By Cai M.-C., Favaron O., Li H.
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Extra resources for (2,k)-Factor-Critical Graphs and Toughness
P. Brockett’s Commercial Traveller’s Guide Book to map out routes through their regions. Often, however, tours were planned in a central office, such as was done in the Page Seed Company. 3 indicate one way such tours were optimized, using pins and strings to plot potential routes on a map. 4 Business leads the traveling salesman here and there, and there is not a good tour for all occurring cases; but through an expedient choice and division of the tour so much time can be won that we feel compelled to give guidelines about this.
Photograph courtesy of Jessie Brainerd. Challenges We begin in chapter 2 by examining the roots of the salesman problem from both the mathematical and applied perspectives; the presentation of TSP history allows us to introduce basic themes picked up in later chapters. This is followed, in chapter 3, by a selection of the many applications of the TSP, including trip planning, genome sequencing, planet finding, and music arranging. The heart of our technical treatment of the problem is the material presented in chapters 4 through 7, followed by a discussion of how TSP computer codes stack up to the task of solving large examples in chapter 8.
Farms, Oil Platforms, and Blue-claw Crabs The farming study of Mahalanobis in the 1930s is an early example of the use of the TSP in planning inspections of remote sites. This type of logistical application occurs in many other contexts as well. For example, William Pulleyblank reports the use of TSP software to plan routes for an oil firm to visit a set of 47 platforms off the coast of Nigeria. In this instance, the platforms are visited via a helicopter flying from an onshore base. In another example, a group at the University of Maryland modeled the problem of scheduling boat-crew visits to approximately 200 stations in the Chesapeake Bay.
(2,k)-Factor-Critical Graphs and Toughness by Cai M.-C., Favaron O., Li H.