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Testset TAQ

These instances are grid graphs with rectangular holes. They come from a VLSI application (see JMRW94 ).

They were introduced in KM98 . More information can be found among others in UdAR99 and PD00 .

Here is an image of alue7080 PS DjVu with solution made by E. Uchoa .

This is a picture of diw0495 with solution. diw0495 with solution

The files can be found in the download section.

Name   |V|    |E|    |T|    DC    Opt 
 taq00146466 11046 128 Ps 5326 
 taq0023572 963 11 Ps 621 
 taq03654186 7074 22 Ps 1914 
 taq03776836 11715 136 NPs 6393 
 taq04311128 1905 13 Ps 897 
 taq0631609 932 10 Ps 581 
 taq0739837 1438 16 NPs 848 
 taq0741712 1217 16 Ps 847 
 taq07511051 1791 16 Ps 939 
 taq0891331 560 10 Ls 319 
 taq09036163 10490 130 NPs 5099 
 taq0910310 514 17 Ls 370 
 taq0920122 194 17 Ls 210 
 taq0978777 1239 10 Ls 566 

The column DC classifies the difficulty of the instance.

Solvable by usage of local preprocessing. Typical examples are the SD-Test, BD-n Tests and FST computations. Neither a global upper nor lower bound needs to be computed.
Solvable by polynomial time algorithms, like dual ascent in combination with primal heuristic, a integral LP formulation or advanced preprocessing like reduced cost criteria or the RCR-Test.
No polynomial time algorithm is known. Use of an exponential time enumeration sceme like Branch-and-Bound is neccessary.

The letter after class gives an impression how long it takes to solve the problem using state-of-the-art soft- and hardware. secounds means less than a minute (this includes instances which can be solved in fractions of a second). minutes means less than an hour. hours is less than a day and days is less than a week. weeks mean it takes really a long time to solve this instance. ? means the instance is not solved or the time is not known.

If the number in the Opt column is written in italics the optimum is not known. The number given is the best know upper bound.

Last Update : 2015/02/11 11:57:20 $ by Thorsten Koch
© 2001 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)