csched008

benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Tallys Yunes 1536 351 1.05484e-02 easy csched 173 csched008.mps.gz

Cumulative scheduling problem instance Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1536 1535
Constraints 351 308
Binaries 1284 1284
Integers 0 50
Continuous 252 201
Implicit Integers 0 50
Fixed Variables 0 0
Nonzero Density 0.0105484 0.0118469
Nonzeroes 5687 5601
Constraint Classification Properties
Original Presolved
Total 351 308
Empty 0 0
Free 0 0
Singleton 1 0
Aggregations 10 11
Precedence 50 0
Variable Bound 0 8
Set Partitioning 50 50
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 240 189
General Linear 0 50
Indicator 0 0

Structure

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

value min median mean max
Components 1.653213
Constraint % 0.649351 0.878099 0.649351 7.79221
Variable % 0.586319 1.994370 1.661240 16.48210
Score 0.368651

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
2 173 173 0 0 0 - 2018-10-29 Solution imported from MIPLIB2010.
1 173 173 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to csched008 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
csched007 easy 1758 1457 0 301 351 6379 Tallys Yunes csched 350.9999999999955 benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear
csched010 easy 1758 1457 0 301 351 6376 Tallys Yunes csched 407.999999999994 benchmark_suitable aggregations variable_bound set_partitioning general_linear
neos-5182409-nasivi easy 2005 1600 0 405 580 14884 Jeff Linderoth neos-pseudoapplication-32 301.99999992 benchmark_suitable aggregations set_partitioning set_packing invariant_knapsack mixed_binary general_linear
ic97_tension easy 703 176 4 523 319 2070 MIPLIB submission pool 3942 benchmark_suitable aggregations mixed_binary general_linear
neos-691058 easy 3006 1755 0 1251 2667 30837 NEOS Server Submission neos-pseudoapplication-110 296.999999999986 benchmark_suitable set_partitioning cardinality mixed_binary

Reference

@misc{Yunes2009,
 author = {T. Yunes},
 note = {http://moya.bus.miami.edu/~tallys/cusplib/},
 title = {{CuSPLIB} 1.0: A Library of Single-Machine Cumulative Scheduling
Problems},
 year = {2009}
}

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