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We introduce an original minimax framework for finite-time performance analysis in queueing control and propose a surprisingly simple Lyapunov-based scheduling policy with superior finite-time performance. The framework quantitatively…

Optimization and Control · Mathematics 2025-12-01 Yujie Liu , Vincent Y. F. Tan , Yunbei Xu

We consider a general class of dynamic resource allocation problems within a stochastic optimal control framework. This class of problems arises in a wide variety of applications, each of which intrinsically involves resources of different…

Optimization and Control · Mathematics 2018-01-08 Xuefeng Gao , Yingdong Lu , Mayank Sharma , Mark S. Squillante , Joost W. Bosman

The presented study elaborates a multi-server priority queueing model considering the pre-emptive repeat policy and phase-type distribution (PH) for retrial process. The incoming heterogeneous calls are categorized as handoff calls and new…

Optimization and Control · Mathematics 2021-08-03 Raina Raj , Vidyottama Jain

We consider a single-hop switched queueing network. Amongst a plethora of applications, these networks have been used to model wireless networks and input queued switches. The MaxWeight scheduling policies have proved popular, chiefly,…

Optimization and Control · Mathematics 2013-01-17 N. S. Walton

This paper presents a second-order heavy traffic analysis of a single server queue that processes customers having deadlines using the earliest-deadline-first scheduling policy. For such systems, referred to as real-time queueing systems,…

Probability · Mathematics 2007-05-23 Łukasz Kruk , John Lehoczky , Steven Shreve

We consider a multi-class queueing model of a telephone call center, in which a system manager dynamically allocates available servers to customer calls. Calls can terminate through either service completion or customer abandonment, and the…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Baris Ata , Ebru Kasikaralar

We consider the optimal duration allocation in a decision making queue. Decision making tasks arrive at a given rate to a human operator. The correctness of the decision made by human evolves as a sigmoidal function of the duration…

Optimization and Control · Mathematics 2010-10-11 Vaibhav Srivastava , Ruggero Carli , Francesco Bullo , Cédric Langbort

Denied boarding in congested transit systems induces queuing delays and departure-time shifts that can reshape passenger flows. Correctly modeling these responses in transit assignment hinges on the enforcement of two priority rules:…

Computer Science and Game Theory · Computer Science 2026-01-13 Liyang Feng , Hanlin Sun , Yu Marco Nie , Jun Xie , Jiayang Li

We consider a controlled double-ended queue consisting of two classes of customers, labeled sellers and buyers. The sellers and buyers arrive in a trading market according to two independent renewal processes. Whenever there is a seller and…

Optimization and Control · Mathematics 2022-01-20 Xin Liu , Ananda Weerasinghe

The design of a scheduling scheme is crucial for the efficiency and user-fairness of wireless networks. Assuming that the quality of all user channels is available to a central controller, a simple scheme which maximizes the utility…

Information Theory · Computer Science 2010-09-15 Hui Zhou , Pingyi Fan , Dongning Guo

In generalized malleable scheduling, jobs can be allocated and processed simultaneously on multiple machines so as to reduce the overall makespan of the schedule. The required processing time for each job is determined by the joint…

Discrete Mathematics · Computer Science 2021-11-22 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We consider the resource allocation problem in cellular networks which support Device-to-Device Communications (D2D). For systems that enable D2D via only orthogonal resource sharing, we propose and analyze two resource allocation policies…

Information Theory · Computer Science 2015-03-31 PhuongBang Nguyen , Bhaskar Rao

How should we schedule jobs to minimize mean queue length? In the preemptive M/G/1 queue, we know the optimal policy is the Gittins policy, which uses any available information about jobs' remaining service times to dynamically prioritize…

Performance · Computer Science 2023-11-14 Yige Hong , Ziv Scully

This paper considers a multi-process and multi-controller wireless networked control system (WNCS). There are $N$ independent linear time-invariant processes in the system plant which represent different kinds of physical processes. By…

Systems and Control · Electrical Eng. & Systems 2021-09-28 Yifei Qiu , Shaohua Wu , Ying Wang

We introduce a natural but seemingly yet unstudied generalization of the problem of scheduling jobs on a single machine so as to minimize the number of tardy jobs. Our generalization lies in simultaneously considering several instances of…

Discrete Mathematics · Computer Science 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

In this paper, we study optimal control problems for multiclass GI/M/n+M queues in an alternating renewal (up-down) random environment in the Halfin-Whitt regime. Assuming that the downtimes are asymptotically negligible and only the…

Optimization and Control · Mathematics 2019-08-20 Ari Arapostathis , Guodong Pang , Yi Zheng

In real-time systems, priorities assigned to real-time tasks determine the order of task executions, by relying on an underlying task scheduling policy. Assigning optimal priority values to tasks is critical to allow the tasks to complete…

Software Engineering · Computer Science 2023-08-14 Jaekwon Lee , Seung Yeob Shin , Shiva Nejati , Lionel C. Briand

Problem definition: In many matching markets, some agents are fully flexible, while others only accept a subset of jobs. For example, ridesharing drivers can specify on the platform the destinations they are willing to accept. Conventional…

Computer Science and Game Theory · Computer Science 2026-01-30 Chiwei Yan , Francisco Castro , Peter Frazier , Hongyao Ma , Hamid Nazerzadeh

Multiserver jobs, which are jobs that occupy multiple servers simultaneously during service, are prevalent in today's computing clusters. But little is known about the delay performance of systems with multiserver jobs. We consider queueing…

Performance · Computer Science 2023-04-17 Yige Hong , Weina Wang

In this paper, we consider the following dynamic fair allocation problem: Given a sequence of job arrivals and departures, the goal is to maintain an approximately fair allocation of the resource against a target fair allocation policy,…

Data Structures and Algorithms · Computer Science 2020-01-22 Sungjin Im , Benjamin Moseley , Kamesh Munagala , Kirk Pruhs
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