A new crossover approach for solving the multiple travelling salesmen problem using genetic algorithms

S Yuan, B Skinner, S Huang, D Liu - European journal of operational …, 2013 - Elsevier
This paper proposes a new crossover operator called two-part chromosome crossover
(TCX) for solving the multiple travelling salesmen problem (MTSP) using a genetic algorithm …

Compact integer programs for depot-free multiple traveling salesperson problems

JA Cornejo-Acosta, J García-Díaz… - Mathematics, 2023 - mdpi.com
Multiple traveling salesperson problems (m TSP) are a collection of problems that
generalize the classical traveling salesperson problem (TSP). In a nutshell, an m TSP …

Approximations for many-visits multiple traveling salesman problems

K Bérczi, M Mnich, R Vincze - Omega, 2023 - Elsevier
A fundamental variant of the classical traveling salesman problem (TSP) is the so-called
multiple TSP (mTSP), where a set of m salesmen jointly visit all cities from a set of n cities …

An improvement to the 2-opt heuristic algorithm for approximation of optimal TSP tour

F Uddin, N Riaz, A Manan, I Mahmood, OY Song… - Applied Sciences, 2023 - mdpi.com
The travelling salesman problem (TSP) is perhaps the most researched problem in the field
of Computer Science and Operations. It is a known NP-hard problem and has significant …

Exact and approximation algorithms for the multi-depot capacitated arc routing problems

W Yu, Y Liao, Y Yang - Tsinghua Science and Technology, 2023 - ieeexplore.ieee.org
In this work, we investigate a generalization of the classical capacitated arc routing problem,
called the Multi-depot Capacitated Arc Routing Problem (MCARP). We give exact and …

An extension of the Christofides heuristic for the generalized multiple depot multiple traveling salesmen problem

Z Xu, B Rodrigues - European Journal of Operational Research, 2017 - Elsevier
We study a generalization of the classical traveling salesman problem, where multiple
salesmen are positioned at different depots, of which only a limited number (k) can be …

A 3/2-approximation algorithm for the multiple TSP with a fixed number of depots

Z Xu, B Rodrigues - INFORMS Journal on Computing, 2015 - pubsonline.informs.org
We study a natural extension of the classical traveling salesman problem (TSP) in the
situation where multiple salesmen are dispatched from a number of different depots. As with …

A -Approximation for Multiple TSP with a Variable Number of Depots

M Deppert, M Kaul, M Mnich - arXiv preprint arXiv:2307.07180, 2023 - arxiv.org
One of the most studied extensions of the famous Traveling Salesperson Problem (TSP) is
the {\sc Multiple TSP}: a set of $ m\geq 1$ salespersons collectively traverses a set of $ n …

An asymptotically tight online algorithm for m-Steiner Traveling Salesman Problem

Y Zhang, Z Zhang, Z Liu, Q Chen - Information Processing Letters, 2022 - Elsevier
This paper studies the m-Steiner Traveling Salesman Problem with online edge blockages.
Under the assumption that there might be some blockages on the roads which are non …

An Approximation Algorithm for k-Depot Split Delivery Vehicle Routing Problem

X Lai, L Xu, Z Xu, Y Du - INFORMS Journal on Computing, 2023 - pubsonline.informs.org
A multidepot capacitated vehicle routing problem aims to serve customers' demands using a
fleet of capacitated vehicles located in multiple depots, such that the total travel cost of the …