pg

benchmark decomposition benchmark_suitable mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
M. Dawande 2700 125 1.54074e-02 easy -8674.34260712 pg.mps.gz

Multiproduct partial shipment model

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2700 2700
Constraints 125 125
Binaries 100 100
Integers 0 0
Continuous 2600 2600
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0154074 0.0154074
Nonzeroes 5200 5200
Constraint Classification Properties
Original Presolved
Total 125 125
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 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 125 125
General Linear 0 0
Indicator 0 0

Structure

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

value min median mean max
Components 2.004321
Constraint % 0.8 0.8 0.8 0.8
Variable % 1.0 1.0 1.0 1.0
Score 0.792000

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 -8674.343 -8674.343 0 8e-07 1e-07 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to pg 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
pg5_34 easy 2600 100 0 2500 225 7700 M. Dawande -14339.35345 benchmark decomposition benchmark_suitable mixed_binary
nh97_potential easy 1180 630 328 222 1916 5748 MIPLIB submission pool 1418 benchmark_suitable mixed_binary general_linear
fhnw-schedule-paira100 open 5150 5050 0 100 10000 29873 Simon Felix schedule -14.22603538084* variable_bound mixed_binary
fhnw-schedule-paira200 open 20300 20100 0 200 40000 119746 Simon Felix schedule -12.68192530688* variable_bound mixed_binary
fhnw-schedule-paira400 open 80600 80200 0 400 160000 479504 Simon Felix schedule -11.31802146869* variable_bound mixed_binary

Reference

@article{DawandeGavirneniTayur2006,
 author = {M. Dawande and S. Gavirneni and S. Tayur},
 instance = {pg,pg5_34},
 journal = {Operations Research},
 language = {English},
 number = {2},
 pages = {337--352},
 title = {Effective Heuristics for Multiproduct Partial Shipment Models},
 volume = {54},
 year = {2006}
}

Last Update Jul 31, 2019 by Gregor Hendel
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