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Markov automata combine non-determinism, probabilistic branching, and exponentially distributed delays. This compositional variant of continuous-time Markov decision processes is used in reliability engineering, performance evaluation and…

Logic in Computer Science · Computer Science 2017-05-11 Tim Quatmann , Sebastian Junges , Joost-Pieter Katoen

The sporadic task model is often used to analyze recurrent execution of identical tasks in real-time systems. A sporadic task defines an infinite sequence of task instances, also called jobs, that arrive under the minimum inter-arrival time…

Operating Systems · Computer Science 2018-03-01 Jian-Jia Chen , Georg von der Brüggen , Niklas Ueter

A "scheduled" arrival process is one in which the n th arrival is scheduled for time n, but instead occurs at a different time. The difference between the scheduled time and the arrival time is called the perturbation. The sequence of…

Probability · Mathematics 2021-02-16 V. F. Araman , H. Chen , P. W. Glynn , L. Xia

Preferences play a key role in determining what goals/constraints to satisfy when not all constraints can be satisfied simultaneously. In this work, we study preference-based planning in a stochastic system modeled as a Markov decision…

Formal Languages and Automata Theory · Computer Science 2022-03-28 Abhishek Ninad Kulkarni , Jie Fu

We consider the partitioned scheduling problem of multimode real-time systems upon identical multiprocessor platforms. During the execution of a multimode system, the system can change from one mode to another such that the current task set…

Operating Systems · Computer Science 2013-06-07 Joël Goossens , Pascal Richard

Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches…

Machine Learning · Computer Science 2025-10-08 Nikolai Antonov , Prěmysl Šůcha , Mikoláš Janota , Jan Hůla

The stochastic knapsack has been used as a model in wide ranging applications from dynamic resource allocation to admission control in telecommunication. In recent years, a variation of the model has become a basic tool in studying problems…

Pricing of Securities · Quantitative Finance 2008-12-02 Grace Lin , Yingdong Lu , David Yao

Switched linear systems are time-varying nonlinear systems whose dynamics switch between different modes, where each mode corresponds to different linear dynamics. They arise naturally to model unexpected failures, environment uncertainties…

Optimization and Control · Mathematics 2019-04-26 Bo Wu , Murat Cubuktepe , Ufuk Topcu

We investigate a processor sharing queue with renewal arrivals and generally distributed service times. Impatient jobs may abandon the queue, or renege, before completing service. The corresponding stochastic processes are represented by…

Probability · Mathematics 2009-08-25 Christian H. Gromoll , Philippe Robert , Bert Zwart

We study the Patient Assignment Scheduling (PAS) problem in a random environment that arises in the management of patient flow in the hospital systems, due to the stochastic nature of the arrivals as well as the Length of Stay distribution.…

This study investigates a stochastic production planning problem with regime-switching parameters, inspired by economic cycles impacting production and inventory costs. The model considers types of goods and employs a Markov chain to…

Analysis of PDEs · Mathematics 2025-05-14 Dragos-Patru Covei

We consider the problem of scheduling in multi-class, parallel-server queuing systems with uncertain rewards from job-server assignments. In this scenario, jobs incur holding costs while awaiting completion, and job-server assignments yield…

Machine Learning · Computer Science 2025-08-15 Jung-hun Kim , Milan Vojnovic

In this paper, we consider the gradual-impulse control problem of continuous-time Markov decision processes, where the system performance is measured by the expectation of the exponential utility of the total cost. We prove, under very…

Optimization and Control · Mathematics 2023-11-16 Xin Guo , Aiko Kurushima , Alexey Piunovskiy , Yi Zhang

This paper addresses a scheduling problem in the context of a cyber-physical system where a sensor and a controller communicate over an unreliable channel. The sensor observes the state of a source at each time, and according to a…

Optimization and Control · Mathematics 2025-02-25 Saad Kriouile , Mohamad Assaad , Touraj Soleymani

We consider a multi-stage stochastic lot-sizing problem with service level constraints and supplier-driven product substitution. A firm has multiple products and it has the option to meet demand from substitutable products at a cost.…

Optimization and Control · Mathematics 2023-01-03 Narges Sereshti , Merve Bodur , James R. Luedtke

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

In this paper, we study pinning control problem of coupled dynamical systems with stochastically switching couplings and stochastically selected controller-node set. Here, the coupling matrices and the controller-node sets change with time,…

Systems and Control · Computer Science 2014-04-29 Yujuan Han , Wenlian Lu , Zhe Li , Tianping Chen

In this paper, we study joint queue-aware and channel-aware scheduling of arbitrarily bursty traffic over multi-state time-varying channels, where the bursty packet arrival in the network layer, the backlogged queue in the data link layer,…

Information Theory · Computer Science 2016-06-06 Meng Wang , Juan Liu , Wei Chen

This paper presents a novel methodology to develop scheduling algorithms. The scheduling problem is phrased as a control problem, and control-theoretical techniques are used to design a scheduling algorithm that meets specific requirements.…

Systems and Control · Computer Science 2010-09-20 Carlo A. Furia , Alberto Leva , Martina Maggio , Paola Spoletini

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
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