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Math / Excursions in Modern Mathematics: Pearson New International Edition 8 / Chapter 6 / Problem 38

Excursions in Modern Mathematics: Pearson New International Edition | 8th Edition | ISBN: 9781292022048 | Authors: Peter Tannenbaum

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A space mission is scheduled to visit the moons Callisto (C), Ganymede (G), Io (I)

Chapter 6, Problem 38

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QUESTION:

A space mission is scheduled to visit the moons Callisto (C), Ganymede (G), Io (I), Mimas (M), and Titan (T) to collect rock samples at each and then return to Earth (E). The travel times (in years) are given in the weighted graph shown in Fig. 44. (Note: This is the interplanetary TSP discussed in Example 11.) (a) Find the nearest-neighbor tour with starting vertex E. Give the total travel time of this tour. (b) Find the nearest-neighbor tour with starting vertex T. Write the tour as it would be traveled by an expedition starting and ending at E. Give the total travel time of this tour.

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QUESTION:

A space mission is scheduled to visit the moons Callisto (C), Ganymede (G), Io (I), Mimas (M), and Titan (T) to collect rock samples at each and then return to Earth (E). The travel times (in years) are given in the weighted graph shown in Fig. 44. (Note: This is the interplanetary TSP discussed in Example 11.) (a) Find the nearest-neighbor tour with starting vertex E. Give the total travel time of this tour. (b) Find the nearest-neighbor tour with starting vertex T. Write the tour as it would be traveled by an expedition starting and ending at E. Give the total travel time of this tour.

ANSWER:

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A space mission is scheduled to visit the moons Callisto (C), Ganymede (G), Io (I), Mimas (M), and Titan (T) to collect rock samples at each and then return to Earth (E). The travel times (in years) are given in the weighted graph shown below.

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