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We consider a strategic decision-making problem where a logistics provider (LP) seeks to locate collection and delivery points (CDPs) with the objective to reduce total logistics costs. The customers maximize utility that depends on their…

最优化与控制 · 数学 2025-12-09 David Pinzon Ulloa , Ammar Metnani , Emma Frejinger

A fundamental problem in distributed computing is the distribution of requests to a set of uniform servers without a centralized controller. Classically, such problems are modeled as static balls into bins processes, where $m$ balls (tasks)…

分布式、并行与集群计算 · 计算机科学 2016-03-08 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Lars Nagel , Chris Wastell

For the classical maximum coverage problem, the greedy algorithm achieves a worst-case $1-1/e$ approximation, which is optimal unless $\text{P} = \text{NP}$. The notion of coverage appears in a wide range of optimization tasks, where…

数据结构与算法 · 计算机科学 2026-04-29 Eric Balkanski , Jason Chatzitheodorou , Flore Sentenac

We study the problem of assigning $K$ identical servers to a set of $N$ parallel queues in a time-slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server can serve at most one queue…

最优化与控制 · 数学 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Yannis Viniotis , Chung-Horng Lung

Motivated by emerging big streaming data processing paradigms (e.g., Twitter Storm, Streaming MapReduce), we investigate the problem of scheduling graphs over a large cluster of servers. Each graph is a job, where nodes represent compute…

网络与互联网体系结构 · 计算机科学 2015-02-23 Javad Ghaderi , Sanjay Shakkottai , R Srikant

We study the average performance of online greedy matching algorithms on $G(n,n,p)$, the random bipartite graph with $n$ vertices on each side and edges occurring independently with probability $p=p(n)$. In the online model, vertices on one…

数据结构与算法 · 计算机科学 2013-07-10 Andrew Mastin , Patrick Jaillet

We consider a large-scale parallel-server system, where each server independently adjusts its processing speed in a decentralized manner. The objective is to minimize the overall cost, which comprises the average cost of maintaining the…

最优化与控制 · 数学 2023-06-06 Daan Rutten , Martin Zubeldia , Debankur Mukherjee

We study the online load balancing problem on unrelated machines, with the objective of minimizing the square of the $\ell_2$ norm of the loads on the machines. The greedy algorithm of Awerbuch et al. (STOC'95) is optimal for deterministic…

数据结构与算法 · 计算机科学 2025-11-06 Sander Borst , Danish Kashaev

A parallel server system is a stochastic processing network with applications in manufacturing, supply chain, ride-hailing, call centers, etc. Heterogeneous customers arrive in the system, and only a subset of servers can serve any customer…

网络与互联网体系结构 · 计算机科学 2023-01-10 Sushil Mahavir Varma , Siva Theja Maguluri

We consider a distributed server system consisting of a large number of servers, each with limited capacity on multiple resources (CPU, memory, disk, etc.). Jobs with different rewards arrive over time and require certain amounts of…

分布式、并行与集群计算 · 计算机科学 2020-05-29 Konstantinos Psychas , Javad Ghaderi

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

We study adaptive greedy algorithms for the problems of stochastic set cover with perfect and imperfect coverages. In stochastic set cover with perfect coverage, we are given a set of items and a ground set B. Evaluating an item reveals its…

数据结构与算法 · 计算机科学 2018-06-19 Srinivasan Parthasarathy

Collective communications are ubiquitous in parallel applications. We present two new algorithms for performing a reduction. The operation associated with our reduction needs to be associative and commutative. The two algorithms are…

分布式、并行与集群计算 · 计算机科学 2013-10-18 Bradley R. Lowery , Julien Langou

We consider a model inspired by compatibility constraints that arise between tasks and servers in data centers, cloud computing systems and content delivery networks. The constraints are represented by a bipartite graph or network that…

概率论 · 数学 2024-04-10 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

We consider the problem of staffing large-scale service systems with multiple customer classes and multiple dedicated server pools under joint quality-of-service (QoS) constraints. We first analyze the case in which arrival rates are…

概率论 · 数学 2013-04-25 Jing Zan , John J. Hasenbein , David P. Morton

We aim to maximize the energy efficiency, gauged as average energy cost per job, in a large-scale server farm with various storage or/and computing components modeled as parallel abstracted servers. Each server operates in multiple power…

最优化与控制 · 数学 2023-10-23 Jing Fu , Xinyu Wang , Zengfu Wang , Moshe Zukerman

Motivated by applications in online marketplaces such as ride-hailing, we study how strategic servers impact the system performance. We consider a discrete-time process in which, heterogeneous types of customers and servers arrive. Each…

最优化与控制 · 数学 2021-06-25 Sushil Mahavir Varma , Francisco Castro , Siva Theja Maguluri

We introduce optimal algorithms for the problems of data placement (DP) and page placement (PP) in networks with a constant number of clients each of which has limited storage availability and issues requests for data objects. The objective…

数据结构与算法 · 计算机科学 2013-09-30 Eric Angel , Evripidis Bampis , Gerasimos G. Pollatos , Vassilis Zissimopoulos

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…

数据结构与算法 · 计算机科学 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

We consider the maximum bipartite matching problem in stochastic settings, namely the query-commit and price-of-information models. In the query-commit model, an edge e independently exists with probability $p_e$. We can query whether an…

数据结构与算法 · 计算机科学 2019-10-15 Buddhima Gamlath , Sagar Kale , Ola Svensson