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Human-robot teams have the ability to perform better across various tasks than human-only and robot-only teams. However, such improvements cannot be realized without proper task allocation. Trust is an important factor in teaming…

Robotics · Computer Science 2021-10-12 Arsha Ali , Hebert Azevedo-Sa , Dawn M. Tilbury , Lionel P. Robert

We consider the problem of finding patrol schedules for $k$ robots to visit a given set of $n$ sites in a metric space. Each robot has the same maximum speed and the goal is to minimize the weighted maximum latency of any site, where the…

Data Structures and Algorithms · Computer Science 2020-07-15 Peyman Afshani , Mark De Berg , Kevin Buchin , Jie Gao , Maarten Loffler , Amir Nayyeri , Benjamin Raichel , Rik Sarkar , Haotian Wang , Hao-Tsung Yang

We consider the problem of completing a set of $n$ tasks with a human-robot team using minimum effort. In many domains, teaching a robot to be fully autonomous can be counterproductive if there are finitely many tasks to be done. Rather,…

Robotics · Computer Science 2022-07-08 Shivam Vats , Oliver Kroemer , Maxim Likhachev

This paper addresses the scheduling problem for unrelated crowd workers in mobile social networks, where the required service time for each task varies among the assigned crowd workers. The goal is to minimize the total weighted completion…

Data Structures and Algorithms · Computer Science 2026-03-30 Chi-Yeh Chen

We propose a new formulation for the multi-robot task planning and allocation problem that incorporates (a) precedence relationships between tasks; (b) coordination for tasks allowing multiple robots to achieve increased efficiency; and (c)…

Robotics · Computer Science 2023-05-25 Walker Gosrich , Siddharth Mayya , Saaketh Narayan , Matthew Malencia , Saurav Agarwal , Vijay Kumar

We propose a new formulation for the multi-robot task allocation problem that incorporates (a) complex precedence relationships between tasks, (b) efficient intra-task coordination, and (c) cooperation through the formation of robot…

Robotics · Computer Science 2025-09-19 Walker Gosrich , Saurav Agarwal , Kashish Garg , Siddharth Mayya , Matthew Malencia , Mark Yim , Vijay Kumar

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel

We consider a distributed computing network consisting of a master and multiple workers processing tasks of different types. The master is running multiple applications. Each application stochastically generates real-time jobs with a strict…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-31 Yu-Pin Hsu , Yu-Chih Huang , Shin-Lin Shieh

Allocating tasks to heterogeneous robot teams in environments with uncertain task requirements is a fundamentally challenging problem. Redundantly assigning multiple robots to such tasks is overly conservative, while purely reactive…

Robotics · Computer Science 2026-03-23 Ben Rossano , Jaein Lim , Jonathan P. How

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

Data Structures and Algorithms · Computer Science 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

Efficient workload assignment to the workforce is critical in last-mile package delivery systems. In this context, traditional methods of assigning package deliveries to workers based on geographical proximity can be inefficient and surely…

In this paper, we consider an NP-hard problem of scheduling a set of jobs of equal processing time on two machines, given a partial precedence order on the set of jobs, with an objective to minimize the makespan. An approximation algorithm…

Optimization and Control · Mathematics 2014-12-17 Anna Romanova

In this paper, we consider the problem of how to fairly dividing $m$ indivisible chores among $n$ agents. The fairness measure we considered here is the maximin share. The previous best known result is that there always exists a…

Computer Science and Game Theory · Computer Science 2021-06-22 Xin Huang , Pinyan Lu

Algorithms with predictions is a recent framework that has been used to overcome pessimistic worst-case bounds in incomplete information settings. In the context of scheduling, very recent work has leveraged machine-learned predictions to…

Data Structures and Algorithms · Computer Science 2022-12-08 Eric Balkanski , Tingting Ou , Clifford Stein , Hao-Ting Wei

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

Computer Science and Game Theory · Computer Science 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

We present a new $4$-approximation algorithm for the Combinatorial Motion Planning problem which runs in $\mathcal{O}(n^2\alpha(n^2,n))$ time, where $\alpha$ is the functional inverse of the Ackermann function, and a fully distributed…

Discrete Mathematics · Computer Science 2018-05-24 Simran Dokania , Aditya Paliwal , Shrisha Rao

The number of multi-robot systems deployed in field applications has increased dramatically over the years. Despite the recent advancement of navigation algorithms, autonomous robots often encounter challenging situations where the control…

Robotics · Computer Science 2022-05-05 Tianchen Ji , Roy Dong , Katherine Driggs-Campbell

We initiate the work on maximin share (MMS) fair allocation of m indivisible chores to n agents using only their ordinal preferences, from both algorithmic and mechanism design perspectives. The previous best-known approximation is 2-1/n by…

Computer Science and Game Theory · Computer Science 2020-12-29 Haris Aziz , Bo Li , Xiaowei Wu

To enable safe and efficient use of multi-robot systems in everyday life, a robust and fast method for coordinating their actions must be developed. In this paper, we present a distributed task allocation and scheduling algorithm for…

In this article we propose a game-theoretic approach to the multi-robot task allocation problem using the framework of global games. Each task is associated with a global signal, a real-valued number that captures the task execution…

Robotics · Computer Science 2025-01-06 Logan Beaver