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Testset P6Z

These instances are random generated sparse graphs with random weights. The were introduced in CGR92 .

More information can be found among others in KM98 .

The files can be found in the download section.

Name   |V|    |E|    |T|    DC    Opt 
 p601100 180 Ps ---- 
 p602100 180 Ps 8083 
 p603100 180 Ps 5022 
 p604100 180 10 Ps 11397 
 p605100 180 10 Ps 10355 
 p606100 180 10 Ps 13048 
 p607100 180 20 Ls 15358 
 P608100 180 20 Ls 14439 
 p609100 180 20 Ps 18263 
 p610100 180 50 Ps 30161 
 p611100 180 50 Ls 26903 
 p612100 180 50 Ps 30258 
 p613200 370 10 Ps 18429 
 p614200 370 20 Ps 27276 
 p615200 370 40 Ps 42474 
 p616200 370 100 Ps 62263 

The column DC classifies the difficulty of the instance.

L
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.
P
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.
NP
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
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