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Testset C

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

The were introduced in Bea89 and were generated following a scheme outlined in Ane80 . More information is among others in 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 
 c01500 625 5 Ps 85 
 c02500 625 10 Ps 144 
 c03500 625 83 Ps 754 
 c04500 625 125 Ps 1079 
 c05500 625 250 Ls 1579 
 c06500 1000 5 Ps 55 
 c07500 1000 10 Ps 102 
 c08500 1000 83 Ps 509 
 c09500 1000 125 Ps 707 
 c10500 1000 250 Ps 1093 
 c11500 2500 5 Ps 32 
 c12500 2500 10 Ps 46 
 c13500 2500 83 Ps 258 
 c14500 2500 125 Ps 323 
 c15500 2500 250 Ls 556 
 c16500 12500 5 Ps 11 
 c17500 12500 10 Ps 18 
 c18500 12500 83 Ps 113 
 c19500 12500 125 Ps 146 
 c20500 12500 250 Ls 267 

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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