dws012-02

aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Philipp Leise 51108 26382 1.93662e-04 open dws 121112.055928511* dws012-02.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 51108 51102
Constraints 26382 26275
Binaries 30096 30092
Integers 0 0
Continuous 21012 21010
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000193662 0.000194334
Nonzeroes 261120 260933
Constraint Classification Properties
Original Presolved
Total 26382 26275
Empty 0 0
Free 0 0
Singleton 90 0
Aggregations 66 66
Precedence 726 723
Variable Bound 2442 2434
Set Partitioning 396 396
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 22398 22392
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 % 0.00381 0.111115 0.0723121 0.220742
Variable % 0.00391 0.457292 0.0234811 0.917718
Score 0.146457

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
4 121112.1 121112.1 8e-07 0 0 Peng Lin and Shaowei Cai 2024-10-01 PartiMIP Solver - A Dynamic Partitioning MIP Solver
3 122074.2 122074.2 0e+00 0 0 Mars Davletshin 2024-07-12 Obtained by OptVerse solver
2 122894.9 122894.9 0e+00 0 0 Dongdong Wan 2024-07-01 Taylor Solver - Taylor Lab of Huawei Solver
1 126211.9 126211.9 0e+00 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dws012-02 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
dws012-03 open 76068 44616 0 31452 38484 389304 Philipp Leise dws 140473.60932083728* precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-01 open 26148 15576 0 10572 14280 132936 Philipp Leise dws 82030.53014261134* decomposition precedence variable_bound set_partitioning set_packing mixed_binary
dws008-03 hard 32280 18928 0 13352 16344 165168 Philipp Leise dws 62831.7633546923 decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws008-01 easy 11096 6608 0 4488 6064 56400 Philipp Leise dws 37412.60458794508 benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing mixed_binary
uccase10 open 110818 16800 0 94018 196498 787045 Daniel Espinoza uccase 39133.6229762502* 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}
}

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