pb-fit2d

binary decomposition benchmark_suitable equation_knapsack binpacking knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Gleb Belov	118500	10525	1.26328e-03	easy	pb-	-20425	pb-fit2d.mps.gz

These are the instances from MiniZinc Challenges 2012-2016 (see www.minizinc.org), compiled for MIP WITH INDICATOR CONSTRAINTS using the develop branch of MiniZinc and CPLEX 12.7.1 on 30 April 2017. Thus, these instances can only be handled by solvers accepting indicator constraints. For instances compiled with big-M/domain decomposition only, see my previous submission to MIPLIB. To recompile, create a directory MODELS, a list lst12_16.txt of the instances with full paths to mzn/dzn files of each instance per line, and say $> ~/install/libmzn/tests/benchmarking/mzn-test.py -l ../lst12_16.txt –slvPrf MZN-CPLEX –debug 1 –addOption “–timeout 3 -D fIndConstr=true -D fMIPdomains=false” –useJoinedName “–writeModel MODELS_IND/%s.mps” Alternatively, you can compile individual instance as follows: $> mzn-cplex -v -s -G linear –output-time ../challenge_2012_2016/mznc2016_probs/zephyrus/zephyrus.mzn ../challenge_2012_2016/mznc2016_p/zephyrus/14__8__6__3.dzn -a –timeout 3 -D fIndConstr=true -D fMIPdomains=false –writeModel MODELS_IND/challenge_2012_2016mznc2016_probszephyruszephyrusmzn-challenge_2012_2016mznc2016_probszephyrus14__8__6__3dzn.mps Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	118500	118500
Constraints	10525	10525
Binaries	118500	118500
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00126328	0.00126328
Nonzeroes	1575580	1575580

Constraint Classification Properties
	Original	Presolved
Total	10525	10525
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	1	1
Bin Packing	0	10500
Knapsack	0	24
Integer Knapsack	0	0
Mixed Binary	10524	0
General Linear	0	0
Indicator	0	0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	4.021231
Constraint %		0.00950	0.00950	0.00950	0.0095000
Variable %		0.00844	0.00952	0.00928	0.0118143
Score	0.997530

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	-20425	-20425	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pb-fit2d in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance	Status	Variables	Binaries	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-787933	easy	236376	236376	0	1897	298320	NEOS Server Submission	neos-pseudoapplication-36	30	benchmark binary decomposition benchmark_suitable binpacking mixed_binary
co-100	easy	48417	48417	0	2187	1995817	Axel Werner	–	2639942.06	benchmark binary benchmark_suitable precedence set_partitioning set_packing binpacking knapsack
neos-2328163-agri	easy	2236	2236	0	1963	12740	Jeff Linderoth	neos-pseudoapplication-36	27674	binary decomposition benchmark_suitable set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack
peg-solitaire-a3	easy	4552	4552	0	4587	28387	Hiroshige Dan ; Koichi Fujii	pegsolitaire	1	benchmark binary benchmark_suitable aggregations variable_bound set_partitioning cardinality binpacking
neos-4355351-swalm	open	21065	10530	10535	21609	371467	Jeff Linderoth	neos-pseudoapplication-58	33.45757454008309*	variable_bound binpacking mixed_binary

Reference

No bibliographic information available