dws012-01

decomposition precedence variable_bound set_partitioning set_packing mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Philipp Leise 26148 14280 3.56021e-04 open dws 82030.55222224* dws012-01.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 26148 25819
Constraints 14280 13541
Binaries 15576 15248
Integers 0 0
Continuous 10572 10571
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000356021 0.000374661
Nonzeroes 132936 130987
Constraint Classification Properties
Original Presolved
Total 14280 13541
Empty 0 0
Free 0 0
Singleton 144 0
Aggregations 0 0
Precedence 660 723
Variable Bound 1980 1391
Set Partitioning 198 198
Set Packing 66 66
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 11232 11163
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 2.301030
Constraint % 0.361864 0.451077 0.361864 18.11540
Variable % 0.467416 0.497349 0.467416 6.42407
Score 0.882658

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 82030.55 82030.55 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dws012-01 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
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
dws008-03 open 32280 18928 0 13352 16344 165168 Philipp Leise dws 62831.763297* decomposition 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
uccase9 easy 33242 8064 0 25178 49565 332316 Daniel Espinoza uccase 10993.131409 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack 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
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