Nonetheless this day i'm receiving requests for reprints of the e-book, yet regrettably it's out of print. accordingly, because the ebook nonetheless turns out to obtain a few realization, I p- posed to Springer Verlag to supply a loose on-line version. i'm more than pleased that Springer agreed. apart from the correction of a few typographical blunders, the web version is simply a duplicate of the published model, no updates were made. particularly, desk 13.1 offers the prestige of TSPLIB on the time of publishing the e-book. For gaining access to TSPLIB the hyperlink may be used rather than following the strategy defined in bankruptcy thirteen. Heidelberg, January 2001 Gerhard Reinelt Preface greater than ?fteen years in the past, i used to be confronted with the next challenge in an project for a category in computing device technological know-how. A brewery needed to convey beer to ?ve shops, and the duty used to be to write down a working laptop or computer software for deciding upon the shortest path for the truck driving force to go to all shops and go back to the brewery. All my attemps to ?nd an affordable set of rules failed, i couldn't aid enumerating all attainable routes after which decide upon the simplest one.

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