********************************************************************************
*                                                                              *
*                           DMO OPTIMIZATION SOLVER                            *
*                                                                              *
*    O P T I M I Z A T I O N   P R O B L E M   S O L U T I O N   R E P O R T   *
*                                                                              *
*                    Copyright (c)   Aspen Technology, Inc.                    *
*                                                                              *
********************************************************************************
                                                                                
                                                                                
               Model or plant name                          DMOXXX              
               Solution case                              OPTIMIZE              
               Number of variables                              13              
               Number of equality constraints                    8              
               Number of fixed variables                         0              
               Actual degrees of freedom                         5              
               Number of lower bounded variables                13              
               Number of upper bounded variables                13              
               Total number of constraints                      34              
               Maximum number of iterations                    200              
               Printing frequency                               -1              
               Objective function tolerance                1.0D-04              
               Residual convergence tolerance              1.0D-06              
               Derivative perturbation size                1.0D-06              
               Solution mode                              ADVANCED              
               Maximum number of models                       6500              
               Maximum number of soft bounds                  1500              
               Time of run                                15:40:18              
               Date of run                             14-FEB-2018              
                                                                                
                                                                                
                                                                                
                                                                                
                               Inactive Models                                  
                               ===============                                  
                                                                                
          All models are active.                                                
                                                                                
                                                                                
                                                                                
                               +----------------+                               
                               | Iteration    0 |                               
                               +----------------+                               
                                                                                
                                                                                
Objective Function                       =>    21.17                            
                                                                                
                                                                                
                                                                                
                                                                                
                                                                      Shadow    
 Index   Most Violated UNSCALED Residuals            Residual         Price     
====== =======================================    ============    ============= 
     5 ACM_Constraint_5                             5.45866D-02    -4.46724D-02 
     8 ACM_Constraint_8                             3.40576D-02    -1.89000D-02 
     6 ACM_Constraint_6                             1.94134D-02    -2.93276D-02 
     1 ACM_Constraint_1                             1.70751D-04    -1.67452D-04 
     3 ACM_Constraint_3                             1.67263D-04    -1.99432D-04 
     4 ACM_Constraint_4                             3.27371D-05    -5.67912D-07 
     2 ACM_Constraint_2                             2.92486D-05    -3.25485D-05 
                                                                                
                                                                                
                                                                      Shadow    
 Index   Most Violated SCALED   Residuals            Residual         Price     
====== =======================================    ============    ============= 
     5 ACM_Constraint_5                             5.45866D-02    -4.46724D-02 
     8 ACM_Constraint_8                             3.40576D-02    -1.89000D-02 
     6 ACM_Constraint_6                             1.94134D-02    -2.93276D-02 
     3 ACM_Constraint_3                             1.67263D-04    -1.99432D-04 
     1 ACM_Constraint_1                             1.70751D-04    -1.67452D-04 
     2 ACM_Constraint_2                             2.92486D-05    -3.25485D-05 
     4 ACM_Constraint_4                             3.27371D-05    -5.67912D-07 
                                                                                
                                                                                
 Iteration status                        =>       Normal                        
 Degrees of freedom                      =>            5                        
 Constrained variables                   =>            0                        
 Current degrees of freedom              =>            5                        
 Number of function evaluations          =>            0                        
 Number of Jacobian evaluations          =>            1                        
 Objective function convergence function =>  1.46132D-04                        
 Residual  function convergence function =>  1.15192D-04                        
 LU decomposition time (seconds)         =>     0.00D+00                        
 Search direction time (seconds)         =>     0.00D+00                        
                                                                                
                                                                                
Non-Linearity Report for Iteration   0 : Step Fraction =  1.00000D+00           
                                                                                
Index   Worst Equation Non-Linearity Ratios           Ratio         Deviation   
===== ========================================    ============    ============  
     6 ACM_Constraint_6                            -2.88518D+00     3.88518D+00 
     5 ACM_Constraint_5                             2.38175D+00     1.38175D+00 
     4 ACM_Constraint_4                             1.47677D-02     9.85232D-01 
     3 ACM_Constraint_3                             1.19283D+00     1.92832D-01 
     2 ACM_Constraint_2                             1.10337D+00     1.03369D-01 
                                                                                
                                                                                
                                                                                
                                                                                
                                                                                
                               +----------------+                               
                               | Iteration    1 |                               
                               +----------------+                               
                                                                                
                                                                                
Objective Function                       =>    21.17                            
Merit Function                           =>    21.17                            
                                                                                
                                                                                
                                                                                
                                                                                
                                                                      Shadow    
 Index   Most Violated UNSCALED Residuals            Residual         Price     
====== =======================================    ============    ============= 
     5 ACM_Constraint_5                            -7.54248D-02     7.40790D+02 
     6 ACM_Constraint_6                             7.54248D-02    -3.95507D-02 
     3 ACM_Constraint_3                            -3.22537D-05     3.42602D-05 
     4 ACM_Constraint_4                             3.22537D-05     2.73620D+04 
     2 ACM_Constraint_2                            -3.02339D-06     2.97898D-06 
     1 ACM_Constraint_1                             3.02339D-06     3.19484D-05 
     7 ACM_Constraint_7                            -6.44363D-14     5.31488D+02 
     8 ACM_Constraint_8                             6.44346D-14    -1.18570D-02 
                                                                                
                                                                                
                                                                      Shadow    
 Index   Most Violated SCALED   Residuals            Residual         Price     
====== =======================================    ============    ============= 
     5 ACM_Constraint_5                            -7.54248D-02     7.40790D+02 
     4 ACM_Constraint_4                             3.22537D-05     2.73620D+04 
     6 ACM_Constraint_6                             7.54248D-02    -3.95507D-02 
     3 ACM_Constraint_3                            -3.22537D-05     3.42602D-05 
     1 ACM_Constraint_1                             3.02339D-06     3.19484D-05 
     7 ACM_Constraint_7                            -6.44363D-14     5.31488D+02 
     2 ACM_Constraint_2                            -3.02339D-06     2.97898D-06 
     8 ACM_Constraint_8                             6.44346D-14    -1.18570D-02 
                                                                                
                                                                                
             Projected Active Constraints                             Shadow    
 Index          for the Next Iteration                Bound           Price     
====== =======================================    ============    ============= 
    10 Lower bnd SLACK5                             0.00000D+00     7.40737D+02 
    12 Lower bnd SLACK7                             0.00000D+00     5.31470D+02 
     9 Lower bnd SLACK4                             0.00000D+00     2.73620D+04 
                                                                                
                                                                                
 Iteration status                        =>      Warning                        
 Degrees of freedom                      =>            5                        
 Constrained variables                   =>            3                        
 Current degrees of freedom              =>            2                        
 Number of function evaluations          =>            1                        
 Number of Jacobian evaluations          =>            2                        
 Objective function convergence function =>  1.31817D-04                        
 Residual  function convergence function =>  2.63940D+00                        
 LU decomposition time (seconds)         =>     0.00D+00                        
 Search direction time (seconds)         =>     0.00D+00                        
                                                                                
                                                                                
 Model nonlinearity ratios =>                                                   
 ----------------------------                                                   
                                                                                
 Top                              = -0.52849                                    
                                                                                
 Model nonlinearity ratios of     0 model(s) between   0.99 and   1.01          
                                                                                
 Objective function nonlinearity ratio    => -9.18475E-03                       
                                                                                
                                                                                
Non-Linearity Report for Iteration   1 : Step Fraction =  1.00000D+00           
                                                                                
Index   Worst Equation Non-Linearity Ratios           Ratio         Deviation   
===== ========================================    ============    ============  
     5 ACM_Constraint_5                            -2.77445D+01     2.87445D+01 
     6 ACM_Constraint_6                            -2.77445D+01     2.87445D+01 
     4 ACM_Constraint_4                            -1.29193D-01     1.12919D+00 
     3 ACM_Constraint_3                            -1.29193D-01     1.12919D+00 
     1 ACM_Constraint_1                             1.07088D+00     7.08842D-02 
                                                                                
                                                                                
                                                                                
                                                                                
                                                                                
Non-Linearity Report for Iteration   1 : Step Fraction =  2.17397D-01           
                                                                                
Index   Worst Equation Non-Linearity Ratios           Ratio         Deviation   
===== ========================================    ============    ============  
     5 ACM_Constraint_5                            -8.83291D+01     8.93291D+01 
     6 ACM_Constraint_6                            -8.83291D+01     8.93291D+01 
     3 ACM_Constraint_3                            -2.25694D-01     1.22569D+00 
     4 ACM_Constraint_4                            -2.25694D-01     1.22569D+00 
     2 ACM_Constraint_2                             1.00000D+00     0.00000D+00 
                                                                                
                                                                                
                                                                                
                                                                                
                                                                                
Non-Linearity Report for Iteration   1 : Step Fraction =  5.17240D-02           
                                                                                
Index   Worst Equation Non-Linearity Ratios           Ratio         Deviation   
===== ========================================    ============    ============  
     5 ACM_Constraint_5                            -8.75179D+01     8.85179D+01 
     6 ACM_Constraint_6                            -8.75179D+01     8.85179D+01 
     3 ACM_Constraint_3                            -2.15447D-01     1.21545D+00 
     4 ACM_Constraint_4                            -2.15447D-01     1.21545D+00 
     2 ACM_Constraint_2                             1.00000D+00     0.00000D+00 
                                                                                
                                                                                
                                                                                
                                                                                
                                                                                
Non-Linearity Report for Iteration   1 : Step Fraction =  1.34502D-02           
                                                                                
Index   Worst Equation Non-Linearity Ratios           Ratio         Deviation   
===== ========================================    ============    ============  
     5 ACM_Constraint_5                            -8.87520D+01     8.97520D+01 
     6 ACM_Constraint_6                            -8.87520D+01     8.97520D+01 
     2 ACM_Constraint_2                             1.00000D+00     0.00000D+00 
     4 ACM_Constraint_4                             1.00000D+00     0.00000D+00 
     1 ACM_Constraint_1                             1.00000D+00     0.00000D+00 
                                                                                
                                                                                
                                                                                
                                                                                
                                                                                
Non-Linearity Report for Iteration   1 : Step Fraction =  3.51109D-03           
                                                                                
Index   Worst Equation Non-Linearity Ratios           Ratio         Deviation   
===== ========================================    ============    ============  
     5 ACM_Constraint_5                            -1.05224D+02     1.06224D+02 
     6 ACM_Constraint_6                            -1.05224D+02     1.06224D+02 
     2 ACM_Constraint_2                             1.00000D+00     0.00000D+00 
     4 ACM_Constraint_4                             1.00000D+00     0.00000D+00 
     1 ACM_Constraint_1                             1.00000D+00     0.00000D+00 
                                                                                
                                                                                
                                                                                
                                                                                
                                                                                
Non-Linearity Report for Iteration   1 : Step Fraction =  7.95704D-04           
                                                                                
Index   Worst Equation Non-Linearity Ratios           Ratio         Deviation   
===== ========================================    ============    ============  
     5 ACM_Constraint_5                            -5.18220D+02     5.19220D+02 
     6 ACM_Constraint_6                            -5.18220D+02     5.19220D+02 
     2 ACM_Constraint_2                             1.00000D+00     0.00000D+00 
     4 ACM_Constraint_4                             1.00000D+00     0.00000D+00 
     1 ACM_Constraint_1                             1.00000D+00     0.00000D+00 
                                                                                
                                                                                
                                                                                
                                                                                
                                                                                
=========================== QP Slack diagnostics  ============================  
                                                                                
  The following model equations, connection equations, fixed variables,         
  and active bounds have large shadow values                                    
 Model Equations                                                                
                                                                                
 Index     Model Equation Description               Shadow Value                
------     ---------------------------------------- ------------                
     5     ACM_Constraint_5                          3.77008D+18                
     4     ACM_Constraint_4                          1.01020D+18                
                                                                                
                                                                                
                                                                                
 Active Bounds                                                                  
                                                                                
 Index     Active Bound Description                 Shadow Value                
------     ---------------------------------------- ------------                
     5     Upper Bnd Length of element 1             3.76997D+18                
     9     Lower bnd SLACK4                          3.50287D+17                
    10     Lower bnd SLACK5                          9.49349D+15                
                                                                                
                                                                                
               +---------------------- WARNING --------------------+            
                 The [DMO] solver is resolving the QP subproblem,               
                 after the previous attempt failed to produce a                 
                 feasible solution.                                             
               +---------------------------------------------------+            
                                                                                
               +---------------------- WARNING --------------------+            
                 The active bounds from the last QP subproblem                  
                 will be IGNORED and the QP Slack variable upper                
                 bound is relaxed at  8.32724D-01                               
               +---------------------------------------------------+            
                                                                                
  Warning ...  QP slack variable =  9.25249D-01                                 
                                                                                
                                                                                
 Information => The following bounds had a large shadow value                   
                in the first QP subproblem and were violated in the             
                retry. Their values were adjusted to satisfy the bound.         
                Action: Investigate the validity of these bounds.               
                                                                                
             => QP step for variable      9: SLACK4                             
                was adjusted to satisfy its LOWER bound =   0.000000            
                The size of QP step violation was       =  1.0274307E-03        
                                                                                
             => QP step for variable     10: SLACK5                             
                was adjusted to satisfy its LOWER bound =   0.000000            
                The size of QP step violation was       =  4.8417248E-03        
                                                                                
                                                                                
                               +----------------+                               
                               | Iteration    2 |                               
                               +----------------+                               
                                                                                
                                                                                
Objective Function                       =>    21.17                            
Merit Function                           =>    21.17                            
                                                                                
                                                                                
                                                                                
                                                                                
                                                                      Shadow    
 Index   Most Violated UNSCALED Residuals            Residual         Price     
====== =======================================    ============    ============= 
     5 ACM_Constraint_5                            -1.06526D-01     3.55275D-02 
     6 ACM_Constraint_6                             1.06526D-01    -6.08176D-02 
     3 ACM_Constraint_3                            -3.22751D-05    -1.09617D-03 
     4 ACM_Constraint_4                             3.22751D-05     1.02782D-03 
     2 ACM_Constraint_2                            -2.92106D-06    -1.78653D-04 
     1 ACM_Constraint_1                             2.92106D-06     1.24273D+02 
     7 ACM_Constraint_7                            -5.83925D-14     9.94488D-03 
     8 ACM_Constraint_8                             5.83908D-14    -2.15843D-02 
                                                                                
                                                                                
                                                                      Shadow    
 Index   Most Violated SCALED   Residuals            Residual         Price     
====== =======================================    ============    ============= 
     6 ACM_Constraint_6                             1.06526D-01    -6.08176D-02 
     5 ACM_Constraint_5                            -1.06526D-01     3.55275D-02 
     1 ACM_Constraint_1                             2.92106D-06     1.24273D+02 
     3 ACM_Constraint_3                            -3.22751D-05    -1.09617D-03 
     4 ACM_Constraint_4                             3.22751D-05     1.02782D-03 
     2 ACM_Constraint_2                            -2.92106D-06    -1.78653D-04 
     8 ACM_Constraint_8                             5.83908D-14    -2.15843D-02 
     7 ACM_Constraint_7                            -5.83925D-14     9.94488D-03 
                                                                                
                                                                                
             Projected Active Constraints                             Shadow    
 Index          for the Next Iteration                Bound           Price     
====== =======================================    ============    ============= 
     6 Lower bnd SLACK1                             0.00000D+00     1.24272D+02 
                                                                                
                                                                                
 Iteration status                        =>      Warning                        
 Degrees of freedom                      =>            5                        
 Constrained variables                   =>            1                        
 Current degrees of freedom              =>            4                        
 Number of function evaluations          =>            7                        
 Number of Jacobian evaluations          =>            3                        
 Objective function convergence function =>  1.50470D-03                        
 Residual  function convergence function =>  3.06043D-04                        
 LU decomposition time (seconds)         =>     0.00D+00                        
 Search direction time (seconds)         =>     0.00D+00                        
                                                                                
                                                                                
 Model nonlinearity ratios =>                                                   
 ----------------------------                                                   
                                                                                
 Top                              =  -23.904                                    
                                                                                
 Model nonlinearity ratios of     0 model(s) between   0.99 and   1.01          
                                                                                
 Objective function nonlinearity ratio    =>  -5.8406                           
