Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1141618 | Discrete Optimization | 2006 | 13 Pages |
Abstract
This paper considers a version of the traveling salesman problem where the cities are to be visited multiple times. Each city has its own required number of visits. We investigate how the optimal solution and its objective value change when the numbers of visits are increased by a common multiplicator. In addition, we derive lower bounds on values of the multiplicator beyond which further increase does not improve the average tour length. Moreover, we show how and when the structure of an optimal tour length can be derived from tours with smaller multiplicities.
Related Topics
Physical Sciences and Engineering
Mathematics
Control and Optimization
Authors
Alexander Grigoriev, Joris van de Klundert,