physiciansched6-1

decomposition benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Pelin Damci-Kurt	126204	175664	2.44524e-05	easy	physiciansched	28500.99999	physiciansched6-1.mps.gz

Physician scheduling problem for hospitalist, radiology and kidney specialist groups.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	126204	42174
Constraints	175664	47097
Binaries	104778	22233
Integers	0	1
Continuous	21426	19940
Implicit Integers	0	1
Fixed Variables	1477	0
Nonzero Density	2.44524e-05	7.79547e-05
Nonzeroes	542098	154839

Constraint Classification Properties
	Original	Presolved
Total	175664	47097
Empty	9195	0
Free	0	0
Singleton	10968	0
Aggregations	0	0
Precedence	35617	23287
Variable Bound	59254	9568
Set Partitioning	0	0
Set Packing	110	105
Set Covering	83	1146
Cardinality	0	0
Invariant Knapsack	13392	2150
Equation Knapsack	0	0
Bin Packing	17587	6313
Knapsack	5252	22
Integer Knapsack	0	0
Mixed Binary	24206	4496
General Linear	0	10
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	2.267172
Constraint %		0.00212	0.451981	0.0159246	3.75608
Variable %		0.00362	0.224513	0.0108597	1.91131
Score	0.823899

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	28501	28501	2e-07	1.19e-05	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to physiciansched6-1 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
physiciansched6-2	easy	111827	109346	0	2481	168336	480259	Pelin Damci-Kurt	physiciansched	49324	benchmark decomposition benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking knapsack mixed_binary
neos-4391920-timok	easy	93846	93786	0	60	184575	585839	Jeff Linderoth	neos-pseudoapplication-106	0.00545540819999822	benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary
piperout-27	easy	11659	11514	121	24	18442	54662	Gleb Belov	piperout	8123.999999999973	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack equation_knapsack integer_knapsack mixed_binary general_linear
diameterc-mstc-v20a190d5i	easy	10613	5053	4352	1208	19686	38503	Gleb Belov	diameterc	414	indicator numerics aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack mixed_binary general_linear
neos-4359986-taipa	easy	25130	25095	0	35	48864	126561	Jeff Linderoth	neos-pseudoapplication-106	69.79999999999997	benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary

Reference

No bibliographic information available