dws012-03

precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Philipp Leise 76068 38484 1.32986e-04 open dws 148877.4171892* dws012-03.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 76068 76061
Constraints 38484 38362
Binaries 44616 44612
Integers 0 0
Continuous 31452 31449
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000132986 0.000133341
Nonzeroes 389304 389070
Constraint Classification Properties
Original Presolved
Total 38484 38362
Empty 0 0
Free 0 0
Singleton 102 0
Aggregations 0 0
Precedence 990 987
Variable Bound 2904 2895
Set Partitioning 660 660
Set Packing 66 66
Set Covering 198 0
Cardinality 0 0
Invariant Knapsack 0 198
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 33564 33556
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 2.127105
Constraint % 0.00261 0.0941957 0.0521349 0.187686
Variable % 0.00394 0.4553290 0.0170906 0.913692
Score 0.124156

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 148877.4 148877.4 3e-07 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dws012-03 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
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
dws012-01 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
uccase10 open 110818 16800 0 94018 196498 787045 Daniel Espinoza uccase 39134.295915* aggregations precedence variable_bound 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 Nov 22, 2019 by Gregor Hendel
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