dws008-03

decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Philipp Leise 32280 16344 3.13065e-04 open dws 62831.763297* dws008-03.mps.gz

MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 32280 32273
Constraints 16344 16272
Binaries 18928 18924
Integers 0 0
Continuous 13352 13349
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000313065 0.000314213
Nonzeroes 165168 165008
Constraint Classification Properties
Original Presolved
Total 16344 16272
Empty 0 0
Free 0 0
Singleton 52 0
Aggregations 0 0
Precedence 420 417
Variable Bound 1232 1223
Set Partitioning 280 280
Set Packing 28 28
Set Covering 84 0
Cardinality 0 0
Invariant Knapsack 0 84
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 14248 14240
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 2.404834
Constraint % 0.301131 0.352408 0.301131 13.27430
Variable % 0.374880 0.392122 0.374880 4.73712
Score 0.882460

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 62831.76 62831.76 0 8e-07 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dws008-03 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
dws012-02 open 51108 30096 0 21012 26382 261120 Philipp Leise dws 126211.9341071* aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-03 open 76068 44616 0 31452 38484 389304 Philipp Leise dws 148877.4171892* precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-01 open 26148 15576 0 10572 14280 132936 Philipp Leise dws 82030.55222224* decomposition precedence variable_bound set_partitioning set_packing mixed_binary
dws008-01 hard 11096 6608 0 4488 6064 56400 Philipp Leise dws 37412.604588 benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing mixed_binary
neos2 easy 2101 1040 0 1061 1103 7326 NEOS Server Submission neos-pseudoapplication-93 454.86469703 decomposition benchmark_suitable precedence variable_bound set_partitioning mixed_binary

Reference

@inproceedings{AltherrPelzIREC2016, 
author = "Altherr, Lena C. and Wolf, Jan and Ederer, Thorsten and Leise, Philipp and Pelz, Peter F.", 
title="Algorithmic Design of an Optimal Water Supply System with TOR",
year="2016",
booktitle={3rd International Rotating Equipment Conference}
}

Last Update Jun 24, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint