Multi-robot task allocation: A review of the state-of-the-art

A Khamis, A Hussein, A Elmogy - Cooperative robots and sensor networks …, 2015 - Springer
Multi-robot systems (MRS) are a group of robots that are designed aiming to perform some
collective behavior. By this collective behavior, some goals that are impossible for a single …

An overview of graph covering and partitioning

S Schwartz - Discrete Mathematics, 2022 - Elsevier
While graph covering is a fundamental and well-studied problem, this field lacks a broad
and unified literature review. The holistic overview of graph covering given in this article …

Approximation algorithms for sweep coverage problem with multiple mobile sensors

X Gao, J Fan, F Wu, G Chen - IEEE/ACM Transactions on …, 2018 - ieeexplore.ieee.org
Sweep coverage plays an important role in many applications like data gathering, sensing
coverage, and devices control. In this paper, we deal with the sweep coverage problem with …

Improved approximation algorithms for the min-max tree cover and bounded tree cover problems

MR Khani, MR Salavatipour - Algorithmica, 2014 - Springer
In this paper we provide improved approximation algorithms for the Min-Max Tree Cover and
Bounded Tree Cover problems. Given a graph G=(V, E) with weights w: E→ ℤ+, a set T 1, T …

[HTML][HTML] Improved approximation algorithms for some min-max and minimum cycle cover problems

W Yu, Z Liu - Theoretical Computer Science, 2016 - Elsevier
Given an undirected weighted graph G=(V, E), a set {C 1, C 2,…, C k} of cycles is called a
cycle cover of the vertex subset V′ if V′⊆∪ i= 1 k V (C i) and its cost is given by the …

Multi-robot path planning for complete coverage with genetic algorithms

R Sun, C Tang, J Zheng, Y Zhou, S Yu - … 8–11, 2019, Proceedings, Part V …, 2019 - Springer
Complete coverage path planning (CPP) generates a path following which a robot can cover
all free spaces in an environment. Compared with single robot CPP, multi-robot CPP gains …

[HTML][HTML] Approximation results for a min–max location-routing problem

Z Xu, D Xu, W Zhu - Discrete Applied Mathematics, 2012 - Elsevier
This paper studies a min–max location-routing problem, which aims to determine both the
home depots and the tours for a set of vehicles to service all the customers in a given …

[HTML][HTML] New approximation algorithms for the minimum cycle cover problem

W Yu, Z Liu, X Bao - Theoretical Computer Science, 2019 - Elsevier
Given an undirected weighted graph G=(V, E) with nonnegative weight function obeying the
triangle inequality, a set {C 1, C 2,…, C k} of cycles is called a cycle cover if V⊆⋃ i= 1 k V (C …

Exact and approximation algorithms for the min–max k-traveling salesmen problem on a tree

L Xu, Z Xu, D Xu - European Journal of Operational Research, 2013 - Elsevier
Given k identical salesmen, where k⩾ 2 is a constant independent of the input size, the min–
max k-traveling salesmen problem on a tree is to determine a set of k tours for the salesmen …

Better approximability results for min–max tree/cycle/path cover problems

W Yu, Z Liu - Journal of Combinatorial Optimization, 2019 - Springer
We study the problem of covering the vertices of an undirected weighted graph with a given
number of trees (cycles, paths) to minimize the weight of the maximum weight tree (cycle …