gastrans.c File Reference

Detailed Description

Simple Gas Transportation Model.

Author

Stefan Vigerske

This example shows how to setup nonlinear constraints with signpower-expression when using SCIP as callable library. The example implements a model for the distribution of gas through a network of pipelines, which is formulated as a cost minimization subject to nonlinear flow-pressure relations, material balances, and pressure bounds. The Belgian gas network is used as an example.

The model is taken from the GAMS model library: https://www.gams.com/latest/gamslib_ml/libhtml/gamslib_gastrans.html

Original model source:

D. de Wolf and Y. Smeers
The Gas Transmission Problem Solved by and Extension of the Simplex Algorithm
Management Science 46, 11 (2000), 1454-1465

Definition in file gastrans.c.

#include <stdio.h>
#include <math.h>
#include "scip/scip.h"
#include "scip/scipdefplugins.h"

Go to the source code of this file.

Data Structures
struct	NodeData
struct	ArcData

Macros
#define	nnodes   20
#define	narcs   24
#define	infinity   1e+20

Typedefs
typedef struct NodeData	NodeData
typedef struct ArcData	ArcData

Functions
static SCIP_RETCODE	setupProblem (SCIP *scip)
static SCIP_RETCODE	runGastrans (void)
int	main (int argc, char **argv)

Variables
static const NodeData	nodedata []
static const ArcData	arcdata []
static const SCIP_Real	gastemp = 281.15
static const SCIP_Real	rugosity = 0.05
static const SCIP_Real	density = 0.616
static const SCIP_Real	compressibility = 0.8

Macro Definition Documentation

nnodes

#define nnodes   20

number of nodes (towns)

Definition at line 74 of file gastrans.c.

narcs

#define narcs   24

number of arcs

Definition at line 77 of file gastrans.c.

infinity

#define infinity   1e+20

value we use to represent infinity

Definition at line 80 of file gastrans.c.

Typedef Documentation

NodeData

typedef struct NodeData NodeData

node data structure

ArcData

typedef struct ArcData ArcData

arc data structure

Function Documentation

setupProblem()

static SCIP_RETCODE setupProblem ( SCIP *  scip )

static

sets up problem

Parameters

scip	SCIP data structure

Definition at line 154 of file gastrans.c.

References ArcData::active, active, arcdata, compressibility, density, gastemp, infinity, ArcData::length, narcs, nnodes, ArcData::node1, ArcData::node2, nodedata, NULL, rugosity, SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddCoefLinear(), SCIPaddCons(), SCIPaddVar(), SCIPcreateConsBasicLinear(), SCIPcreateConsBasicNonlinear(), SCIPcreateExprSignpower(), SCIPcreateExprSum(), SCIPcreateExprVar(), SCIPcreateProbBasic(), SCIPcreateVarBasic(), SCIPinfinity(), SCIPreleaseCons(), SCIPreleaseExpr(), SCIPreleaseVar(), and SCIPsnprintf().

Referenced by runGastrans().

runGastrans()

static SCIP_RETCODE runGastrans ( void  )

static

runs gas transportation example

Definition at line 331 of file gastrans.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPcreate(), SCIPfree(), SCIPincludeDefaultPlugins(), SCIPinfoMessage(), SCIPpresolve(), SCIPprintOrigProblem(), SCIPsolve(), and setupProblem().

Referenced by main().

main()

int main	(	int	argc,
		char **	argv
	)

main method starting SCIP

Parameters

argc	number of arguments from the shell
argv	array of shell arguments

Definition at line 374 of file gastrans.c.

References runGastrans(), SCIP_OKAY, and SCIPprintError().

Variable Documentation

nodedata

const NodeData nodedata[]

static

Initial value:

=
{
   
   {"Anderlues",        0.0,       1.2,       0.0,      66.2,   0.0  },  
   {"Antwerpen",  -infinity,    -4.034,      30.0,      80.0,   0.0  },  
   {"Arlon",      -infinity,    -0.222,       0.0,      66.2,   0.0  },  
   {"Berneau",          0.0,       0.0,       0.0,      66.2,   0.0  },  
   {"Blaregnies", -infinity,   -15.616,      50.0,      66.2,   0.0  },  
   {"Brugge",     -infinity,    -3.918,      30.0,      80.0,   0.0  },  
   {"Dudzele",          0.0,       8.4,       0.0,      77.0,   2.28 },  
   {"Gent",       -infinity,    -5.256,      30.0,      80.0,   0.0  },  
   {"Liege",      -infinity,    -6.385,      30.0,      66.2,   0.0  },  
   {"Loenhout",         0.0,       4.8,       0.0,      77.0,   2.28 },  
   {"Mons",       -infinity,    -6.848,       0.0,      66.2,   0.0  },  
   {"Namur",      -infinity,    -2.120,       0.0,      66.2,   0.0  },  
   {"Petange",    -infinity,    -1.919,      25.0,      66.2,   0.0  },  
   {"Peronnes",         0.0,      0.96,       0.0,      66.2,   1.68 },  
   {"Sinsin",           0.0,       0.0,       0.0,      63.0,   0.0  },  
   {"Voeren",        20.344,    22.012,      50.0,      66.2,   1.68 },  
   {"Wanze",            0.0,       0.0,       0.0,      66.2,   0.0  },  
   {"Warnand",          0.0,       0.0,       0.0,      66.2,   0.0  },  
   {"Zeebrugge",       8.87,    11.594,       0.0,      77.0,   2.28 },  
   {"Zomergem",         0.0,       0.0,       0.0,      80.0,   0.0  }   
}

data of nodes

Definition at line 83 of file gastrans.c.

Referenced by addBranchingComplementaritiesSOS1(), analyzeConflictOverload(), certificateFreeNodeData(), certificateIsLeftNode(), checkConComponentsVarbound(), checkOverloadViaThetaTree(), collectThetaSubtree(), computeEnergyContribution(), deleteLambdaLeaf(), detectVarboundSOS1(), findResponsibleLambdaLeafTraceEnergy(), findResponsibleLambdaLeafTraceEnvelop(), freeConflictgraph(), freeImplGraphSOS1(), generateBoundInequalityFromSOS1Nodes(), getBoundConsFromVertices(), inferboundsEdgeFinding(), initConflictgraph(), initImplGraphSOS1(), insertThetanode(), moveNodeToLambda(), nodeGetSolvalVarboundLbSOS1(), nodeGetSolvalVarboundUbSOS1(), passConComponentVarbound(), propVariableNonzero(), SCIPcertificateNewNodeData(), SCIPcertificatePrintInheritedBound(), SCIPcertificatePrintUnsplitting(), SCIPcertificateUpdateBoundData(), SCIPcertificateUpdateBranchingData(), SCIPcertificateUpdateParentData(), SCIPnodeGetVarSOS1(), sepaImplBoundCutsSOS1(), setupProblem(), traceLambdaEnergy(), traceLambdaEnvelop(), traceThetaEnvelop(), updateEnvelope(), and updateKeyOnTrace().

arcdata

const ArcData arcdata[]

static

Initial value:

=
{
  
   { 18,  6, 890.0,   4.0, FALSE },
   { 18,  6, 890.0,   4.0, FALSE },
   {  6,  5, 890.0,   6.0, FALSE },
   {  6,  5, 890.0,   6.0, FALSE },
   {  5, 19, 890.0,  26.0, FALSE },
   {  9,  1, 590.1,  43.0, FALSE },
   {  1,  7, 590.1,  29.0, FALSE },
   {  7, 19, 590.1,  19.0, FALSE },
   { 19, 13, 890.0,  55.0, FALSE },
   { 15,  3, 890.0,   5.0,  TRUE },
   { 15,  3, 395.0,   5.0,  TRUE },
   {  3,  8, 890.0,  20.0, FALSE },
   {  3,  8, 395.0,  20.0, FALSE },
   {  8, 17, 890.0,  25.0, FALSE },
   {  8, 17, 395.0,  25.0, FALSE },
   { 17, 11, 890.0,  42.0, FALSE },
   { 11,  0, 890.0,  40.0, FALSE },
   {  0, 13, 890.0,   5.0, FALSE },
   { 13, 10, 890.0,  10.0, FALSE },
   { 10,  4, 890.0,  25.0, FALSE },
   { 17, 16, 395.5,  10.5, FALSE },
   { 16, 14, 315.5,  26.0,  TRUE },
   { 14,  2, 315.5,  98.0, FALSE },
   {  2, 12, 315.5,   6.0, FALSE }
}

data of arcs

Definition at line 109 of file gastrans.c.

Referenced by setupProblem().

gastemp

const SCIP_Real gastemp = 281.15

static

gas temperatur (K)

Definition at line 139 of file gastrans.c.

Referenced by setupProblem().

rugosity

const SCIP_Real rugosity = 0.05

static

absolute rugosity (mm)

Definition at line 142 of file gastrans.c.

Referenced by setupProblem().

density

const SCIP_Real density = 0.616

static

density of gas relative to air

Definition at line 145 of file gastrans.c.

Referenced by scoring(), setupProblem(), and tcliquegraphConstructCliqueTable().

compressibility

const SCIP_Real compressibility = 0.8

static

compressibility factor

Definition at line 148 of file gastrans.c.

Referenced by setupProblem().