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Testset B

These instances are random generated sparse graphs with edge weights between 1 and 10.

The were introduced in Bea84 and were generated following a scheme outlined in Ane80 . More information is among others in Bea89 , Luc93 , KM98 , PD00 .

The original data sets are from the OR-Library.

The files can be found in the download section.

Name   |V|    |E|    |T|    DC    Opt 
 b0150 63 Ls 82 
 b0250 63 13 Ls 83 
 b0350 63 25 Ls 138 
 b0450 100 Ls 59 
 b0550 100 13 Ls 61 
 b0650 100 25 Ps 122 
 b0775 94 13 Ls 111 
 b0875 94 19 Ls 104 
 b0975 94 38 Ls 220 
 b1075 150 13 Ps 86 
 b1175 150 19 Ls 88 
 b1275 150 38 Ls 174 
 b13100 125 17 Ps 165 
 b14100 125 25 Ps 235 
 b15100 125 50 Ps 318 
 b16100 200 17 Ps 127 
 b17100 200 25 Ps 131 
 b18100 200 50 Ps 218 

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)