Algorithms for Travelling Salesperson Problems

A special issue of Algorithms (ISSN 1999-4893). This special issue belongs to the section "Combinatorial Optimization, Graph, and Network Algorithms".

Deadline for manuscript submissions: closed (28 February 2021) | Viewed by 4342

Special Issue Editors


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Guest Editor
Department of Computer Science and Media Technology, Malmö University, 205 06 Malmö, Sweden
Interests: algorithms; complexity; computational geometry; recommendation algorithms
Department of Computer Science, University of Wisconsin, Oshkosh, WI, 54901, USA
Interests: computational geometry; algorithms; compilers; programming languages

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Guest Editor
Institute of Computer Science, University of Gdańsk, 80-308 Gdańsk, Poland
Interests: graph theory; computational geometry; algorithms; data structures

Special Issue Information

Dear Colleagues,

The Travelling Salesperson Problem (TSP) is a classical problem in Computer Science and Operations Research, with numerous applications to planning, logistics, and vehicle routing. It is also intrinsically linked to the theory of computing. The problem asks for the shortest closed tour visiting each “city” in a set of “cities” exactly once, given the distances between them. The problem is known to be NP-hard but certain natural variants (e.g., metric and geometric versions) admit good approximations.

TSP also has numerous generalizations, dealing with the computation of tours with specific properties such as visibility, mobility, and the selection of a subset of cities to visit based on constraints (group TSP).

We invite you to submit high-quality papers to this Special Issue on “Algorithms for Travelling Salesperson Problems”, covering TSP in a broad sense. The following is a (non-exhaustive) list of potential topics:

  • exact algorithms for TSP and tour problems;
  • approximation algorithms for TSP and tour problems;
  • online algorithms for TSP and tour problems;
  • geometric TSP and tour problems;
  • complexity of TSP and tour problems;
  • algorithms for generalized tour problems;
  • applications of TSP and tour problems.

Prof. Dr. Bengt J. Nilsson
Dr. Erik Krohn
Dr. Paweł Żyliński
Guest Editors

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Keywords

  • travelling salesperson problem
  • exact algorithms
  • approximation algorithms
  • online algorithms
  • complexity and NP-hardness
  • parameterized complexity

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Published Papers (1 paper)

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Research

9 pages, 295 KiB  
Article
Estimating the Tour Length for the Close Enough Traveling Salesman Problem
by Debdatta Sinha Roy, Bruce Golden, Xingyin Wang and Edward Wasil
Algorithms 2021, 14(4), 123; https://doi.org/10.3390/a14040123 - 12 Apr 2021
Cited by 4 | Viewed by 3226
Abstract
We construct empirically based regression models for estimating the tour length in the Close Enough Traveling Salesman Problem (CETSP). In the CETSP, a customer is considered visited when the salesman visits any point in the customer’s service region. We build our models using [...] Read more.
We construct empirically based regression models for estimating the tour length in the Close Enough Traveling Salesman Problem (CETSP). In the CETSP, a customer is considered visited when the salesman visits any point in the customer’s service region. We build our models using as many as 14 independent variables on a set of 780 benchmark instances of the CETSP and compare the estimated tour lengths to the results from a Steiner zone heuristic. We validate our results on a new set of 234 instances that are similar to the 780 benchmark instances. We also generate results for a new set of 72 larger instances. Overall, our models fit the data well and do a very good job of estimating the tour length. In addition, we show that our modeling approach can be used to accurately estimate the optimal tour lengths for the CETSP. Full article
(This article belongs to the Special Issue Algorithms for Travelling Salesperson Problems)
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