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The task allocation problem in multi-robot systems (MRTA) is an NP-hard problem whose viable solutions are usually found by heuristic algorithms. Considering the increasing need of improvement on logistics, the use of robots for increasing…

Robotics · Computer Science 2022-03-02 George S. Oliveira , Juha Röning , Patricia D. M. Plentz , Jônata T. Carvalho

We study the design of dynamic scheduling controls in closed queueing networks with a fixed number of jobs. Each time a server becomes available, the controller has (limited) flexibility in choosing the buffer from which to serve a job. If…

Probability · Mathematics 2022-10-18 Siddhartha Banerjee , Yash Kanoria , Pengyu Qian

Efficient multi-robot task allocation (MRTA) is fundamental to various time-sensitive applications such as disaster response, warehouse operations, and construction. This paper tackles a particular class of these problems that we call…

Multiagent Systems · Computer Science 2023-08-21 Steve Paul , Wenyuan Li , Brian Smyth , Yuzhou Chen , Yulia Gel , Souma Chowdhury

We consider a system with several job types and two parallel server pools. Within the pools the servers are homogeneous, but across pools possibly not in the sense that the service speed of a job may depend on its type as well as the server…

Performance · Computer Science 2020-05-28 Youri Raaijmakers , Sem Borst , Onno Boxma

Maximizing throughput for heterogeneous parallel server queues has received quite a bit of attention from the research community and the stability region for such systems is well understood. However, many real-world systems have periods…

Dynamical Systems · Mathematics 2011-08-31 Carri W. Chan , Mor Armony , Nicholas Bambos

In this note, we apply Stein's method to analyze the performance of general load balancing schemes in the many-server heavy-traffic regime. In particular, consider a load balancing system of $N$ servers and the distance of arrival rate to…

Probability · Mathematics 2020-04-28 Xingyu Zhou , Ness Shroff

This paper explores resource allocation in serverless cloud computing platforms and proposes an optimization approach for autoscaling systems. Serverless computing relieves users from resource management tasks, enabling focus on application…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-31 Harold Ship , Evgeny Shindin , Chen Wang , Diana Arroyo , Asser Tantawi

When parallelizing a set of jobs across many servers, one must balance a trade-off between granting priority to short jobs and maintaining the overall efficiency of the system. When the goal is to minimize the mean flow time of a set of…

Performance · Computer Science 2020-11-24 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

We consider a load balancing system comprised of a fixed number of single server queues, operating under the well-known Join-the-Shortest Queue policy, and where jobs/customers are impatient and abandon if they do not receive service after…

Probability · Mathematics 2023-04-05 Prakirt Raj Jhunjhunwala , Martin Zubeldia , Siva Theja Maguluri

Recent development of peer-to-peer (P2P) services (e.g. streaming, file sharing, and storage) systems introduces a new type of queue systems that receive little attention before, where both job and server arrive and depart randomly. Current…

Performance · Computer Science 2016-05-11 Taoyu Li , Minghua Chen , Tony Lee , Xing Li

The model is a service system, consisting of several large server pools. A server processing speed and buffer size (which may be finite or infinite) depend on the pool. The input flow of customers is split equally among a fixed number of…

Probability · Mathematics 2016-08-05 Alexander Stolyar

Speed scaling for a tandem server setting is considered, where there is a series of servers, and each job has to be processed by each of the servers in sequence. Servers have a variable speed, their power consumption being a convex…

Data Structures and Algorithms · Computer Science 2019-07-11 Rahul Vaze , Jayakrishnan Nair

We consider a system of parallel queues where tasks are assigned (dispatched) to one of the available servers upon arrival. The dispatching decision is based on the full state information, i.e., on the sizes of the new and existing jobs. We…

Performance · Computer Science 2012-03-23 Esa Hyytiä , Samuli Aalto , Aleksi Penttinen

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

We consider load balancing in service systems with affinity relations between jobs and servers. Specifically, an arriving job can be allocated to a fast, primary server from a particular selection associated with this job or to a secondary…

Probability · Mathematics 2018-12-31 Ellen Cardinaels , Sem C. Borst , Johan S. H. van Leeuwaarden

Streaming applications frequently encounter skewed workloads and execute on heterogeneous clusters. Optimal resource utilization in such adverse conditions becomes a challenge, as it requires inferring the resource capacities and input…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Muhammad Anis Uddin Nasir , Hiroshi Horii , Marco Serafini , Nicolas Kourtellis , Rudy Raymond , Sarunas Girdzijauskas , Takayuki Osogami

We study a robust control problem for dynamical flow networks. In the considered dynamical models, traffic flows along the links of a transportation network --modeled as a capacited multigraph-- and queues up at the nodes, whereby control…

Systems and Control · Electrical Eng. & Systems 2020-12-24 Gustav Nilsson , Giacomo Como

In this thesis, we propose and analyze a multi-server model that captures a performance trade-off between centralized and distributed processing. In our model, a fraction $p$ of an available resource is deployed in a centralized manner…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-23 Kuang Xu

This paper studies an important rate allocation problem that arises in many networked and distributed systems: steady-state traffic rate allocation from multiple sources to multiple service nodes when both (i) the access-path delay on each…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Tamoghna Sarkar , Bhaskar Krishnamachari

This paper studies the heavy-traffic joint distribution of queue lengths in two stochastic processing networks (SPN), viz., an input-queued switch operating under the MaxWeight scheduling policy and a two-server parallel server system…

Probability · Mathematics 2023-09-19 Prakirt Raj Jhunjhunwala , Siva Theja Maguluri