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We study a discrete time queueing system where deterministic arrivals have i.i.d. exponential delays $\xi_{i}$. The standard deviation $\sigma$ of the delay is finite, but its value is much larger than the deterministic unit service time.…

Probability · Mathematics 2017-01-02 Carlo Lancia , Gianluca Guadagni , Sokol Ndreca , Benedetto Scoppola

In this paper, we study and analyze fundamental throughput-delay tradeoffs in cooperative multiple access for cognitive radio systems. We focus on the class of randomized cooperative policies, whereby the secondary user (SU) serves either…

Networking and Internet Architecture · Computer Science 2016-11-17 Mahmoud Ashour , Amr A. El-Sherif , Tamer ElBatt , Amr Mohamed

Consider the batch-arrival $GI^X/M/c/N$ model with $c$ servers, general inter-arrival batch times, finite buffer, and exponential service times. Inter-arrival batch times, batch sizes, and service times are $i.i.d.$ and independent of each…

Probability · Mathematics 2022-12-20 Muhammad El-Taha , Thomas Michaud

In this paper queue stability in a single-hop wireless multicast networks over erasure channels is analyzed. First, a queuing model consisting of several sub-queues is introduced. Under the queueing stability constraint, we adopt Lyapunov…

Information Theory · Computer Science 2016-12-01 Nadieh Moghadam , Mohammad Mohebbi , Hongxiang Li

Full duplex communication promises a paradigm shift in wireless networks by allowing simultaneous packet transmission and reception within the same channel. While recent prototypes indicate the feasibility of this concept, there is a lack…

Networking and Internet Architecture · Computer Science 2015-12-15 Rahman Doost-Mohammady , M. Yousof Naderi , Kaushik Roy Chowdhury

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

Queueing systems with batch Markovian arrival process (BMAP) have paramount applications in the domain of wireless communication. The BMAP has been used to model the superposition of video sources and to approximate the super-position of…

Probability · Mathematics 2020-01-13 S. Pradhan , U. C. Gupta

The IEEE 802.11 backoff algorithm is very important for controlling system throughput over contentionbased wireless networks. For this reason, there are many studies on wireless network performance focus on developing backoff algorithms.…

Networking and Internet Architecture · Computer Science 2016-01-05 Hatm Alkadeki , Xingang Wang , Michael Odetayo

Recently there has been considerable interest in the design of efficient carrier sense multiple access(CSMA) protocol for wireless network. The basic assumption underlying recent results is availability of perfect carrier sense information.…

Information Theory · Computer Science 2010-03-16 Devavrat Shah , Jinwoo Shin

In this paper we analyze a single server queue with batch arrivals and semi-Markovian service times. We also include the feature that the first service of each busy period might have a different distribution than subsequent service times.…

Probability · Mathematics 2018-12-07 Abhishek , Rudesindo Núñez Queija , Marko Boon

The two-receiver broadcast packet erasure channel with feedback and memory is studied. Memory is modeled using a finite-state Markov chain representing a channel state. Two scenarios are considered: (i) when the transmitter has causal…

Information Theory · Computer Science 2018-02-21 Michael Heindlmaier , Shirin Saeedi Bidokhti

We consider a wireless system with a small number of delay constrained users and a larger number of users without delay constraints. We develop a scheduling algorithm that reacts to time varying channels and maximizes throughput utility (to…

Optimization and Control · Mathematics 2011-07-29 Michael J. Neely

In this paper we consider the problem of computing the stationary distribution of nearly completely decomposable Markov processes, a well-established area in the classical theory of Markov processes with broad applications in the design,…

Numerical Analysis · Mathematics 2025-06-19 Vasileios Kalantzis , Mark S. Squillante , Chai Wah Wu

The paper deals with a sharing economy system with various management factors by using a bulk input G/M/1 type queuing model. The effective management of operating costs is vital for controlling the sharing economy platform and this…

Probability · Mathematics 2019-10-24 Song-Kyoo Kim , Chan Yeob Yeun

In this paper we study the Markov-modulated M/M/$\infty$ queue, with a focus on the correlation structure of the number of jobs in the system. The main results describe the system's asymptotic behavior under a particular scaling of the…

Probability · Mathematics 2016-01-13 Joke Blom , Koen de Turck , Michel Mandjes

This paper studies the network throughput and transport delay of a multihop wireless random access network based on a Markov renewal model of packet transportation. We show that the distribution of the source-to-destination (SD) distance…

Networking and Internet Architecture · Computer Science 2008-05-12 Lin Dai , Tony T. Lee

We prove two propositions with conditions that a system, which is described by a transient Markov chain, will display local stability. Examples of such systems include partly overloaded Jackson networks, partly overloaded polling systems,…

Probability · Mathematics 2020-06-22 Ivo Adan , Sergey Foss , Seva Shneer , Gideon Weiss

In this paper the infinite server queue model in semi-Markov random environment with k Markov arrival streams, random resources of customers, and catastrophes is considered. After catastrophes occur, all customers in the model are flashed…

Performance · Computer Science 2018-05-25 Khanik Kerobyan , Ruben Kerobyan , Koffi Enakoutsa

We consider a Markovian single server queue in which customers are preemptively scheduled by exogenously assigned priority levels. The novelty in our model is that the priority levels are randomly assigned from a continuous probability…

Probability · Mathematics 2017-01-09 Neal Master , Zhengyuan Zhou , Nicholas Bambos

Frame Slotted Aloha (FSA) protocol has been widely applied in Radio Frequency Identification (RFID) systems as the de facto standard in tag identification. However, very limited work has been done on the stability of FSA despite its…

Information Theory · Computer Science 2014-09-18 Jihong Yu , Lin Chen
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