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A diagonal completion and 2-optimal procedure for the travelling salesman problem

✍ Scribed by J.R. King; X.Y. Zhang; G.H. Jin


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
934 KB
Volume
13
Category
Article
ISSN
0895-7177

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✦ Synopsis


A fast diagonal completion algorithm is developed for constructing a good initial feasible solution for travelling salesman problems. The algorithm can be combined with any tour improvement approach but is specifically considered here in conjunction with the 2-optimal method which is shown to give good results without excessive demands on computer time. Computational experience with a variety of problems from small to large size is reported.


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The Selective Traveling Salesman Problem (STSP) is defined on a graph in which profits are associated with vertices and costs are associated with edges. Some vertices are compulsory. The aim is to construct a tour of maximal profit including all compulsory vertices and whose cost does not exceed a p