Testset TSPFST

These instances are rectalinear graphs with L1 distances. They were converted by M. Zachariasen and D.M.Warme from TSPLIB problems, by building the Hanan grid (see Han66 ) of the given nodes.

Then these graphs were preprocessed with GeoSteiner a Software for computing Full-Steiner-Sets. For a description of the Algorithm see War97 and WWZ00 .

For solutions see PV01a .

The files can be found in the download section.

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.