These instances are random generated complete graphs with random weights. The were introduced in CGR92 .

More information can be found among others in KM98 .

The files can be found in the download section.

Name | |V| | |E| | |T| | DC | Opt |
---|---|---|---|---|---|

P401 | 100 | 4950 | 5 | Ps | 155 |

P402 | 100 | 4950 | 5 | Ps | 116 |

P403 | 100 | 4950 | 5 | Ps | 179 |

P404 | 100 | 4950 | 10 | Ls | 270 |

P405 | 100 | 4950 | 10 | Ls | 270 |

P406 | 100 | 4950 | 10 | Ps | 290 |

P407 | 100 | 4950 | 20 | Ps | 590 |

P408 | 100 | 4950 | 20 | Ls | 542 |

P409 | 100 | 4950 | 50 | Ps | 963 |

P410 | 100 | 4950 | 50 | Ls | 1010 |

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.
**s**ecounds means less than a minute (this includes
instances which can be solved in fractions of a second).
**m**inutes means less than an hour. **h**ours is less than a
day and **d**ays is less than a week. **w**eeks 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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