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We extend the work of Narasimhan and Bilmes [30] for minimizing set functions representable as a difference between submodular functions. Similar to [30], our new algorithms are guaranteed to monotonically reduce the objective function at…

Data Structures and Algorithms · Computer Science 2013-08-27 Rishabh Iyer , Jeff Bilmes

The problem of detecting a single anomalous process among multiple independent processes is considered. Under a constraint on the number of processes that can be probed simultaneously, the decision maker should decide which processes to…

Signal Processing · Electrical Eng. & Systems 2021-01-15 Fengfan Qin , Da Chen , Hui Feng , Qing Zhao , Tao Yang , Bo Hu

We consider the problem of minimizing cost among one-to-one assignments of $n$ jobs onto $n$ machines. The random assignment problem refers to the case when the cost associated with performing jobs on machines are random variables. Aldous…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chandra Nair

We study the maximin share (MMS) fair allocation of $m$ indivisible chores to $n$ agents who have costs for completing the assigned chores. It is known that exact MMS fairness cannot be guaranteed, and so far the best-known approximation…

Computer Science and Game Theory · Computer Science 2023-05-19 Bo Li , Fangxiao Wang , Yu Zhou

Mobile-edge computing (MEC) offloads computational tasks from wireless devices to network edge, and enables real-time information transmission and computing. Most existing work concerns a small-scale synchronous MEC system. In this paper,…

Information Theory · Computer Science 2021-02-03 Yizhen Xu , Peng Cheng , Zhuo Chen , Ming Ding , Branka Vucetic , Yonghui Li

In the moldable job scheduling problem one has to assign a set of $n$ jobs to $m$ machines, in order to minimize the time it takes to process all jobs. Each job is moldable, so it can be assigned not only to one but any number of the equal…

Data Structures and Algorithms · Computer Science 2023-03-03 Kilian Grage , Klaus Jansen , Felix Ohnesorge

We investigate modifications to Bayesian Optimization for a resource-constrained setting of sequential experimental design where changes to certain design variables of the search space incur a switching cost. This models the scenario where…

Machine Learning · Computer Science 2024-05-16 Stefan Pricopie , Richard Allmendinger , Manuel Lopez-Ibanez , Clyde Fare , Matt Benatan , Joshua Knowles

One simplifying assumption in existing and well-performing task allocation methods is that the robots are single-tasking: each robot operates on a single task at any given time. While this assumption is harmless to make in some situations,…

Robotics · Computer Science 2026-03-10 Winston Smith , Yu Zhang

Scheduling problems are fundamental in combinatorial optimization. Much work has been done on approximation algorithms for NP-hard cases, but relatively little is known about exact solutions when some part of the input is a fixed parameter.…

Data Structures and Algorithms · Computer Science 2018-01-09 Dušan Knop , Martin Koutecký

Data shuffling between distributed cluster of nodes is one of the critical steps in implementing large-scale learning algorithms. Randomly shuffling the data-set among a cluster of workers allows different nodes to obtain fresh data…

Information Theory · Computer Science 2018-01-08 Mohamed A. Attia , Ravi Tandon

Over the years, significant contributions have been made by the research and industrial sectors to improve wearable devices towards the Internet of Wearable Things (IoWT) paradigm. However, wearables are still facing several challenges.…

Machine Learning · Computer Science 2026-04-03 Waleed Bin Qaim , Aleksandr Ometov , Claudia Campolo , Antonella Molinaro , Elena Simona Lohan , Jari Nurmi

Task allocation problems have traditionally focused on cost optimization. However, more and more attention is being given to cases in which cost should not always be the sole or major consideration. In this paper we study a fair task…

Artificial Intelligence · Computer Science 2016-12-08 Qing Chuan Ye , Yingqian Zhang , Rommert Dekker

Measuring similarities between different tasks is critical in a broad spectrum of machine learning problems, including transfer, multi-task, continual, and meta-learning. Most current approaches to measuring task similarities are…

Machine Learning · Computer Science 2022-08-26 Xinran Liu , Yikun Bai , Yuzhe Lu , Andrea Soltoggio , Soheil Kolouri

The (Non-Preemptive) Throughput Maximization problem is a natural and fundamental scheduling problem. We are given $n$ jobs, where each job $j$ is characterized by a processing time and a time window, contained in a global interval $[0,T)$,…

Data Structures and Algorithms · Computer Science 2026-04-01 Alexander Armbruster , Fabrizio Grandoni , Antoine Tinguely , Andreas Wiese

This paper presents a scalable solution with adjustable computation time for the joint problem of scheduling and assigning machines and transporters for missions that must be completed in a fixed order of operations across multiple stages.…

Robotics · Computer Science 2023-07-13 Koresh Khateri , Giovanni Beltrame

We study the shared processor scheduling problem with a single shared processor where a unit time saving (weight) obtained by processing a job on the shared processor depends on the job. A polynomial-time optimization algorithm has been…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Wieslaw Kubiak

This paper is about minimum cost constrained selection of inputs and outputs for generic arbitrary pole placement. The input-output set is constrained in the sense that the set of states that each input can influence and the set of states…

Optimization and Control · Mathematics 2018-01-11 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

We are given a set of $n$ jobs and a single processor that can vary its speed dynamically. Each job $J_j$ is characterized by its processing requirement (work) $p_j$, its release date $r_j$ and its deadline $d_j$. We are also given a budget…

Data Structures and Algorithms · Computer Science 2013-09-09 Eric Angel , Evripidis Bampis , Vincent Chau

Multi-robot task allocation is one of the most fundamental classes of problems in robotics and is crucial for various real-world robotic applications such as search, rescue and area exploration. We consider the Single-Task robots and…

Robotics · Computer Science 2021-03-24 Haris Aziz , Hau Chan , Ágnes Cseh , Bo Li , Fahimeh Ramezani , Chenhao Wang

In this paper we consider energy efficient scheduling in a multiuser setting where each user has a finite sized queue and there is a cost associated with holding packets (jobs) in each queue (modeling the delay constraints). The packets of…

Systems and Control · Computer Science 2017-10-18 Vivek S. Borkar , Gaurav S. Kasbekar , Sarath Pattathil , Priyesh Y. Shetty