[Scip] SCIP v3.2.0 Hanging on Problem

Benjamin Müller benjamin.mueller at zib.de
Thu Jul 2 11:02:18 CEST 2015


Dear Jonathan,

sorry, I now realized that SCIP does not only run into the time limit 
but also gets stuck at node 415. I will have a deeper look at the 
problem and write a mail if I figured out the problem.


Best,

Benny

On 07/02/2015 09:08 AM, Benjamin Müller wrote:
> Dear Jonathan,
>
> the problem is that the LP relaxation of this problem is unbounded and 
> SCIP has some troubles to find a bounded (linear) one. It would 
> definitely help if you give your variables some artificial bounds. I 
> tried to replace infinity by M (=1000) and solved the problem in 2s 
> and got as solution
>
>
> objective value:                   -0.250000756970904
> t_xvar0                             0.793669420214128   (obj:0)
> t_xvar1                             0.707148562806428   (obj:0)
> t_xvar2                             0.529706057231088   (obj:0)
> t_xvar3                             0.840921294489214   (obj:0)
> t_nlobj                            -0.250000756970904   (obj:1)
> nlreform0                            0.62991145338235   (obj:0)
> nlreform1sp                         0.499941002617224   (obj:0)
> nlreform2                            0.66741358081024   (obj:0)
> nlreform3                           0.374581225460006   (obj:0)
>
> which is far away from M for each variable. Maybe you find some 
> artificial bounds which are fine for your purposes.
>
>
> Best regards,
>
> Benny
>
>
> On 07/02/2015 02:31 AM, Jonathan Currie wrote:
>> Hi All,
>>
>> The attached problem hangs (well, fails to make any reasonable progress) in my latest build of SCIP v3.2 with default settings. Original problem:
>>
>> Min     -x(1)*x(2)*x(3)*x(4)
>> s.t.    x(1)^3 + x(2)^2 - 1 == 0
>>            x(1)^2*x(4) - x(3) == 0
>>            x(4)^2 - x(2) == 0
>>
>> Any ideas?
>>
>> Thanks,
>> Jonathan
>>
>> SCIP: Solving Constraint Integer Programs [v3.2.0, Built Jul  2 2015, VS2013]
>>    - SoPlex [v220] (ZIB Academic License)
>>    - Ipopt  [v3.12.3] (Eclipse Public License)
>>    - CppAD  [v20140000.3] (Eclipse Public License)
>>
>> presolving:
>> (round 1, fast)       0 del vars, 0 del conss, 0 add conss, 1 chg bounds, 0 chg sides, 0 chg coeffs, 1 upgd conss, 0 impls, 0 clqs
>> (round 2, fast)       0 del vars, 0 del conss, 0 add conss, 2 chg bounds, 0 chg sides, 0 chg coeffs, 1 upgd conss, 0 impls, 0 clqs
>> (round 3, fast)       0 del vars, 0 del conss, 4 add conss, 2 chg bounds, 0 chg sides, 0 chg coeffs, 1 upgd conss, 0 impls, 0 clqs
>> (round 4, fast)       0 del vars, 0 del conss, 4 add conss, 3 chg bounds, 0 chg sides, 0 chg coeffs, 7 upgd conss, 0 impls, 0 clqs
>> (round 5, fast)       0 del vars, 0 del conss, 4 add conss, 4 chg bounds, 0 chg sides, 0 chg coeffs, 8 upgd conss, 0 impls, 0 clqs
>> presolving (6 rounds: 6 fast, 1 medium, 1 exhaustive):
>>   0 deleted vars, 0 deleted constraints, 4 added constraints, 4 tightened bounds, 0 added holes, 0 changed sides, 0 changed coefficients
>>   0 implications, 0 cliques
>> presolved problem has 9 variables (0 bin, 0 int, 0 impl, 9 cont) and 8 constraints
>>        2 constraints of type <abspower>
>>        6 constraints of type <quadratic>
>> Presolving Time: 0.00
>>
>>   time | node  | left  |LP iter|LP it/n| mem |mdpt |frac |vars |cons |cols |rows |cuts |confs|strbr|  dualbound   | primalbound  |  gap
>>    0.0s|     1 |     0 |     0 |     - | 219k|   0 |   - |   9 |   8 |   9 |  10 |   0 |   0 |   0 |      --      |      --      |    Inf
>>
>> ******************************************************************************
>> This program contains Ipopt, a library for large-scale nonlinear optimization.
>>   Ipopt is released as open source code under the Eclipse Public License (EPL).
>>           For more information visithttp://projects.coin-or.org/Ipopt
>> ******************************************************************************
>>
>>    0.1s|     1 |     0 |     2 |     - | 223k|   0 |   - |   9 |   8 |   9 |  11 |   1 |   0 |   0 |      --      |      --      |    Inf
>> (node 1) LP relaxation is unbounded (LP 1)
>> q 0.1s|     1 |     0 |    15 |     - | 225k|   0 |   - |   9 |   8 |   9 |  11 |   1 |   0 |   0 |      --      |0.000000e+000 |    Inf
>>    0.1s|     1 |     0 |    15 |     - | 225k|   0 |   - |   9 |   8 |   9 |  11 |   1 |   0 |   0 |      --      |0.000000e+000 |    Inf
>> (node 1) LP relaxation is unbounded (LP 4)
>>    0.1s|     1 |     2 |    15 |     - | 224k|   0 |   - |   9 |   8 |   9 |  11 |   1 |   0 |   0 |      --      |0.000000e+000 |    Inf
>> y 0.1s|     2 |     1 |    15 |  13.0 | 224k|   1 |   - |   9 |   8 |   0 |   0 |   1 |   0 |   0 |      --      |-2.500000e-001 |    Inf
>>    0.2s|   100 |    77 |    40 |   0.4 | 254k|  77 |   - |   9 |   8 |   9 |   0 |  26 |   0 |   0 |      --      |-2.500000e-001 |    Inf
>>    0.2s|   200 |    45 |    40 |   0.2 | 259k| 112 |   - |   9 |   8 |   0 |   0 |  26 |   0 |   0 |      --      |-2.500000e-001 |    Inf
>>    0.3s|   300 |    65 |    40 |   0.1 | 273k| 171 |   - |   9 |   8 |   9 |   0 |  26 |   0 |   0 |      --      |-2.500000e-001 |    Inf
>>    0.3s|   400 |   153 |   555 |   1.4 | 372k| 255 |   0 |   9 |   8 |   9 |  79 | 574 |   0 |   0 |      --      |-2.500000e-001 |    Inf
>>
>> SCIP Status        : solving was interrupted [time limit reached]
>> Solving Time (sec) : 1000.00
>> Solving Nodes      : 415
>> Primal Bound       : -2.50000000000035e-001 (2 solutions)
>> Dual Bound         : -1.00000000000000e+020
>> Gap                : infinite
>>
>>
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>
> -- 
> ______________________________
> Benjamin Müller
> Zuse Institute Berlin
> Takustr. 7, 14195 Berlin
> benjamin.mueller at zib.de
> +49 30 841 85-195
>
>
> _______________________________________________
> Scip mailing list
> Scip at zib.de
> http://listserv.zib.de/mailman/listinfo/scip

-- 
______________________________
Benjamin Müller
Zuse Institute Berlin
Takustr. 7, 14195 Berlin
benjamin.mueller at zib.de
+49 30 841 85-195

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