MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Removed Instance srcpm

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
2109.78183300 p1 ( gdx sol )
(infeas: 5e-13)
Other points (infeas > 1e-08)  
Dual Bounds
2109.78183300 (ANTIGONE)
2109.78183100 (BARON)
2109.65258100 (COUENNE)
2109.78183300 (LINDO)
2109.78183300 (SCIP)
References Manne, Alan S, Nelson, C R, So, K C, and Weyant, J P, CPM: A Contingency Planning Model of the International Oil Market, International Energy Program Report, Tech. Rep., Stanford University, 1982.
Source GAMS Model Library model srcpm
Application Contingency Planning
Added to library 31 Jul 2001
Removed from library 16 Feb 2022
Removed because Instance is continuous and convex.
Problem type NLP
#Variables 39
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 5
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type signomial
Objective curvature convex
#Nonzeros in Objective 6
#Nonlinear Nonzeros in Objective 5
#Constraints 27
#Linear Constraints 27
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 156
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 5
#Nonzeros in Diagonal of Hessian of Lagrangian 5
#Blocks in Hessian of Lagrangian 5
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 2.0000e-02
Maximal coefficient 5.1300e+06
Infeasibility of initial point 2.274e-13
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         28        2       14       12        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*         40       40        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        163      158        5        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,objvar;

Positive Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28;


e1..  - x3 - x4 + x23 =G= 0;

e2..  - x5 - x6 + x24 =G= 0;

e3..  - x7 - x8 + x25 =G= 0;

e4..  - x9 - x10 + x26 =G= -0.7;

e5..  - x11 - x12 + x27 =G= 0;

e6..  - x13 - x14 + x28 =G= 0;

e7..  - x1 - x2 + x29 =G= 0;

e8..    0.35*x3 + 0.34*x4 + 0.5*x5 + 0.49*x6 + 0.68*x7 + 0.67*x8 - x17 - x18
      + 0.99*x21 + 0.99*x22 - x32 =G= 0;

e9..    0.38*x9 + 0.38*x10 + 0.48*x11 + 0.47*x12 + 0.66*x13 + 0.65*x14 - x19
      - x20 - x21 - x22 - x33 =G= 0;

e10..    0.2*x1 + 0.2*x2 + 0.96*x15 + 0.96*x16 + 0.67*x17 + 0.36*x18 + 0.61*x19
       + 0.25*x20 - x30 - x34 =G= 0;

e11..    0.28*x3 + 0.28*x4 + 0.25*x5 + 0.25*x6 + 0.2*x7 + 0.2*x8 + 0.26*x9
       + 0.26*x10 + 0.23*x11 + 0.23*x12 + 0.18*x13 + 0.18*x14 + 0.07*x17
       + 0.18*x18 + 0.02*x19 + 0.1*x20 + x30 + 0.93*x31 - x35 =G= -0.5;

e12..    0.8*x1 + 0.8*x2 + 0.35*x3 + 0.35*x4 + 0.23*x5 + 0.23*x6 + 0.1*x7
       + 0.1*x8 + 0.33*x9 + 0.33*x10 + 0.27*x11 + 0.27*x12 + 0.14*x13
       + 0.14*x14 - x15 - x16 + 0.04*x17 + 0.03*x18 + 0.06*x19 + 0.04*x20 - x31
       - x36 =G= 0;

e13..    0.23*x17 + 0.42*x18 + x32 - x37 =G= 0;

e14..    0.3*x19 + 0.6*x20 + x33 - x38 =G= -0.1;

e15..    x1 =L= 3.4;

e16..    x2 =L= 0;

e17..    x21 =L= 2.7;

e18..    x22 =L= 0.3;

e19..    x3 + x5 + x7 + x9 + x11 + x13 =L= 50.5;

e20..    x4 + x6 + x8 + x10 + x12 + x14 =L= 7.5;

e21..    x15 =L= 7.1;

e22..    x16 =L= 0.8;

e23..    x17 + x19 =L= 7.3;

e24..    x18 + x20 =L= 2.9;

e25..  - 0.83*x17 + x19 =L= 3.9;

e26..    x20 =L= 2.5;

e27..  - 0.45*x3 - 0.5*x4 - 0.45*x5 - 0.5*x6 - 0.45*x7 - 0.5*x8 - 0.5*x9
       - 0.55*x10 - 0.5*x11 - 0.55*x12 - 0.5*x13 - 0.55*x14 - 0.41*x15
       - 0.5*x16 - 0.27*x17 - 0.45*x18 - 0.32*x19 - 0.28*x20 - 0.9*x21 - x22
       - 32*x23 - 32*x24 - 32*x25 - 32*x26 - 32*x27 - 32*x28 - 32*x29 + 0.3*x30
       + x39 =E= 0;

e28.. -(-3865470.56640001*x34**(-4) - 5130022.82472*x35**(-4) - 423446.8691225*
      x36**(-4) - 1808.40439881057*x37**(-2.33333333333333) - 17313.2956782741*
      x38**(-2.33333333333333)) + x39 - objvar =E= 0;

* set non-default bounds
x23.up = 13.6;
x24.up = 1.1;
x25.up = 1;
x26.up = 16.2;
x27.up = 8.9;
x28.up = 4.4;
x29.up = 3.1;
x30.up = 1.7;
x31.up = 1.9;
x34.lo = 2;
x35.lo = 2;
x36.lo = 2;
x37.lo = 2;
x38.lo = 2;

* set non-default levels
x1.l = 3.1;
x3.l = 13.6;
x5.l = 1.1;
x7.l = 1;
x9.l = 16.4244058299284;
x11.l = 8.9;
x13.l = 4.4;
x15.l = 7.1;
x16.l = 0.8;
x17.l = 5.56103683518173;
x18.l = 0.312071787775987;
x19.l = 1.73896316481828;
x20.l = 2.5;
x21.l = 2.7;
x23.l = 13.6;
x24.l = 1.1;
x25.l = 1;
x26.l = 15.7244058299284;
x27.l = 8.9;
x28.l = 4.4;
x29.l = 3.1;
x30.l = 0.928008053710258;
x31.l = 0.268195340806014;
x32.l = 2.78989137704229;
x33.l = 6.47831105055452;
x34.l = 12.8;
x35.l = 13.8;
x36.l = 8.3;
x37.l = 4.2;
x38.l = 8.6;
x39.l = 1560.6691675193;

* set non-default marginals
e1.m = 1;
e2.m = 1;
e3.m = 1;
e4.m = 1;
e5.m = 1;
e6.m = 1;
e7.m = 1;
e8.m = 1;
e9.m = 1;
e10.m = 1;
e11.m = 1;
e12.m = 1;
e13.m = 1;
e14.m = 1;
e16.m = 1;
e17.m = 1;
e21.m = 1;
e22.m = 1;
e23.m = 1;
e26.m = 1;
e27.m = 1;
x4.m = 1;
x6.m = 1;
x8.m = 1;
x10.m = 1;
x12.m = 1;
x14.m = 1;
x22.m = 1;
x23.m = 1;
x24.m = 1;
x25.m = 1;
x27.m = 1;
x28.m = 1;
x29.m = 1;
x34.m = 1;
x35.m = 1;
x36.m = 1;
x37.m = 1;
x38.m = 1;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;


Last updated: 2022-05-24 Git hash: 1198c186
Imprint / Privacy Policy / License: CC-BY 4.0