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Testset E

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 
 e012500 3125 5 Ps 111 
 e022500 3125 10 Ps 214 
 e032500 3125 417 Ps 4013 
 e042500 3125 625 Ps 5101 
 e052500 3125 1250 Ps 8128 
 e062500 5000 5 Ps 73 
 e072500 5000 10 Pm 145 
 e082500 5000 417 Pm 2640 
 e092500 5000 625 Pm 3604 
 e102500 5000 1250 Pm 5600 
 e112500 12500 5 Pm 34 
 e122500 12500 10 Pm 67 
 e132500 12500 417 Pm 1280 
 e142500 12500 625 Pm 1732 
 e152500 12500 1250 Ps 2784 
 e162500 62500 5 Ph 15 
 e172500 62500 10 Ph 25 
 e182500 62500 417 NPh 564 
 e192500 62500 625 Pm 758 
 e202500 62500 1250 Ls 1342 

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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