValues.x_max·Relax2.x_max