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Testset 2R

These instances are generated 3D cross-grid graphs to resample a construction problem.

The were introduced in Fre97 .

The files can be found in the download section.

Name   |V|    |E|    |T|    DC    Opt 
 2r1112000 5800 9 Pm 28000 
 2r1122000 5800 9 Pm 32000 
 2r1132000 5800 9 Ps 28000 
 2r1212000 5766 9 Pm 28000 
 2r1222000 5772 9 Ps 29000 
 2r1232000 5754 9 NPm 25000 
 2r1312000 5726 9 Ps 27000 
 2r1322000 5725 9 Pm 33000 
 2r1332000 5729 9 NPm 29000 
 2r2112000 5800 50  89000 
 2r2122000 5800 49 NPm 80000 
 2r2132000 5800 48 NPm 76000 
 2r2212000 5764 50 Pm 83000 
 2r2222000 5765 50  84000 
 2r2232000 5770 49 NPm 84000 
 2r2312000 5737 50 Pm 86000 
 2r2322000 5733 49 Pm 87000 
 2r2332000 5730 47 Pm 83000 
 2r3112000 5800 95  129000 
 2r3132000 5800 97  129000 
 2r3212000 5771 92 NPm 125000 
 2r3222000 5753 92 Pm 130000 
 2r3232000 5764 96  143000 
 2r3312000 5736 93  135000 
 2r3322000 5745 95  138000 
 2r3332000 5741 98  145000 

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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