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Testset DMXA

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 
 dmxa0296233 386 12 Ls 344 
 dmxa03682050 3676 18 Ps 1017 
 dmxa04541848 3286 16 Ls 914 
 dmxa0628169 280 10 Ls 275 
 dmxa0734663 1154 11 Ls 506 
 dmxa0848499 861 16 Ps 594 
 dmxa0903632 1087 10 Ps 580 
 dmxa10103983 7108 23 Ls 1488 
 dmxa1109343 559 17 Ps 454 
 dmxa1200770 1383 21 Ps 750 
 dmxa1304298 503 10 Ls 311 
 dmxa1516720 1269 11 Ls 508 
 dmxa17211005 1731 18 Ps 780 
 dmxa18012333 4137 17 Ps 1365 

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)