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A service system with multiple types of arriving customers is considered. There is an infinite number of homogeneous servers. Multiple customers can be placed for simultaneous service into one server, subject to general packing constraints.…

Probability · Mathematics 2020-11-23 Alexander Stolyar , Yuan Zhong

We study the steady-state performance of parallel-server systems under an immediate routing architecture with two sources of heterogeneity: servers and job classes, subject to compatibility constraints. We focus on the…

Probability · Mathematics 2025-09-25 Yaosheng Xu

Serverless computing promises convenient abstractions for developing and deploying functions that execute in response to events. In such Function-as-a-Service (FaaS) platforms, scheduling is an integral task, but current scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Saman Akbari , Manfred Hauswirth

In this paper we consider a single-server, cyclic polling system with switch-over times and Poisson arrivals. The service disciplines that are discussed, are exhaustive and gated service. The novel contribution of the present paper is that…

Probability · Mathematics 2014-08-04 Marko Boon

Consider a fully connected network of nodes, some of which have a piece of data to be disseminated to the whole network. We analyze the following push-type epidemic algorithm: in each push round, every node that has the data, i.e., every…

Probability · Mathematics 2014-03-12 Mine Caglar , Ali Devin Sezer

The paper studies a multiserver retrial queueing system with $m$ servers. Arrival process is a point process with strictly stationary and ergodic increments. A customer arriving to the system occupies one of the free servers. If upon…

Probability · Mathematics 2021-07-01 Vyacheslav M. Abramov

This paper presents a modeling and optimization framework to study congestion-aware ride-pooling Autonomous Mobility-on-Demand (AMoD) systems, whereby self-driving robotaxis are providing on-demand mobility, and users headed in the same…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Fabio Paparella , Leonardo Pedroso , Theo Hofman , Mauro Salazar

This paper presents a framework to incorporate ride-pooling from a mesoscopic point of view, within time-invariant network flow models of Mobility-on-Demand systems. The resulting problem structure remains identical to a standard network…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Fabio Paparella , Leonardo Pedroso , Theo Hofman , Mauro Salazar

We consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

Data Structures and Algorithms · Computer Science 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell

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…

Networking and Internet Architecture · Computer Science 2023-01-10 Sushil Mahavir Varma , Siva Theja Maguluri

Ride-pooling (RP) service, as a form of shared mobility, enables multiple riders with similar itineraries to share the same vehicle and split the fee. This makes RP a promising on-demand feeder service for patrons with a common trip end in…

Networking and Internet Architecture · Computer Science 2024-11-05 Wenbo Fan , Xiaotian Yan , Zhanbo Sun , Xiaohui Yang

Ride-pooling services, such as UberPool and Lyft Shared Saver, enable a single vehicle to serve multiple customers within one shared trip. Efficient path-planning algorithms are crucial for improving the performance of such systems. For…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Pengbo Zhu , Giancarlo Ferrari-Trecate , Nikolas Geroliminis

We study probabilistic protocols for concurrent threshold-based load balancing in networks. There are n resources or machines represented by nodes in an undirected graph and m >> n users that try to find an acceptable resource by moving…

Data Structures and Algorithms · Computer Science 2013-06-07 Martin Hoefer , Thomas Sauerwald

Modern computing workloads are often composed of parallelizable jobs. A parallelizable job can be completed more quickly when run on additional servers. However, each job can only use a limited number of servers, known as its…

Performance · Computer Science 2025-12-30 Benjamin Berg , Benjamin Moseley , Weina Wang , Mor Harchol-Balter

The emergence of on-demand ride pooling services allows each vehicle to serve multiple passengers at a time, thus increasing drivers' income and enabling passengers to travel at lower prices than taxi/car on-demand services (only one…

Artificial Intelligence · Computer Science 2024-01-09 Xianjie Zhang , Jiahao Sun , Chen Gong , Kai Wang , Yifei Cao , Hao Chen , Hao Chen , Yu Liu

We study $n$ parallel queues in an extreme heavy-traffic regime: each server works at rate $n$, while jobs arrive to a dispatcher at rate $n^2-(a-b)\sqrt{n}$, with fixed $a>b>0$. Arrivals are routed by a marginal join-the-shortest-queue…

Probability · Mathematics 2026-05-19 Sayan Banerjee , Amarjit Budhiraja , Eva Loeser

In this paper, we consider an $N$-queue overloaded polling network attended by a single cyclically roving server. Upon the completion of his service, a customer is either routed to another queue or leaves the system. All the switches are…

Probability · Mathematics 2017-01-17 Zaiming Liu , Yuejiao Wang , Yuqing Chu , Yingqiu Li

One of the most relevant challenges regarding on-demand ridepooling relates to the spatial imbalances of the demand, which induce a mismatch between the position of the vehicles and the origins of the emerging requests. Most ridepooling…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Andres Fielbaum , Maximilian Kronmuller , Javier Alonso-Mora

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia

In this work, we develop a distributed source routing algorithm for topology discovery suitable for ISP transport networks, that is however inspired by opportunistic algorithms used in ad hoc wireless networks. We propose a plug-and-play…

Networking and Internet Architecture · Computer Science 2011-05-02 Christophe Betoule , Thomas Bonald , Remi Clavier , Dario Rossi , Giuseppe Rossini , Gilles Thouenon