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A heterogeneous closed network with one-server queues with finite capacity and one infinite-server queue is studied. A target application is bike-sharing systems. Heterogeneity is taken into account through clusters whose queues have the…

适应与自组织系统 · 物理学 2014-05-26 Christine Fricker , Nicolas Servel

In this paper, we present counter-intuitive examples for the multiclass queueing network system. In the system, each station may serve more than one job class with differentiated service priority, and each job may require service…

概率论 · 数学 2007-05-23 Heng-Qing Ye

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

最优化与控制 · 数学 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

最优化与控制 · 数学 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

理论经济学 · 经济学 2022-12-01 Ata Atay , Christian Trudeau

We consider discrete-time infinite horizon deterministic optimal control problems with nonnegative cost per stage, and a destination that is cost-free and absorbing. The classical linear-quadratic regulator problem is a special case. Our…

最优化与控制 · 数学 2017-12-20 Dimitri P. Bertsekas

We consider the load balancing system under Poisson arrivals, exponential services, and homogeneous servers. Upon arrival, a job is to be routed to one of the servers, where it is queued until service. We consider the Power-of-$d$ choices…

概率论 · 数学 2025-03-26 Sushil Mahavir Varma , Francisco Castro , Siva Theja Maguluri

We consider a system of $N$ parallel queues with identical exponential service rates and a single dispatcher where tasks arrive as a Poisson process. When a task arrives, the dispatcher always assigns it to an idle server, if there is any,…

概率论 · 数学 2016-12-14 D. Mukherjee , S. C. Borst , J. S. H. van Leeuwaarden , P. A. Whiting

A broad class of parallel server systems is considered, for which we prove the steady-state asymptotic independence of server workloads, as the number of servers goes to infinity, while the system load remains sub-critical. Arriving jobs…

概率论 · 数学 2020-12-21 Seva Shneer , Alexander Stolyar

We develop many-server asymptotics in the QED regime for models with admission control. The admission control, designed to reduce the incoming traffic in periods of congestion, scales with the size of the system. For a class of Markovian…

概率论 · 数学 2013-07-05 A. J. E. M. Janssen , J. S. H. van Leeuwaarden , Jaron Sanders

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time;…

数据结构与算法 · 计算机科学 2017-02-01 Fidaa Abed , Lin Chen , Yann Disser , Martin Groß , Nicole Megow , Julie Meißner , Alexander T. Richter , Roman Rischke

This paper considers linear-quadratic control of a non-linear dynamical system subject to arbitrary cost. I show that for this class of stochastic control problems the non-linear Hamilton-Jacobi-Bellman equation can be transformed into a…

综合物理 · 物理学 2009-11-11 H. J. Kappen

This dissertation proposes two solutions for urban traffic control in the presence of connected and automated vehicles. First a centralized platoon-based controller is proposed for the cooperative intersection management problem that takes…

机器学习 · 计算机科学 2020-12-11 Masoud Bashiri

This paper proposes a novel max-pressure (MP) algorithm that incorporates pedestrian traffic into the MP control architecture. Pedestrians are modeled as being included in one of two groups: those walking on sidewalks and those queued at…

系统与控制 · 电气工程与系统科学 2024-09-26 Hao Liu , Vikash V. Gayah , Michael Levin

The problem of time-constrained multi-agent task scheduling and control synthesis is addressed. We assume the existence of a high level plan which consists of a sequence of cooperative tasks, each of which is associated with a deadline and…

系统与控制 · 计算机科学 2018-09-20 Pian Yu , Dimos V. Dimarogonas

In this contribution, we introduce an efficient method for solving the optimal control problem for an unconstrained nonlinear switched system with an arbitrary cost function. We assume that the sequence of the switching modes are given but…

系统与控制 · 计算机科学 2017-11-08 Farbod Farshidian , Maryam Kamgarpour , Diego Pardo , Jonas Buchli

This paper presents a new model for solving the optimal server location problem in a spatial hypercube queueing model. Unlike deterministic location models, our approach accounts for server availability, varying utilization levels, and…

最优化与控制 · 数学 2025-11-21 Cheng Hua , Arthur J. Swersey , Wenqian Xing , Yi Zhang

We consider an arbitrary network of $M/M/\infty$ queues with controlled transitions between queues. We consider optimal control problems where the costs are linear functions of the state and inputs over a finite or infinite horizon. We…

最优化与控制 · 数学 2025-09-11 Giovanni Pugliese Carratelli , Ioannis Lestas

In most service systems, the servers are humans who desire to experience a certain level of idleness. In call centers, this manifests itself as the call avoidance behavior, where servers strategically adjust their service rate to strike a…

概率论 · 数学 2025-05-28 Burak Büke , Goncalo dos Reis , Vadim Platonov

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…

分布式、并行与集群计算 · 计算机科学 2026-02-04 Tamoghna Sarkar , Bhaskar Krishnamachari
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