pk1

benchmark benchmark_suitable precedence mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	86	45	2.36434e-01	easy	–	11	pk1.mps.gz

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	86	86
Constraints	45	45
Binaries	55	55
Integers	0	0
Continuous	31	31
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.236434	0.236434
Nonzeroes	915	915

Constraint Classification Properties
	Original	Presolved
Total	45	45
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	30	30
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	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	15	15
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	0.301030
Constraint %		66.6667	66.6667	66.6667	66.6667
Variable %		36.0465	36.0465	36.0465	36.0465
Score	0.426357

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	11	11	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pk1 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	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
acc-tight4	easy	1620	1620	0	0	3285	17073	J. Walser	acc-tight	0	binary benchmark_suitable precedence set_partitioning set_packing set_covering cardinality invariant_knapsack mixed_binary
neos-1330346	easy	2664	2664	0	0	4248	13032	NEOS Server Submission	neos-pseudoapplication-49	8	binary decomposition benchmark_suitable aggregations precedence variable_bound cardinality
gus-sch	easy	5475	2736	2736	3	5984	33135	Alexandra M. Newman	–	-1167	decomposition aggregations precedence variable_bound set_packing set_covering cardinality invariant_knapsack integer_knapsack mixed_binary general_linear
acc-tight5	easy	1339	1339	0	0	3052	16134	J. Walser	acc-tight	0	binary benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack mixed_binary
qiu	easy	840	48	0	792	1192	3432	Y. Chiu, J. Eckstein	–	-132.87313695	benchmark_suitable precedence variable_bound mixed_binary

Reference

No bibliographic information available