MacMINLP

This page contains a collection of Mixed Integer Nonlinear Programming (MINLP) test problems in AMPL. A student version of AMPL is available for free which can handle problems with up to 300 variables or constraints.

The integer variables, Special Ordered Sets and priorities are specified through an int file. Note that the int file is not required by default as AMPL allows the definition of integer variables.

In the Table below, the following column headings are used:

heading	meaning
NAME	the name of the problem, click for a short reference
mod file	the corresponding ampl model file
dat file	the corresponding ampl data file
int file	the corresponding [int_format integer file]
CUTE classification	Classification as Nonlinear Program (NLP)
#int	the number of integer variables
convex	(Y/N) depending on whether the problem is convex or not; (Y*=pseudo-convex)
f(x)	objective value of NLP relaxation
f(x*)	optimal objective value or best solution found

The collection is available as a single [MacMINLP.tar.gz tar file] (simply gunzip and tar xf the file) or as individual problems below or as a [MacMINLP.nl.tar.gz collection of stub.nl files] which can be interpreted by an AMPL solver interface and do not require the AMPL itself. A file with the MINLP AMPL commands used to run the problems is also available.

Click on the NAME of the problem for a short description. The complete list of descriptions can be found in the MINLP Comments. Finally, a list of updates and changes to the AMPL files and the int files is MINLP Updates.

MacMINLP: ampl collection of MINLP Test Problems

NAME	mod file	dat file	int file	CUTE classification	#int	convex	f(x)	f(x*)
batch	batch.mod	n/a	batch.int	OOR2-AN-46-73	24	Y	259180	285507
c-reload-14a	c-reload.mod	c-reload-14a.dat	c-reload.int	OOR2-AN-342-308	168	N	-1.00752	-1.00743
c-reload-14b	c-reload.mod	c-reload-14b.dat	c-reload.int	LOR2-AN-342-308	168	N	-1.0253	-1.02522
c-reload-14c	c-reload.mod	c-reload-14c.dat	c-reload.int	LOR2-AN-342-308	168	N	-0.99595	-0.99988
c-reload-14d	c-reload.mod	c-reload-14d.dat	c-reload.int	LOR2-AN-342-308	168	N	-1.0340	-1.03405
c-reload-14e	c-reload.mod	c-reload-14e.dat	c-reload.int	LOR2-AN-342-308	168	N	-1.0326	-1.03306
c-reload-14f	c-reload.mod	c-reload-14f.dat	c-reload.int	LOR2-AN-342-308	168	N	-1.0172	-1.01784
c-reload-q-24	c-reload-q.mod	c-reload-q-24.dat	n/a	LOR2-AN-968-632	576	N	-1.12795	-1.12795
c-reload-q-25	c-reload-q.mod	c-reload-q-25.dat	n/a	LOR2-AN-1033-658	625	N	?	?
c-reload-q-49	c-reload-q.mod	c-reload-q-49.dat	n/a	LOR2-AN-3292-1430	2401	N	?	?
c-reload-q-104	c-reload-q.mod	c-reload-q-104.dat	n/a	LOR2-AN-12906-3338	10816	N	?	?
c-sched1	c-sched.mod	c-sched1.dat	c-sched1.int	OLR2-AN-73-16	60	Y*	-30640.6	-30639.3
c-sched2	c-sched.mod	c-sched2.dat	c-sched2.int	OLR2-AN-400-137	308	Y*	-166247	-166102
feedloc	feedloc.mod	n/a	feedloc.int	LOR2-AN-90-259	37	N	0.0	0.0
geartrain	geartrain.mod	n/a	n/a	OBR2-AN-4-0	4	Y	9.23355E-11	7.77863E-07
lbti-00-15	lbti-00.mod	lbti-00-15.dat	n/a	OOR2-AN-274-402	169	N	?	0.988
lbti-00-20	lbti-00.mod	lbti-00-20.dat	n/a	OOR2-AN-274-402	169	N	?	0.988
lbti-00-40	lbti-00.mod	lbti-00-40.dat	n/a	OOR2-AN-274-402	169	N	?	0.988
lbti-01-15	lbti-01.mod	lbti-01-15.dat	n/a	OOR2-AN-334-502	229	N	?	0.983
lbti-01-20	lbti-01.mod	lbti-01-20.dat	n/a	OOR2-AN-334-502	229	N	?	0.983
lbti-01-40	lbti-01.mod	lbti-01-40.dat	n/a	OOR2-AN-334-502	229	N	?	0.983
lbti-02-297	lbti-02.mod	lbti-02-297.dat	n/a	QOR2-AN-7101-13004	6702	N	?	1.21
mittelman	mittelman.mod	n/a	n/a	OOR2-AN-16-7	16	N	5.02361	13.0000
optprloc	optprloc.mod	n/a	n/a	QQR2-AN-30-29	25	Y	-16.4198	-8.06414
space-25	space-25.mod	space-25.dat	space-25.int	LQR2-AN-893-235	750	N	483.811	484.329
space-25-r	space-25-r.mod	space-25-r.dat	space-25.int	LQR2-AN-818-160	750	N	483.811	484.329
space-960	space-960.mod	space-960.dat	space-960.int	LQR2-AN-15137-8417	9600	N	?	?
space-960-i	space-960-i.mod	space-960-i.dat	n/a	LQR2-AN-5537-6497	960	N	?	?
space-960-ir	space-960-ir.mod	space-960-ir.dat	n/a	LQR2-AN-2657-3617	960	N	?	?
space-960-r	space-960-r.mod	space-960-r.dat	space-960.int	LQR2-AN-12257-5537	9600	N	?	?
spring	spring.mod	n/a	spring.int	OOR2-AN-17-10	11	N	0.832025	0.846246
stockcycle	stockcycle.mod	n/a	stockcycle.int	OLR2-AN-480-97	480	Y	117916	121113 ?
synthes1	synthes1.mod	n/a	n/a	OOR2-AN-6-6	3	Y	0.759284	6.00976
synthes2	synthes2.mod	n/a	n/a	OOR2-AN-11-14	5	Y	-0.554417	73.0353
synthes3	synthes3.mod	n/a	n/a	OOR2-AN-17-19	8	Y	15.0822	68.0097
top1-15x05	top.mod	top1-15x05.dat	top.scl	OQR2-MN-260-186	75	N	203.343	NLP fail
top1-30x10	top.mod	top1-30x10.dat	top.scl	OQR2-MN-970-671	300	N	202.92	?
top1-60x20	top.mod	top1-60x20.dat	top.scl	OQR2-MN-3740-2541	1200	N	?	?
trimlon2	trimlon.mod	trimlon2.dat	trimlon.int	LOR2-AN-8-12	8	N	4.06375	5.3
trimlon4	trimlon.mod	trimlon4.dat	trimlon.int	LOR2-MN-24-26	24	N	7.66333	11.3
trimlon5	trimlon.mod	trimlon5.dat	trimlon.int	LOR2-MN-35-33	35	N	9.664	12.1
trimlon6	trimlon.mod	trimlon6.dat	trimlon.int	LOR2-MN-48-41	48	N	14.6913	19.4
trimlon7	trimlon.mod	trimlon7.dat	trimlon.int	LOR2-MN-63-42	63	N	13.6507	?
trimlon12	trimlon.mod	trimlon12.dat	trimlon.int	LOR2-MN-168-72	168	N	85.3546	?
trimloss2	trimloss.mod	trimloss2.dat	trimloss2.int	LOR2-AN-37-24	31	Y	0.718306	5.3
trimloss4	trimloss.mod	trimloss4.dat	trimloss4.int	LOR2-MN-105-64	85	Y	1.70933	9.3
trimloss5	trimloss.mod	trimloss5.dat	trimloss5.int	LOR2-MN-161-90	131	Y	1.1788683	10.3
trimloss6	trimloss.mod	trimloss6.dat	trimloss6.int	LOR2-MN-215-120	173	Y	1.30565	?
trimloss7	trimloss.mod	trimloss7.dat	trimloss7.int	LOR2-MN-345-154	289	Y	0.593496	?
trimloss12	trimloss.mod	trimloss12.dat	trimloss12.int	LOR2-MN-800-372	656	Y	2.31187	?
wind-fac	wind-fac.mod	n/a	n/a	LOR2-AN-15-14	3	N	0.118262	0.254487