MacMOOP
This page contains Sven's small collection or multiobjective testproblems. All models are written in AMPL.
Multiobjective Testproblems
The following table gives the name of the testproblem, the AMPL model and data file (if applicable), and the problem characteristics (where n-m-q are the number of variables, constraints and objectives respectively).
| Testproblem | AMPL Model File | AMPL Data File | Characteristitcs (n-m-q) |
|---|---|---|---|
| ABC-comp | ABC-comp.mod | 2-3-2 | |
| ex001 | ex001.mod | 5-3-2 | |
| ex002 | ex002.mod | 5-2-2 | |
| ex003 | ex003.mod | 5-2-2 | |
| ex004 | ex004.mod | 2-3-2 | |
| ex005 | ex005.mod | 2-0-2 | |
| hs05x | hs05x.mod | 5-3-3 | |
| liswetm | liswetm.mod | 7-5-2 | |
| MOLPg-1 | MOLPg.mod | MOLPg-001.dat | 8-8-3 |
| MOLPg-2 | MOLPg.mod | MOLPg-002.dat | 12-16-3 |
| MOLPg-3 | MOLPg.mod | MOLPg-003.dat | 10-14-3 |
| MOQP-1 | MOQP.mod | moqp-001.dat | 20-10-3 |
| MOQP-2 | MOQP.mod | moqp-002.dat | 20-10-3 |
| MOQP-3 | MOQP.mod | moqp-003.dat | 20-10-3 |
Formulations with Complementarity Constraints
The following table gives the AMPL models for the formulation of the MOOPs as mathematical programs with complementarity constraints (MPCCs). The MPCC models are derived in this technical report.
| Testproblem | Convex Combination | Convex Combination (2) | GOAL Programming | AMPL Data File |
|---|---|---|---|---|
| ABC-comp | ABC-comp-SUMe.mod | ABC-comp-SUM1e.mod | ABC-comp-GOALe.mod | |
| ex001 | ex001-SUMe.mod | ex001-SUM1e.mod | ex001-GOAL.mod | |
| ex002 | ex002-SUMe.mod | ex002-SUM1e.mod | ex002-GOAL.mod | |
| ex003 | ex003-SUMe.mod | ex003-SUM1e.mod | ex003-GOAL.mod | |
| ex004 | ex004-SUMe.mod | ex004-SUM1e.mod | ex004-GOAL.mod | |
| ex005 | ex005-SUMe.mod | ex005-SUM1e.mod | ex005-GOAL.mod | |
| hs05x | hs05x-SUMe.mod | hs05x-SUM1e.mod | hs05x-GAL.mod | |
| liswetm | liswetm-SUMe.mod | liswetm-SUM1e.mod | liswetm-GOALe.mod | |
| MOLPg-1 | MOLPg-SUMe.mod | MOLPg-SUM1e.mod | MOLPg-GOALe.mod | MOLPg-001.dat |
| MOLPg-2 | MOLPg-SUMe.mod | MOLPg-SUM1e.mod | MOLPg-GOALe.mod | MOLPg-002.dat |
| MOLPg-3 | MOLPg-SUMe.mod | MOLPg-SUM1e.mod | MOLPg-GOALe.mod | MOLPg-003.dat |
| MOQP-1 | MOQP-SUMe.mod | MOQP-SUM1e.mod | MOQP-GOALe.mod | moqp-001.dat |
| MOQP-2 | MOQP-SUMe.mod | MOQP-SUM1e.mod | MOQP-GOALe.mod | moqp-002.dat |
| MOQP-3 | MOQP-SUMe.mod | MOQP-SUM1e.mod | MOQP-GOALe.mod | moqp-003.dat |
Random MOOP Generator in MATLAB
We also provide a random MOOP generator written in matlab.