Version: September 28, 2007 Concorde TSP Verification Code For information on the verification process, see the paper Title: Certification of an optimal TSP tour through 85,900 cities Authors: David L. Applegate, Robert Bixby, Vasek Chvatal, William Cook, Daniel G. Espinoza, Marcos Goycoolea, and Keld Helsgaun To build the executable code "bbcheck" issue the command "make bbcheck" in the directory containing the source code. To run bbcheck on the 532-city instance "att532" use bbcheck att532.tsp att532.allproof The file att532.tsp describes the TSP instance in TSPLIB format. This file can be obtained from Gerd Reinelt's TSPLIB site http://www.iwr.uni-heidelberg.de/groups/comopt/software/TSPLIB95/ or as part of the allproofs.tgz file on the page http://www.math.uwaterloo.ca/tsp/pla85900/proof The att532.allproof file contains the certification data. This file is also part of allproofs.tgz. By default, bbcheck will verify the branch-and-bound search tree, but it will not verify the cutting-planes having hypergraphs that do not match a list of known templates. To verify the remaining cutting-planes (using the Held-Karp TSP solver), the option -h should be given. In the case of att532.allproof, all hypergraphs of cutting-planes match known templates. To test the verification of non-template cuts, use the file att532.hkproof. bbcheck -h att532.tsp att532.hkproof To run bbcheck on the 85,900-city instance pla85900 use bbceck pla85900.tsp pla85900.allproof This will take approximately 30 minutes. To verify the full set of cutting planes, use bbcheck -h pla85900.tsp pla85900.allproof This will take approximately 600 hours. If a network of computers is available, the cutting-plane verification can be carried out in parallel by building the bbboss and bbgrunt codes. On a "boss" machine issue the command bbboss pla85900.allproof Suppose the boss machine name is "iorek". On a set of "worker" machines issue the command bbgrunt iorek The workers will communicate with the boss via NFS sockets, reporting back the successful verification of individual cutting planes.