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We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

Data Structures and Algorithms · Computer Science 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

We propose a simulated annealing algorithm specifically tailored to optimise total retrieval times in a multi-level warehouse under complex pre-batched picking constraints. Experiments on real data from a picker-to-parts order picking…

Artificial Intelligence · Computer Science 2017-04-05 Alexander Eckrot , Carina Geldhauser , Jan Jurczyk

We consider the problem of sorting $n$ elements subject to persistent random comparison errors. In this problem, each comparison between two elements can be wrong with some fixed (small) probability $p$, and comparing the same pair of…

Data Structures and Algorithms · Computer Science 2025-08-28 Barbara Geissmann , Stefano Leucci , Chih-Hung Liu , Paolo Penna

Part I of this work [2] developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to a larger set of…

Optimization and Control · Mathematics 2017-12-27 Kun Yuan , Bicheng Ying , Xiaochuan Zhao , Ali H. Sayed

In a fixed budget ranking and Selection (R&S) problem, one aims to identify the best design among a finite number of candidates by efficiently allocating the given computing budget to evaluate design performance. Classical methods for R&S…

Optimization and Control · Mathematics 2024-07-11 Yuhao Wang , Enlu Zhou

In this paper, we study the problem of estimating uniformly well the mean values of several distributions given a finite budget of samples. If the variance of the distributions were known, one could design an optimal sampling strategy by…

Machine Learning · Computer Science 2015-07-17 Alexandra Carpentier , Alessandro Lazaric , Mohammad Ghavamzadeh , Rémi Munos , Peter Auer , András Antos

We propose Distributionally Balanced Designs (DBD), a new class of probability sampling designs that target representativeness at the level of the full auxiliary distribution rather than selected moments. In disciplines such as ecology,…

Methodology · Statistics 2026-03-13 Anton Grafström , Wilmer Prentius

Contention resolution addresses the problem of coordinating access to a shared communication channel. Time is discretized into synchronized slots, and a packet can be sent in any slot. If no packet is sent, then the slot is empty; if a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Umesh Biswas , Trisha Chakraborty , Maxwell Young

The problem of identifying a planted assignment given a random $k$-SAT formula consistent with the assignment exhibits a large algorithmic gap: while the planted solution becomes unique and can be identified given a formula with $O(n\log…

Computational Complexity · Computer Science 2018-03-07 Vitaly Feldman , Will Perkins , Santosh Vempala

Motivated by the problem of scheduling electric vehicle (EV) charging with a minimum charging threshold in smart distribution grids, we introduce the resource allocation problem (RAP) with a symmetric separable convex objective function and…

Optimization and Control · Mathematics 2023-07-31 Martijn H. H. Schoot Uiterkamp

We study the following synchronous process that we call "repeated balls-into-bins". The process is started by assigning $n$ balls to $n$ bins in an arbitrary way. In every subsequent round, from each non-empty bin one ball is chosen…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-25 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Gustavo Posta

We consider the problem of deterministic load balancing of tokens in the discrete model. A set of $n$ processors is connected into a $d$-regular undirected network. In every time step, each processor exchanges some of its tokens with each…

Data Structures and Algorithms · Computer Science 2015-02-24 Petra Berenbrink , Ralf Klasing , Adrian Kosowski , Frederik Mallmann-Trenn , Przemyslaw Uznanski

We study online fair division when there are a finite number of item types and the player values for the items are drawn randomly from distributions with unknown means. In this setting, a sequence of indivisible items arrives according to a…

Computer Science and Game Theory · Computer Science 2025-01-14 Benjamin Schiffer , Shirley Zhang

In this paper we consider random access wireless multi-hop mesh networks with multi-packet reception capabilities where multiple flows are forwarded to the gateways through node disjoint paths. We address the issue of aggregate…

Networking and Internet Architecture · Computer Science 2016-11-15 Manolis Ploumidis , Nikolaos Pappas , Apostolos Traganitis

We design online algorithms for the fair allocation of public goods to a set of $N$ agents over a sequence of $T$ rounds and focus on improving their performance using predictions. In the basic model, a public good arrives in each round,…

Computer Science and Game Theory · Computer Science 2022-10-03 Siddhartha Banerjee , Vasilis Gkatzelis , Safwan Hossain , Billy Jin , Evi Micha , Nisarg Shah

We introduce and study spatiotemporal online allocation with deadline constraints ($\mathsf{SOAD}$), a new online problem motivated by emerging challenges in sustainability and energy. In $\mathsf{SOAD}$, an online player completes a…

Data Structures and Algorithms · Computer Science 2025-03-14 Adam Lechowicz , Nicolas Christianson , Bo Sun , Noman Bashir , Mohammad Hajiesmaili , Adam Wierman , Prashant Shenoy

Balls-in-bins models describe a random sequential allocation of infinitely many balls into a finite number of bins. In these models a ball is placed into a bin with probability proportional to a given function (feedback function), which…

Probability · Mathematics 2022-04-13 Mikhail Menshikov , Vadim Shcherbakov

To schedule a large number of EVs with the presence of practical nonconvex charging constraints, a distributed and randomized algorithm is proposed in this paper. The algorithm assumes the availability of a coordinator which can communicate…

Optimization and Control · Mathematics 2014-04-14 Lingwen Gan , Ufuk Topcu , Steven H. Low

We propose a simple distributed algorithm for balancing indivisible tokens on graphs. The algorithm is completely deterministic, though it tries to imitate (and enhance) a random algorithm by keeping the accumulated rounding errors as small…

Data Structures and Algorithms · Computer Science 2013-04-22 Tobias Friedrich , Martin Gairing , Thomas Sauerwald

Balanced knockout tournaments are ubiquitous in sports competitions and are also used in decision-making and elections. The traditional computational question, that asks to compute a draw (optimal draw) that maximizes the winning…

Computer Science and Game Theory · Computer Science 2016-04-19 Krishnendu Chatterjee , Rasmus Ibsen-Jensen , Josef Tkadlec