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Related papers: Multi-Source M/G/1/1 Queues with Probabilistic Pre…

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We investigate an M/M/1 queue operating in two switching environments, where the switch is governed by a two-state time-homogeneous Markov chain. This model allows to describe a system that is subject to regular operating phases alternating…

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

A service system with multiple types of customers, arriving according to Poisson processes, is considered. The system is heterogeneous in that the servers also can be of multiple types. Each customer has an independent exponentially…

Probability · Mathematics 2016-05-20 Alexander Stolyar

We study cyclic scheduling for generate-at-will (GAW) multi-source status update systems with heterogeneous service times and packet drop probabilities, with the aim of minimizing the weighted sum age of information (AoI), called system…

Information Theory · Computer Science 2024-01-11 Nail Akar , Sahan Liyanaarachchi , Sennur Ulukus

We study the MAP/M/s+G queuing model with MAP (Markovian Arrival Process) arrivals, exponentially distributed service times, infinite waiting room, and generally distributed patience times. Using sample-path arguments, we propose to obtain…

Performance · Computer Science 2021-10-22 Omer Gursoy , Kamal Adli Mehr , Nail Akar

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

We consider the problem of customer equilibrium behavior of a single server Markovian queue with dynamic control of the service rate. Customers arrive according a Poisson procedure and the system administrator makes a service rate choice…

Optimization and Control · Mathematics 2018-05-17 Apostolos Burnetas , Yiannis Dimitrakopoulos

In this paper we analyze the distribution of the Age of Information (AoI) of a tagged data stream sharing a processor with a set of other data streams. We do so in the highly general setting in which the interarrival times pertaining to the…

Networking and Internet Architecture · Computer Science 2025-02-20 Yoshiaki Inoue , Michel Mandjes

In this study, we investigate the optimal transmission policies within an energy harvesting status update system, where the demand for status updates depends on the state of the source. The system monitors a two-state Markovian source that…

Information Theory · Computer Science 2024-05-07 Erfan Delfani , George J. Stamatakis , Nikolaos Pappas

An important fundamental problem in green communications and networking is the operation of servers (routers or base stations) with sleeping mechanism to optimize energy-delay tradeoffs. This problem is very challenging when considering…

Information Theory · Computer Science 2017-11-22 Zhiyuan Jiang , Bhaskar Krishnamachari , Sheng Zhou , Zhisheng Niu

There is a growing interest in analysing the freshness of data in networked systems. Age of Information (AoI) has emerged as a popular metric to quantify this freshness at a given destination. There has been a significant research effort in…

Information Retrieval · Computer Science 2020-01-22 Jaya Prakash Champati , Ramana R. Avula , Tobias J. Oechtering , James Gross

In this thesis, we propose and analyze a multi-server model that captures a performance trade-off between centralized and distributed processing. In our model, a fraction $p$ of an available resource is deployed in a centralized manner…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-23 Kuang Xu

In this paper, we study a controllable tandem queueing system consisting of two nodes and a controller, in which customers arrive according to a Poisson process and must receive service at both nodes before leaving the system. A decision…

Probability · Mathematics 2015-04-07 Liu Zaiming , Chen Gang , Wu Jinbiao

In a typical Internet of Things (IoT) application where a central controller collects status updates from multiple terminals, e.g., sensors and monitors, through a wireless multiaccess uplink, an important problem is how to attain timely…

Information Theory · Computer Science 2018-01-15 Zhiyuan Jiang , Bhaskar Krishnamachari , Xi Zheng , Sheng Zhou , Zhisheng Niu

We study an M/G/1-type queueing model with the following additional feature. The server works continuously, at fixed speed, even if there are no service requirements. In the latter case, it is building up inventory, which can be interpreted…

Probability · Mathematics 2015-10-27 Onno Boxma , Rim Essifi , Augustus J. E. M. Janssen

Consider a message processing system whose objective is to produce the most current information as measured by the quantity known as "age of information". We have argued in previous papers that if we are allowed to design the message…

Performance · Computer Science 2021-06-17 George Kesidis , Takis Konstantopoulos , Michael Zazanis

We study a pull-based status update communication model where a source node submits update packets to a channel with random transmission delay, at times requested by a remote destination node. The objective is to minimize the average…

Information Theory · Computer Science 2021-11-08 M. Emrullah Ildiz , Orhan T. Yavascan , Elif Uysal , O. Tugberk Kartal

Status update systems require the timely collection of sensing information for which deploying multiple sensors/servers to obtain diversity gains is considered as a promising solution. In this work, we construct an absorbing Markov chain…

Information Theory · Computer Science 2025-09-30 Yifan Feng , Nail Akar , Zhengchuan Chen , Mehul Motani

This paper characterizes the structure of the Age of Information (AoI)-optimal policy in wireless powered communication systems while accounting for the time and energy costs of generating status updates at the source nodes. In particular,…

Information Theory · Computer Science 2020-06-12 Mohamed A. Abd-Elmagid , Harpreet S. Dhillon , Nikolaos Pappas

Queues that feature multiple entities arriving simultaneously are among the oldest models in queueing theory, and are often referred to as "batch" (or, in some cases, "bulk") arrival queueing systems. In this work we study the affect of…

Probability · Mathematics 2019-02-05 Andrew Daw , Jamol Pender
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