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1.6.0-DEV-0669b64613.log
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Julia Version 1.6.0-DEV.1153
Commit 0669b64613 (2020-10-07 09:01 UTC)
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: AMD EPYC 7502 32-Core Processor
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-10.0.1 (ORCJIT, znver2)
Environment:
JULIA_DEPOT_PATH = ::/usr/local/share/julia
JULIA_NUM_THREADS = 2
Resolving package versions...
Installed WinReg ─ v0.3.1
Installed Mosek ── v1.1.3
Updating `~/.julia/environments/v1.6/Project.toml`
[6405355b] + Mosek v1.1.3
Updating `~/.julia/environments/v1.6/Manifest.toml`
[6405355b] + Mosek v1.1.3
[1b915085] + WinReg v0.3.1
[56f22d72] + Artifacts
[2a0f44e3] + Base64
[ade2ca70] + Dates
[b77e0a4c] + InteractiveUtils
[76f85450] + LibGit2
[8f399da3] + Libdl
[37e2e46d] + LinearAlgebra
[56ddb016] + Logging
[d6f4376e] + Markdown
[44cfe95a] + Pkg
[de0858da] + Printf
[3fa0cd96] + REPL
[9a3f8284] + Random
[ea8e919c] + SHA
[9e88b42a] + Serialization
[6462fe0b] + Sockets
[2f01184e] + SparseArrays
[fa267f1f] + TOML
[8dfed614] + Test
[cf7118a7] + UUIDs
[4ec0a83e] + Unicode
Building Mosek → `~/.julia/scratchspaces/44cfe95a-1eb2-52ea-b672-e2afdf69b78f/883be630ab4a25991037c2a2079d7170a5a8908e/build.log`
Testing Mosek
Status `/tmp/jl_hUebSX/Project.toml`
[6405355b] Mosek v1.1.3
[1b915085] WinReg v0.3.1
[8f399da3] Libdl
[44cfe95a] Pkg
[de0858da] Printf
[2f01184e] SparseArrays
[8dfed614] Test
Status `/tmp/jl_hUebSX/Manifest.toml`
[6405355b] Mosek v1.1.3
[1b915085] WinReg v0.3.1
[56f22d72] Artifacts
[2a0f44e3] Base64
[ade2ca70] Dates
[b77e0a4c] InteractiveUtils
[76f85450] LibGit2
[8f399da3] Libdl
[37e2e46d] LinearAlgebra
[56ddb016] Logging
[d6f4376e] Markdown
[44cfe95a] Pkg
[de0858da] Printf
[3fa0cd96] REPL
[9a3f8284] Random
[ea8e919c] SHA
[9e88b42a] Serialization
[6462fe0b] Sockets
[2f01184e] SparseArrays
[fa267f1f] TOML
[8dfed614] Test
[cf7118a7] UUIDs
[4ec0a83e] Unicode
Testing Running tests...
File opened at Wed Oct 7 10:02:31 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : max
Type : LO (linear optimization problem)
Constraints : 2
Cones : 0
Scalar variables : 2
Matrix variables : 0
Integer variables : 2
Optimizer started.
Mixed integer optimizer started.
Threads used: 1
Presolve started.
Presolve terminated. Time = 0.00
Presolved problem: 2 variables, 2 constraints, 4 non-zeros
Presolved problem: 2 general integer, 0 binary, 0 continuous
Clique table size: 0
BRANCHES RELAXS ACT_NDS DEPTH BEST_INT_OBJ BEST_RELAX_OBJ REL_GAP(%) TIME
0 0 1 0 5.0000000000e+00 NA NA 0.0
0 1 1 0 5.0000000000e+00 2.8891191710e+01 477.82 0.0
0 1 1 0 2.4120000000e+01 2.8891191710e+01 19.78 0.0
Cut generation started.
0 1 1 0 2.4120000000e+01 2.8891191710e+01 19.78 0.0
0 2 1 0 2.4120000000e+01 2.4333333333e+01 0.88 0.0
Cut generation terminated. Time = 0.00
Objective of best integer solution : 2.412000000000e+01
Best objective bound : 2.412000000000e+01
Construct solution objective : Not employed
User objective cut value : Not employed
Number of cuts generated : 3
Number of Gomory cuts : 3
Number of branches : 0
Number of relaxations solved : 4
Number of interior point iterations: 5
Number of simplex iterations : 2
Time spend presolving the root : 0.00
Time spend optimizing the root : 0.00
Mixed integer optimizer terminated. Time: 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:31 2020
Integer solution solution summary
Problem status : PRIMAL_FEASIBLE
Solution status : INTEGER_OPTIMAL
Primal. obj: 2.4120000000e+01 nrm: 2e+02 Viol. con: 0e+00 var: 0e+00 itg: 0e+00
Test Summary: | Pass Total
[apitest] | 19 19
File opened at Wed Oct 7 10:02:35 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : max
Type : LO (linear optimization problem)
Constraints : 3
Cones : 0
Scalar variables : 4
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.00
Problem
Name :
Objective sense : max
Type : LO (linear optimization problem)
Constraints : 3
Cones : 0
Scalar variables : 4
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 1
Optimizer - solved problem : the primal
Optimizer - Constraints : 3
Optimizer - Cones : 0
Optimizer - Scalar variables : 6 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.00 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.00
Factor - nonzeros before factor : 6 after factor : 6
Factor - dense dim. : 0 flops : 4.80e+01
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 6.5e+01 4.9e+01 7.3e+01 0.00e+00 1.000000000e+01 0.000000000e+00 6.6e+01 0.00
1 1.4e+01 1.1e+01 1.6e+01 -6.15e-01 2.989966122e+01 2.237646536e+01 1.5e+01 0.00
2 2.5e+00 1.9e+00 2.8e+00 -2.09e-01 6.375313458e+01 6.007943559e+01 2.5e+00 0.00
3 5.0e-02 3.7e-02 5.6e-02 5.58e-01 8.296137822e+01 8.278522436e+01 5.1e-02 0.00
4 5.2e-06 3.9e-06 5.8e-06 9.95e-01 8.333329447e+01 8.333327605e+01 5.3e-06 0.00
5 5.2e-10 3.9e-10 5.8e-10 1.00e+00 8.333333333e+01 8.333333333e+01 5.3e-10 0.00
Basis identification started.
Primal basis identification phase started.
Primal basis identification phase terminated. Time: 0.00
Dual basis identification phase started.
Dual basis identification phase terminated. Time: 0.00
Basis identification terminated. Time: 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:35 2020
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 8.3333333329e+01 nrm: 5e+01 Viol. con: 1e-09 var: 0e+00
Dual. obj: 8.3333333328e+01 nrm: 4e+00 Viol. con: 7e-12 var: 3e-10
Basic solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 8.3333333333e+01 nrm: 5e+01 Viol. con: 7e-15 var: 0e+00
Dual. obj: 8.3333333328e+01 nrm: 4e+00 Viol. con: 7e-12 var: 3e-10
Optimal solution:[0.0, 0.0, 15.0, 8.333333333333334]
File opened at Wed Oct 7 10:02:37 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 1
Cones : 2
Scalar variables : 6
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 1
Cones : 2
Scalar variables : 6
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 1
Optimizer - solved problem : the primal
Optimizer - Constraints : 1
Optimizer - Cones : 2
Optimizer - Scalar variables : 6 conic : 6
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.00 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.00
Factor - nonzeros before factor : 1 after factor : 1
Factor - dense dim. : 0 flops : 1.50e+01
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 1.0e+00 2.9e-01 3.4e+00 0.00e+00 2.414213562e+00 0.000000000e+00 1.0e+00 0.00
1 3.2e-01 9.4e-02 5.7e-01 8.92e-01 1.008045451e+00 1.977058134e-01 3.2e-01 0.00
2 4.2e-02 1.2e-02 2.1e-02 1.07e+00 8.133214360e-01 7.040214488e-01 4.2e-02 0.00
3 1.4e-04 4.0e-05 4.5e-06 9.91e-01 7.073449894e-01 7.070149491e-01 1.4e-04 0.00
4 1.3e-07 3.9e-08 1.4e-10 1.00e+00 7.071070138e-01 7.071066915e-01 1.3e-07 0.00
5 1.1e-13 2.1e-12 3.8e-20 1.00e+00 7.071067812e-01 7.071067812e-01 1.4e-14 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:37 2020
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 7.0710678119e-01 nrm: 1e+00 Viol. con: 1e-13 var: 0e+00 cones: 0e+00
Dual. obj: 7.0710678119e-01 nrm: 1e+00 Viol. con: 0e+00 var: 1e-12 cones: 0e+00
Optimal solution: [0.4999999999999294 0.4999999999999294 4.485219113873441e-14 0.7071067811864489 3.6476506515840025e-14 3.6476506515840025e-14]
File opened at Wed Oct 7 10:02:38 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : QO (quadratic optimization problem)
Constraints : 1
Cones : 0
Scalar variables : 3
Matrix variables : 0
Integer variables : 0
Optimizer started.
Quadratic to conic reformulation started.
Quadratic to conic reformulation terminated. Time: 0.00
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 1
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : QO (quadratic optimization problem)
Constraints : 1
Cones : 0
Scalar variables : 3
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 1
Optimizer - solved problem : the primal
Optimizer - Constraints : 1
Optimizer - Cones : 1
Optimizer - Scalar variables : 6 conic : 5
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.00 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.00
Factor - nonzeros before factor : 1 after factor : 1
Factor - dense dim. : 0 flops : 1.10e+01
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 1.0e+00 1.6e+00 2.4e+00 0.00e+00 1.414213562e+00 -1.414213562e+00 1.0e+00 0.00
1 1.5e-01 2.4e-01 2.1e-01 -2.36e-01 -1.596596332e+00 -1.959101433e+00 1.5e-01 0.00
2 3.3e-02 5.3e-02 1.9e-02 1.00e+00 -2.297756363e+00 -2.405373284e+00 3.3e-02 0.00
3 9.3e-03 1.5e-02 2.7e-03 1.13e+00 -2.449675563e+00 -2.478063087e+00 9.3e-03 0.00
4 2.5e-03 3.9e-03 3.6e-04 1.08e+00 -2.487463889e+00 -2.494731797e+00 2.5e-03 0.00
5 6.2e-04 9.9e-04 4.5e-05 1.05e+00 -2.496945341e+00 -2.498745555e+00 6.2e-04 0.00
6 1.5e-04 2.4e-04 5.3e-06 1.02e+00 -2.499263957e+00 -2.499701905e+00 1.5e-04 0.00
7 3.7e-05 5.8e-05 6.2e-07 1.01e+00 -2.499823308e+00 -2.499929012e+00 3.7e-05 0.00
8 8.8e-06 1.4e-05 7.3e-08 1.01e+00 -2.499957620e+00 -2.499983049e+00 8.8e-06 0.00
9 2.1e-06 3.3e-06 8.5e-09 1.00e+00 -2.499989834e+00 -2.499995942e+00 2.1e-06 0.00
10 5.0e-07 8.0e-07 1.0e-09 1.00e+00 -2.499997561e+00 -2.499999026e+00 5.0e-07 0.00
11 1.2e-07 1.9e-07 1.2e-10 1.00e+00 -2.499999414e+00 -2.499999766e+00 1.2e-07 0.00
12 2.9e-08 4.6e-08 1.4e-11 1.00e+00 -2.499999859e+00 -2.499999944e+00 2.9e-08 0.00
13 7.0e-09 1.1e-08 1.6e-12 1.00e+00 -2.499999966e+00 -2.499999986e+00 7.0e-09 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:38 2020
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: -2.4999999740e+00 nrm: 5e+00 Viol. con: 0e+00 var: 0e+00
Dual. obj: -2.4999999788e+00 nrm: 2e-04 Viol. con: 0e+00 var: 6e-08
Optimal solution:
[0.00016133088045071762, 4.999999952722166, 0.00016134591764015393]Optimal solution: [0.4487975147247647 0.9319237732449425 0.6741147039262658]
File opened at Wed Oct 7 10:02:39 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : max
Type : LO (linear optimization problem)
Constraints : 2
Cones : 0
Scalar variables : 2
Matrix variables : 0
Integer variables : 2
Optimizer started.
Mixed integer optimizer started.
Threads used: 1
Presolve started.
Presolve terminated. Time = 0.00
Presolved problem: 2 variables, 2 constraints, 4 non-zeros
Presolved problem: 2 general integer, 0 binary, 0 continuous
Clique table size: 0
BRANCHES RELAXS ACT_NDS DEPTH BEST_INT_OBJ BEST_RELAX_OBJ REL_GAP(%) TIME
0 0 1 0 5.0000000000e+00 NA NA 0.0
0 1 1 0 5.0000000000e+00 2.8891191710e+01 477.82 0.0
0 1 1 0 2.4120000000e+01 2.8891191710e+01 19.78 0.0
Cut generation started.
0 1 1 0 2.4120000000e+01 2.8891191710e+01 19.78 0.0
0 2 1 0 2.4120000000e+01 2.4333333333e+01 0.88 0.0
Cut generation terminated. Time = 0.00
Objective of best integer solution : 2.412000000000e+01
Best objective bound : 2.412000000000e+01
Construct solution objective : Not employed
User objective cut value : Not employed
Number of cuts generated : 3
Number of Gomory cuts : 3
Number of branches : 0
Number of relaxations solved : 4
Number of interior point iterations: 5
Number of simplex iterations : 2
Time spend presolving the root : 0.00
Time spend optimizing the root : 0.00
Mixed integer optimizer terminated. Time: 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:39 2020
Integer solution solution summary
Problem status : PRIMAL_FEASIBLE
Solution status : INTEGER_OPTIMAL
Primal. obj: 2.4120000000e+01 nrm: 2e+02 Viol. con: 0e+00 var: 0e+00 itg: 0e+00
Optimal solution: [3.0 33.0]
File opened at Wed Oct 7 10:02:40 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 2
Cones : 1
Scalar variables : 3
Matrix variables : 1
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 2
Cones : 1
Scalar variables : 3
Matrix variables : 1
Integer variables : 0
Optimizer - threads : 1
Optimizer - solved problem : the primal
Optimizer - Constraints : 2
Optimizer - Cones : 1
Optimizer - Scalar variables : 2 conic : 2
Optimizer - Semi-definite variables: 1 scalarized : 6
Factor - setup time : 0.00 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.00
Factor - nonzeros before factor : 3 after factor : 3
Factor - dense dim. : 0 flops : 2.71e+02
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 3.0e+00 1.0e+00 8.0e+00 0.00e+00 7.000000000e+00 0.000000000e+00 1.0e+00 0.00
1 4.3e-01 1.4e-01 5.7e-01 1.67e-01 1.601234159e+00 3.103213078e-01 1.4e-01 0.00
2 6.7e-02 2.2e-02 3.1e-02 1.21e+00 8.539144622e-01 6.725314600e-01 2.2e-02 0.00
3 3.2e-03 1.1e-03 3.1e-04 1.02e+00 7.122612944e-01 7.034920749e-01 1.1e-03 0.00
4 4.8e-05 1.6e-05 5.7e-07 1.00e+00 7.058178485e-01 7.056876071e-01 1.6e-05 0.00
5 2.1e-06 7.1e-07 5.4e-09 1.00e+00 7.057156602e-01 7.057098612e-01 7.1e-07 0.00
6 7.8e-08 2.6e-08 3.7e-11 1.00e+00 7.057106855e-01 7.057104742e-01 2.6e-08 0.00
7 1.0e-09 3.7e-10 5.8e-14 1.00e+00 7.057104927e-01 7.057104899e-01 3.5e-10 0.00
Optimizer terminated. Time: 0.00
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Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:40 2020
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 7.0571049270e-01 nrm: 1e+00 Viol. con: 1e-09 var: 0e+00 barvar: 0e+00 cones: 0e+00
Dual. obj: 7.0571048985e-01 nrm: 1e+00 Viol. con: 0e+00 var: 1e-13 barvar: 4e-10 cones: 0e+00
Optimal solution:
xx = [0.25440485111802236 0.1798913951139637 0.1798913951139637]
barx = [0.21725335998062315 -0.25997116466129777 0.21725335966511045 0.3110884301498407 -0.2599711646612966 0.21725335998062129]
File opened at Wed Oct 7 10:02:41 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 1
Cones : 1
Scalar variables : 3
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 1
Cones : 1
Scalar variables : 3
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 1
Optimizer - solved problem : the primal
Optimizer - Constraints : 1
Optimizer - Cones : 1
Optimizer - Scalar variables : 3 conic : 3
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.00 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.00
Factor - nonzeros before factor : 1 after factor : 1
Factor - dense dim. : 0 flops : 7.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.7e-01 8.3e-01 3.1e+00 0.00e+00 2.096029711e+00 0.000000000e+00 1.0e+00 0.00
1 6.3e-02 1.9e-01 3.2e-01 1.73e+00 8.644052348e-01 5.255895483e-01 2.3e-01 0.00
2 2.9e-03 9.0e-03 3.2e-03 1.07e+00 7.922638650e-01 7.772471341e-01 1.1e-02 0.00
3 1.4e-05 4.3e-05 1.1e-06 9.99e-01 7.822480113e-01 7.821793793e-01 5.2e-05 0.00
4 1.8e-09 5.6e-09 1.4e-12 1.00e+00 7.821883024e-01 7.821882919e-01 6.7e-09 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:41 2020
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 7.8218830243e-01 nrm: 1e+00 Viol. con: 1e-09 var: 0e+00 cones: 0e+00
Dual. obj: 7.8218829186e-01 nrm: 8e-01 Viol. con: 0e+00 var: 4e-09 cones: 0e+00
Optimal solution: (x1,x2,x3)=([0.6117882543880403, 0.17040004803746528, 0.21781169885758184])
Solution is on boundary: x1-x2*exp(x3/x2)=1.6991074103245296e-8
File opened at Wed Oct 7 10:02:41 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 1
Cones : 2
Scalar variables : 6
Matrix variables : 0
Integer variables : 0
Optimizer started.
MOSEK warning 933: 1 power cones have at least one of the root variables fixed at zero.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.00
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 1
Cones : 2
Scalar variables : 6
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 1
Optimizer - solved problem : the primal
Optimizer - Constraints : 1
Optimizer - Cones : 2
Optimizer - Scalar variables : 6 conic : 6
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.00 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.00
Factor - nonzeros before factor : 1 after factor : 1
Factor - dense dim. : 0 flops : 1.10e+01
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 1.3e+00 2.1e+00 9.5e-02 0.00e+00 -1.095445115e+00 0.000000000e+00 1.0e+00 0.00
1 2.2e-01 3.6e-01 6.7e-03 6.02e-01 -1.930395831e+00 -1.743884212e+00 1.7e-01 0.00
2 1.8e-02 2.9e-02 1.6e-04 9.61e-01 -2.106977121e+00 -2.090607874e+00 1.4e-02 0.00
3 1.0e-03 1.7e-03 2.3e-06 1.00e+00 -2.125687974e+00 -2.124745640e+00 8.2e-04 0.00
4 1.8e-05 3.0e-05 5.4e-09 1.00e+00 -2.127819926e+00 -2.127803318e+00 1.5e-05 0.00
5 4.6e-08 7.7e-08 6.8e-13 1.00e+00 -2.127867706e+00 -2.127867664e+00 3.7e-08 0.00
6 2.4e-11 4.0e-11 8.2e-18 1.00e+00 -2.127867837e+00 -2.127867837e+00 1.9e-11 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:41 2020
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: -2.1278678375e+00 nrm: 2e+00 Viol. con: 2e-11 var: 0e+00 cones: 1e-11
Dual. obj: -2.1278678375e+00 nrm: 2e+00 Viol. con: 0e+00 var: 2e-11 cones: 0e+00
Optimal solution: [1.6124219097822905, 0.3875780901821424, 1.1314566121728605e-10, -0.5154459276845801, -2.944218121403931e-11, 0.0]
File opened at Wed Oct 7 10:02:42 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Reading terminated. Time: 0.00
Problem
Name :
Objective sense : max
Type : LO (linear optimization problem)
Constraints : 2
Cones : 0
Scalar variables : 2
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 0 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.00
Optimizer terminated. Time: 0.00
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:42 2020
Basis variable no 1 is xc1
Basis variable no 2 is x0
nz = 2
Solution to Bx = [-4.0, 2.0]
xc 1 = -4.0
x0 = 2.0
2
Solution to B^Tx = [1.0, -1.0]
xc1 = 1.0x0 = -1.0MOSEK warning 705: #1 (nearly) zero elements are specified in sparse row 'GT[2]'(2) of matrix 'A'.
MOSEK warning 705: #2 (nearly) zero elements are specified in sparse row 'GT[3]'(3) of matrix 'A'.
File opened at Wed Oct 7 10:02:43 2020 by MOSEK version 9.2.25.
Read file: <filename>
Reading started.
Write solution file: <filename>
Write solution file: <filename>
Write solution file: <filename>
File closed: Wed Oct 7 10:02:43 2020
------------------------------------------------------------
Expected return 0.07828186943838833 for gamma 0.05
Optimal investment: [0.23076574098603947, 0.4808833991282686, 0.2883508598856919]
------------------------------------------------------------
Initial solution:
Chairs : 0.0
Tables : 16000.0
Beds : 6000.0
After modified coefficient:
Chairs : 0.0
Tables : 16000.0
Beds : 6000.0
After added product (column):
Chairs : 0.0
Tables : 12142.9
Beds : 8571.4
Cutting_board : 6428.6
After added process (row):
Chairs : 0.0
Tables : 10000.0
Beds : 10000.0
Cutting_board : 7500.0
Final solution: [2.0, 2.0, 20.0, 0.0]
Test Summary: |
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Test Summary: | Pass Total
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Testing Mosek tests passed