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Related papers: Dynamic Transfer Policies for Parallel Queues

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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

This paper studies a sequential decision-making problem in a two-stage queueing system modeled after operations in CVS MinuteClinics, where nurse practitioners (NPs) oversee patient care throughout the entire visit. All services are…

Optimization and Control · Mathematics 2026-03-11 Shuwen Lu , Mark E. Lewis , Jamol Pender

We consider the optimal appointment scheduling problem that incorporates patients' unpunctual behavior, where the unpunctuality is assumed to be time dependent, but additive. Our goal is to develop an optimal scheduling method for a large…

Optimization and Control · Mathematics 2024-12-30 Nikolai Lipscomb , Xin Liu , Vidyadhar G. Kulkarni

This paper considers a parallel system of queues fed by independent arrival streams, where the service rate of each queue depends on the number of customers in all of the queues. Necessary and sufficient conditions for the stability of the…

Probability · Mathematics 2010-01-12 Sem Borst , Matthieu Jonckheere , Lasse Leskelä

We study a large-scale patrol problem with state-dependent costs and multi-agent coordination.We consider heterogeneous agents, rather general reward functions, and the capabilities of tracking agents' trajectories.Given the complexity and…

Optimization and Control · Mathematics 2024-12-12 Jing Fu , Zengfu Wang , Jie Chen

We consider the problem of minimizing queue-length costs in a system with heterogenous parallel servers, operating in a many-server heavy-traffic regime with nondegenerate slowdown. This regime is distinct from the well-studied heavy…

Probability · Mathematics 2014-03-24 Rami Atar , Itai Gurvich

We study the problem of equitably and efficiently allocating an arriving resource to multiple queues with customer abandonment. The problem is motivated by the cadaveric liver allocation system of the United States, which includes a large…

Optimization and Control · Mathematics 2023-09-19 Shukai Li , Sanjay Mehrotra

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

We study a stochastic perishable inventory control problem with endogenous (decision-dependent) uncertainty in shelf-life of units. Our primary motivation is determining ordering policies for blood platelets. Determining optimal ordering…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Hossein Abouee-Mehrizi , Mahdi Mirjalili , Vahid Sarhangian

We investigate an optimal scheduling problem in a discrete-time system of L parallel queues that are served by K identical, randomly connected servers. Each queue may be connected to a subset of the K servers during any given time slot.…

Information Theory · Computer Science 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis

We consider a discrete-time parallel service system consisting of $n$ heterogeneous single server queues with infinite capacity. Jobs arrive to the system as an i.i.d. process with rate proportional to $n$, and must be immediately…

Performance · Computer Science 2025-05-30 Yishun Luo , Martin Zubeldia

We study a control problem for queueing systems where customers may return for additional episodes of service after their initial service completion. At each service completion epoch, the decision maker can choose to reduce the probability…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Timothy C. Y. Chan , Simon Y. Huang , Vahid Sarhangian

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

We study the scheduling polices for asymptotically optimal delay in queueing systems with switching overhead. Such systems consist of a single server that serves multiple queues, and some capacity is lost whenever the server switches to…

Performance · Computer Science 2017-01-17 Ping-Chun Hsieh , I-Hong Hou , Xi Liu

This paper first presents a parallel solution for the Flowshop Scheduling Problem in parallel environment, and then proposes a novel load balancing strategy. The proposed Proportional Fairness Strategy (PFS) takes computational performance…

Networking and Internet Architecture · Computer Science 2008-09-22 Zheng Sun , Xiaohong Huang , Yan Ma

A key operational challenge for call centers is to decide, in real time, which waiting customer should be served by which available agent. This is known as skill-based routing, and the decision becomes especially difficult in large systems…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Baris Ata , Ebru Kasikaralar

In mobile edge computing, local edge servers can host cloud-based services, which reduces network overhead and latency but requires service migrations as users move to new locations. It is challenging to make migration decisions optimally…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-10 Shiqiang Wang , Rahul Urgaonkar , Murtaza Zafer , Ting He , Kevin Chan , Kin K. Leung

This paper studies a 2-class, 2-server parallel server system under the recently introduced extended heavy traffic condition, which states that the underlying 'static allocation' linear program (LP) is critical, but does not require that it…

Optimization and Control · Mathematics 2022-07-19 Rami Atar , Eyal Castiel , Marty Reiman

Motivated by applications in online marketplaces such as ride-hailing platforms and payment channel networks, we study a single-server queue with state-dependent arrival control. The service operator dynamically chooses the arrival rate as…

Optimization and Control · Mathematics 2026-02-03 Tianze Qu , Sushil Mahavir Varma

We consider two-stage tandem queueing systems with one dedicated server in each station and a flexible server that can serve both stations. We assume exponential service times, linear holding costs accrued by jobs present in the system, and…

Systems and Control · Computer Science 2019-04-12 Ioannis Papachristos , Dimitrios G. Pandelis