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	[ex002.mod 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-0001.dat moqp-001.dat]	20-10-3
MOQP-2	MOQP.mod	[moqp-0002.dat moqp-002.dat]	20-10-3
MOQP-3	MOQP.mod	[moqp-0003.dat 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 [../papers/moop-01.pdf 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-GOALe.mod ex001-GOAL.mod]
ex002	ex002-SUMe.mod	ex002-SUM1e.mod	[ex002-GOALe.mod ex002-GOAL.mod]
ex003	ex003-SUMe.mod	ex003-SUM1e.mod	[ex003-GOALe.mod ex003-GOAL.mod]
ex004	ex004-SUMe.mod	ex004-SUM1e.mod	[ex004-GOALe.mod ex004-GOAL.mod]
ex005	ex005-SUMe.mod	ex005-SUM1e.mod	[ex005-GOALe.mod ex005-GOAL.mod]
hs05x	hs05x-SUMe.mod	hs05x-SUM1e.mod	[hs05x-GOALe.mod hs05x-GAL.mod]
liswetm	[liswetm-SUMe.mod liswetm-][liswetm-SUMe.mod SUMe.mod]	[liswetm-SUM1e.mod liswetm][liswetm-SUM1e.mod -SUM1e.mod]	[liswetm-GOALe.mod liswetm][liswetm-GOALe.mod -GOALe.mod]
MOLPg-1	[MOLPg-SUMe.mod MOLPg-][MOLPg-SUMe.mod SUMe.mod]	[MOLPg-SUM1e.mod MOLPg-][MOLPg-SUM1e.mod SUM1e.mod]	[MOLPg-GOALe.mod MOLPg-][MOLPg-GOALe.mod GOALe.mod]	MOLPg-001.dat
MOLPg-2	[MOLPg-SUMe.mod MOLPg-][MOLPg-SUMe.mod SUMe.mod]	[MOLPg-SUM1e.mod MOLPg-][MOLPg-SUM1e.mod SUM1e.mod]	[MOLPg-GOALe.mod MOLPg-][MOLPg-GOALe.mod GOALe.mod]	MOLPg-002.dat
MOLPg-3	[MOLPg-SUMe.mod MOLPg-][MOLPg-SUMe.mod SUMe.mod]	[MOLPg-SUM1e.mod MOLPg-][MOLPg-SUM1e.mod SUM1e.mod]	[MOLPg-GOALe.mod MOLPg-][MOLPg-GOALe.mod GOALe.mod]	MOLPg-003.dat
MOQP-1	[MOLPg-SUMe.mod MOQP-SUMe.mod]	[MOLPg-SUM1e.mod MOQP-SUM1e.mod]	MOQP-GOALe.mod	[moqp-0001.dat moqp-001.dat]
MOQP-2	[MOLPg-SUMe.mod MOQP-SUMe.mod]	[MOLPg-SUM1e.mod MOQP-SUM1e.mod]	MOQP-GOALe.mod	[moqp-0002.dat moqp-002.dat]
MOQP-3	[MOLPg-SUMe.mod MOQP-SUMe.mod]	[MOLPg-SUM1e.mod MOQP-SUM1e.mod]	MOQP-GOALe.mod	[moqp-0003.dat moqp-003.dat]

3. Random MOOP Generator in MATLAB

The random MOOP generator written in matlab can be found [moqpgen.m here].