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We consider a Markovian single server queue with impatient customers. There is a customer abandonment cost and a holding cost for customers in the system. We consider two versions of the problem. In the first version, customers pay a reward…

Optimization and Control · Mathematics 2025-11-12 Runhua Wu , Hayriye Ayhan

Calculating optimal policies is known to be computationally difficult for Markov decision processes (MDPs) with Borel state and action spaces. This paper studies finite-state approximations of discrete time Markov decision processes with…

Optimization and Control · Mathematics 2016-09-23 Naci Saldi , Serdar Yüksel , Tamás Linder

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. A novel Bayesian theory is developed for detecting a…

Signal Processing · Electrical Eng. & Systems 2019-04-09 Taposh Banerjee , Prudhvi Gurram , Gene Whipps

This paper studies convergence properties of optimal values and actions for discounted and average-cost Markov Decision Processes (MDPs) with weakly continuous transition probabilities and applies these properties to the stochastic…

Optimization and Control · Mathematics 2017-03-21 Eugene A. Feinberg , Mark E. Lewis

Unexpected loads in Cloud data centers may trigger overloaded situation and performance degradation. To guarantee system performance, cloud computing environment is required to have the ability to handle overloads. The existing approaches,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-01 Minxian Xu , Rajkumar Buyya

We consider discrete-time Markov Decision Processes with Borel state and action spaces and universally measurable policies. For several long-run average cost criteria, we establish the following optimality results: the optimal average cost…

Optimization and Control · Mathematics 2021-04-02 Huizhen Yu

For over a decade, processor design has focused on implementing sophisticated policies for various components of the out-of-order pipeline, including cache replacement and prefetching. The prevailing design philosophy has been to build…

Hardware Architecture · Computer Science 2026-05-08 Yanxin Zhang , Ian McDougall , Junnan Li , Shayne Wadle , Vikas Singh , Karthikeyan Sankaralingam

In this work, we aim to obtain the optimal tradeoff between the average delay and the average power consumption in a communication system. In our system, the arrivals occur at each timeslot according to a Bernoulli arrival process and are…

Information Theory · Computer Science 2016-09-13 Xiang Chen , Wei Chen , Joohyun Lee , Ness B. Shroff

We consider the problem of maximizing the expected average reward obtained over an infinite time horizon by $n$ weakly coupled Markov decision processes. Our setup is a substantial generalization of the multi-armed restless bandit problem…

Optimization and Control · Mathematics 2026-04-01 Diego Goldsztajn , Konstantin Avrachenkov

We consider partially observable Markov decision processes (POMDPs) with a set of target states and positive integer costs associated with every transition. The traditional optimization objective (stochastic shortest path) asks to minimize…

Artificial Intelligence · Computer Science 2016-05-12 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Anchit Gupta , Petr Novotný

For power grids predominantly featuring large synchronous generators (SGs), there exists a significant body of work bridging optimization and control tasks. A generic workflow in such efforts entails: characterizing the steady state of…

Optimization and Control · Mathematics 2022-10-13 Manish K. Singh , D. Venkatramanan , Sairaj Dhople

In cyber-physical systems where sensors measure the temporal evolution of a given phenomenon of interest and radio communication takes place over short distances, the energy spent for source acquisition and compression may be comparable…

Information Theory · Computer Science 2016-11-17 Paolo Castiglione , Osvaldo Simeone , Elza Erkip , Thomas Zemen

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

Markov Decision Processes (MDPs) are a formal framework for modeling and solving sequential decision-making problems. In finite-time horizons such problems are relevant for instance for optimal stopping or specific supply chain problems,…

Optimization and Control · Mathematics 2024-05-07 Sara Klein , Simon Weissmann , Leif Döring

Flexible loads, i.e. the loads whose power trajectory is not bound to a specific one, constitute a sizable portion of current and future electric demand. This flexibility can be used to improve the performance of the grid, should the right…

Optimization and Control · Mathematics 2014-07-08 Mahdi Kefayati , Ross Baldick

We study optimal fidelity selection for a human operator servicing a queue of homogeneous tasks. The agent can service a task with a normal or high fidelity level, where fidelity refers to the degree of exactness and precision while…

Human-Computer Interaction · Computer Science 2023-10-10 Piyush Gupta , Vaibhav Srivastava

In this work, we derive optimal transmission policies in an energy harvesting status update system. The system monitors a stochastic process which can be either in a normal or in an alarm state of operation. We capture the freshness of…

Information Theory · Computer Science 2019-07-10 George Stamatakis , Nikolaos Pappas , Apostolos Traganitis

In this article, we investigate a dynamic control problem of a production-inventory system. Here, demands arrive at the production unit according to a Poisson process and are processed in an FCFS manner. The processing time of the…

Optimization and Control · Mathematics 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

Data center operators are typically faced with three significant problems when running their data centers, i.e., rising electricity bills, growing carbon footprints and unexpected power outages. To mitigate these issues, running data…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-02 Liang Yu , Tao Jiang , Yulong Zou

Consider a communication network with a source, a relay and a destination. Each time interval, the source may dynamically choose between a few possible coding schemes, based on the channel state, traffic pattern and its own queue status.…

Information Theory · Computer Science 2017-02-09 Asaf Cohen , Dennis Goeckel , Omer Gurewitz , Daniel S. Menasche , Mark Shifrin
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