xpress05.gms : XPRESS test suite - solution enumerator example

Description

```Test the XPRESS solution enumerator.  To test we use a variant of the
dice model (adjusted to avoid multiple representations of the same
solution).  The test model is a maximization having 2 solutions with
obj=21, 98 solutions with obj=20, and plenty of solutions with obj=19.
We test a number of things:
1. Return all optimal solutions (i.e. obj = 21)
2. Return all solutions with obj = 20 or 21
3. Return the 2 best solutions
4. Return the 3 best solutions
5. Return the 100 best solutions
6. Return the 200 best solutions
7. Return first 10 solutions with obj 20 or 21
8. Return first 200 solutions with obj >= 18

Contributor: Steve Dirkse, Jan 2012
```

Small Model of Type : MIP

Category : GAMS Test library

Main file : xpress05.gms

``````\$title XPRESS test suite - solution enumerator example (XPRESS05,SEQ=554)

\$ontext
Test the XPRESS solution enumerator.  To test we use a variant of the
dice model (adjusted to avoid multiple representations of the same
solution).  The test model is a maximization having 2 solutions with
obj=21, 98 solutions with obj=20, and plenty of solutions with obj=19.
We test a number of things:
1. Return all optimal solutions (i.e. obj = 21)
2. Return all solutions with obj = 20 or 21
3. Return the 2 best solutions
4. Return the 3 best solutions
5. Return the 100 best solutions
6. Return the 200 best solutions
7. Return first 10 solutions with obj 20 or 21
8. Return first 200 solutions with obj >= 18

Contributor: Steve Dirkse, Jan 2012
\$offtext

\$ifthen %DEMOSIZE% == 1
\$ log This test is too big to run in demo mode: exiting
\$ abort.noerror
\$endif

\$if not exist mip06.gms \$call testlib -q mip06
\$onecho > poolObj.gms
* read in solutions and compute their objectives

set
pool        'solutions generated'
p2(pool)
d  'number of dice'
f  'die faces'
v 'face values'
map(d,f,v)        'maps dice faces to values'
win(d,f,f)        'true if faceVal(d,f) beats faceVal(d++,fp)'
;
alias(f,fp),(d,dp);
parameter
obj(pool)
faceVal(d,f)      'value on die face - will be integer'
vals(v)           'possible face values'
chk(v)
;
scalar ok / 0 /;
binary variables
mapv(d,f,v)       'maps dice faces to values'
;
\$gdxin diceDef
\$gdxin
\$gdxin %INFILE%
\$gdxin

ok = 525;

file fpool;
loop{pool,
p2(pool) = no;  p2(pool) = yes;
put_utility fpool 'gdxin' / pool.te(pool);
map(d,f,v) = round(mapv.l(d,f,v));
display map;
chk(v) = 1 - sum{map(d,f,v), 1};
faceVal(d,f) = sum{map(d,f,v), vals(v)};
win(d,f,fp) = [faceVal(d,f) > faceVal(d++1,fp) + 0.5];
obj(pool) = smin{d, sum{win(d,f,fp), 1}};
};
\$offecho

sets
pool 'possible solutions' / file1*file999 /
p(pool)
;
parameter
obj(pool)
chk(pool)
;
scalar cnt;

* -------------------------------------------------------------------------

*  1. Return all optimal solutions (i.e. obj = 21)
\$onecho > xpress.101
solnpool           diceSols101.gdx
solnpoolPrefix     test101
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
mipabscutoff       20.5
* by default, the pool has a very large capacity
\$offecho
\$call gams mip06.gms mip=xpress optfile=101 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 101 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols101 --outfile=diceObjs101 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) <> 2] 'test 101: should have 2 solutions of 21', p, obj;
chk(p) = obj(p) - 21;
abort\$[card(chk)] 'test 101: should have 2 solutions of 21', chk, p, obj;

* -------------------------------------------------------------------------

*  2. Return all solutions with obj = 20 or 21
\$onecho > xpress.102
solnpool           diceSols102.gdx
solnpoolPrefix     test102
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
mipabscutoff       19.5
* by default, the pool has a very large capacity
\$offecho
\$call gams mip06.gms mip=xpress optfile=102 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 102 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols102 --outfile=diceObjs102 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

* expect 100 sols: 2 with obj=21, 98 with obj=20
p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) <> 100] 'test 102: should have 100 solutions', p, obj;
cnt = sum{p\$[obj(p) = 21], 1};
abort\$[cnt <> 2] 'test 102: should have 2 solutions of 21', cnt, p, obj;
cnt = sum{p\$[obj(p) = 20], 1};
abort\$[cnt <> 98] 'test 102: should have 98 solutions of 20', cnt, p, obj;

* -------------------------------------------------------------------------

*  3. Return the 2 best solutions
\$onecho > xpress.103
* return the 2 best solutions
* this is the default behavior if you have a fixed capacity
solnpoolCapacity   2
solnpool           diceSols103.gdx
solnpoolPrefix     test103
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
\$offecho
\$call gams mip06.gms mip=xpress optfile=103 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 103 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols103 --outfile=diceObjs103 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

* expect 2 sols with obj=21
p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) <> 2] 'test 103: should have 2 solutions of 21', p, obj;
cnt = sum{p\$[obj(p) = 21], 1};
abort\$[cnt <> 2] 'test 103: should have 2 solutions of 21', cnt, p, obj;

* -------------------------------------------------------------------------

*  4. Return the 3 best solutions
\$onecho > xpress.104
* return the 3 best solutions
* this is the default behavior if you have a fixed capacity
solnpoolCapacity   3
solnpool           diceSols104.gdx
solnpoolPrefix     test104
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
\$offecho
\$call gams mip06.gms mip=xpress optfile=104 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 104 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols104 --outfile=diceObjs104 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

* expect 2 sols with obj=21, 1 with obj=20
p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) <> 3] 'test 104: should have 3 solutions', p, obj;
cnt = sum{p\$[obj(p) = 21], 1};
abort\$[cnt <> 2] 'test 104: should have 2 solutions of 21', cnt, p, obj;
cnt = sum{p\$[obj(p) = 20], 1};
abort\$[cnt <> 1] 'test 104: should have 1 solution of 20', cnt, p, obj;

* -------------------------------------------------------------------------

*  5. Return the 100 best solutions
\$onecho > xpress.105
* return the 100 best solutions
* this is the default behavior if you have a fixed capacity
solnpoolCapacity   100
solnpool           diceSols105.gdx
solnpoolPrefix     test105
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
\$offecho
\$call gams mip06.gms mip=xpress optfile=105 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 105 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols105 --outfile=diceObjs105 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

* expect 2 sols with obj=21, 98 with obj=20
p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) <> 100] 'test 105: should have 100 solutions', p, obj;
cnt = sum{p\$[obj(p) = 21], 1};
abort\$[cnt <> 2] 'test 105: should have 2 solutions of 21', cnt, p, obj;
cnt = sum{p\$[obj(p) = 20], 1};
abort\$[cnt <> 98] 'test 105: should have 98 solutions of 20', cnt, p, obj;

* -------------------------------------------------------------------------

*  6. Return the 200 best solutions
\$onecho > xpress.106
* return the 200 best solutions
* this is the default behavior if you have a fixed capacity
solnpoolCapacity   200
solnpool           diceSols106.gdx
solnpoolPrefix     test106
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
\$offecho
\$call gams mip06.gms mip=xpress optfile=106 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 106 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols106 --outfile=diceObjs106 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

* expect 2 sols with obj=21, 98 with obj=20, and 100 with obj=19
p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) <> 200] 'test 106: should have 200 solutions', p, obj;
cnt = sum{p\$[obj(p) = 21], 1};
abort\$[cnt <> 2] 'test 106: should have 2 solutions of 21', cnt, p, obj;
cnt = sum{p\$[obj(p) = 20], 1};
abort\$[cnt <> 98] 'test 106: should have 98 solutions of 20', cnt, p, obj;
cnt = sum{p\$[obj(p) = 19], 1};
abort\$[cnt <> 100] 'test 106: should have 100 solutions of 19', cnt, p, obj;

* -------------------------------------------------------------------------

*  7. Return first 10 solutions with obj 20 or 21
\$onecho > xpress.107
* return the first 10 solutions with obj >= 20
* setting cullRounds = 0 stops enumeration as soon as the pool is full
mipabscutoff       19.5
solnpoolCapacity   10
solnPoolCullRounds 0
solnpool           diceSols107.gdx
solnpoolPrefix     test107
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
\$offecho
\$call gams mip06.gms mip=xpress optfile=107 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 107 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols107 --outfile=diceObjs107 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

* expect 10 sols with obj >= 20
* OK maybe 11 with XPRESS 24.01.04 but we really want 10
* we will get 10 again with the next XPRESS release
p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) < 10] 'test 107: should have 10 solutions', p, obj;
abort\$[card(p) > 11] 'test 107: should have 10 (maybe 11) solutions', p, obj;
chk(p) = [obj(p) < 20];
abort\$[card(chk)] 'test 107: should have 10 solutions with obj >= 20', chk, p, obj;

* -------------------------------------------------------------------------

*  8. Return first 200 solutions with obj >= 18
\$onecho > xpress.108
* return the first 200 solutions with obj >= 18
* setting cullRounds = 0 stops enumeration as soon as the pool is full
* OK maybe 201 sols with XPRESS 24.01.04 but we really want 200
* we will get 200 again with the next XPRESS release
mipabscutoff       17.5
solnpoolCapacity   200
solnPoolCullRounds 0
solnpool           diceSols108.gdx
solnpoolPrefix     test108
solnpoolDupPolicy  3
solnpoolPop        2
solnpoolVerbosity  2
\$offecho
\$call gams mip06.gms mip=xpress optfile=108 --SKIPCUTS=1 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Generating solutions for run 108 with XPRESS enumerator failed

\$call gams poolObj.gms --infile=diceSols108 --outfile=diceObjs108 lo=%GAMS.lo%
\$if errorlevel 1 \$abort Computing/checking objectives failed

* expect 200 sols with obj >= 18
p(pool) = no;  obj(pool) = 0;  chk(pool) = 0;
abort\$[card(p) < 200] 'test 108: should have 200 solutions', p, obj;
abort\$[card(p) > 201] 'test 108: should have 200 (maybe 201) solutions', p, obj;
chk(p) = [obj(p) < 18];
abort\$[card(chk)] 'test 108: should have 200 solutions with obj >= 18', chk, p, obj;

* -------------------------------------------------------------------------

* for debugging you can skip the cleanup, o/w this test leaves a mess
* \$goto alldone

execute 'rm -f  xpress.10?';
execute 'rm -f  test10?_dice_p*.gdx';
execute 'rm -f  diceDef.gdx diceSols10?.gdx diceObjs10?.gdx';

\$label alldone
``````
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