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The considered problem is how to optimally allocate a set of jobs to technicians of different skills such that the number of technicians of each skill does not exceed the number of persons with that skill designation. The key motivation is…

Artificial Intelligence · Computer Science 2018-03-06 Nima Safaei , Corey Kiassat

We consider the following distributed service model: jobs with unit mean, general distribution, and independent processing times arrive as a renewal process of rate $\lambda n$, with $0<\lambda<1$, and are immediately dispatched to one of…

Probability · Mathematics 2018-07-10 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

We consider the problem of designing a packet-level congestion control and scheduling policy for datacenter networks. Current datacenter networks primarily inherit the principles that went into the design of Internet, where congestion…

Networking and Internet Architecture · Computer Science 2017-10-10 Devavrat Shah , Qiaomin Xie

Motivated by applications from gig economy and online marketplaces, we study a two-sided queueing system under joint pricing and matching controls. The queueing system is modeled by a bipartite graph, where the vertices represent customer…

Optimization and Control · Mathematics 2025-03-12 Sushil Mahavir Varma , Pornpawee Bumpensanti , Siva Theja Maguluri , He Wang

This paper presents exact derivations of the first two moments of the total picking time in a warehouse for four routing heuristics, under the assumption of random storage. The analysis is done for general order size distributions and…

Probability · Mathematics 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

This study focuses on order dispatch decisions within two-echelon supply chains, where order dispatch creates economic shipments to reduce delivery costs. Dispatching orders is often constrained by delivery windows, leading to penalty costs…

Computational Engineering, Finance, and Science · Computer Science 2024-01-09 Khalid Y. Aram

Random delays between the occurrence of accident events and the corresponding reporting times of insurance claims is a standard feature of insurance data. The time lag between the reporting and the processing of a claim depends on whether…

Risk Management · Quantitative Finance 2024-09-17 Filip Lindskog , Mario V. Wüthrich

In modern computing systems, jobs' resource requirements often vary over time. Accounting for this temporal variability during job scheduling is essential for meeting performance goals. However, theoretical understanding on how to schedule…

Performance · Computer Science 2023-11-01 Yige Hong , Qiaomin Xie , Weina Wang

Motivated by few delay-optimal scheduling results, in comparison to results on throughput optimality, we investigate a canonical input-queued switch scheduling problem in which the objective is to minimize the discounted delay cost over an…

Optimization and Control · Mathematics 2023-02-14 Yingdong Lu , Siva Theja Maguluri , Mark S. Squillante , Tonghoon Suk , Xiaofan Wu

We investigate an optimization problem in a queueing system where the service provider selects the optimal service fee p and service capacity \mu to maximize the cumulative expected profit (the service revenue minus the capacity cost and…

Optimization and Control · Mathematics 2025-08-12 Xinyun Chen , Guiyu Hong , Yunan Liu

Searching for a parking spot can waste time and gasoline. This waste can be reduced by assigning drivers to parking lots based on their destination and arrival time. In such a system, drivers could request a parking spot in advance and be…

Optimization and Control · Mathematics 2015-07-14 Nicole Taheri , Jia Yuan Yu , Robert Shorten

In High Performance Computing (HPC) infrastructures, the control of resources by batch systems can lead to prolonged queue waiting times and adverse effects on the overall execution times of applications, particularly in data-intensive and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-19 Abel Souza , Kristiaan Pelckmans , Devarshi Ghoshal , Lavanya Ramakrishnan , Johan Tordsson

Modern data centers are tasked with processing heterogeneous workloads consisting of various classes of jobs. These classes differ in their arrival rates, size distributions, and job parallelizability. With respect to paralellizability,…

Performance · Computer Science 2020-05-21 Benjamin Berg , Mor Harchol-Balter , Benjamin Moseley , Weina Wang , Justin Whitehouse

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

The notion of 'resource' plays an important role in the overall efficiency and performance of most cross-docks. The processing time can often be described in terms of the resources allocated to different trucks. Conversely, for a given…

Optimization and Control · Mathematics 2023-11-07 Rahimeh Neamatian Monemia , Shahin Gelareh

Consider a system in which tasks of different execution times arrive continuously and have to be executed by a set of processors that are prone to crashes and restarts. In this paper we model and study the impact of parallelism and failures…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-11 Antonio Fernández Anta , Chryssis Georgiou , Dariusz R. Kowalski , Elli Zavou

In this paper we consider a single-server polling system with switch-over times. We introduce a new service discipline, mixed gated/exhaustive service, that can be used for queues with two types of customers: high and low priority…

Probability · Mathematics 2014-08-04 Marko Boon , Ivo Adan

Deep neural networks training jobs and other iterative computations frequently include checkpoints where jobs can be canceled based on the current value of monitored metrics. While most of existing results focus on the performance of all…

Performance · Computer Science 2022-09-30 Yuan Yao , Marco Paolieri , Leana Golubchik

We study a class of scheduling problems, where each job is divided into a batch of unit-size tasks and these tasks can be executed in parallel on multiple servers with New-Better-than-Used (NBU) service time distributions. While many delay…

Networking and Internet Architecture · Computer Science 2023-10-02 Yin Sun , C. Emre Koksal , Ness B. Shroff

We study the problem of scheduling periodic real-time tasks so as to meet their individual minimum reward requirements. A task generates jobs that can be given arbitrary service times before their deadlines. A task then obtains rewards…

Other Computer Science · Computer Science 2010-07-06 I-Hong Hou , P. R. Kumar