“…As such, any efficient solution to the TSP can be applied to solve many real world problems, such as transportation control [4], network management [5], and scheduling [6]. Assuming that d ( c
i , c
j ) represents the distance between each pair of cities c
i and c
j , the TSP asks for a solution—that is, a permutation 〈 c
π (1) , c
π (2) ,…, c
π ( n ) 〉 of the given n cities—that minimizes
In short, (1) gives the distance D of the tour that starts at city c
π (1) , visits each city in sequence, and then returns directly to c
π (1) from the last city c
π ( n ) .…”