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This paper addresses web object size which is one of important performance measures and affects to service time in multiple access environment. Since packets arrive according to Poission distribution and web service time has arbitrary…

Networking and Internet Architecture · Computer Science 2014-08-15 Y. -J. Lee

We study the impact of service-time distributions on the distribution of the maximum queue length during a busy period for the M^X/G/1 queue. The maximum queue length is an important random variable to understand when designing the buffer…

Probability · Mathematics 2007-05-23 Ger Koole , Misja Nuyens , Rhonda Righter

Recent studies indicate that in many situations service times are affected by the experienced queueing delay of the particular customer. This effect has been detected in different areas, such as health care, call centers and…

Probability · Mathematics 2025-04-25 Bernardo D'Auria , Ivo J. B. F. Adan , René Bekker , Vidyadhar Kulkarni

This paper investigates the effect of payload size on goodput for wireless networks where packets created from a message through a segmentation function are lost due to bit errors and they are recovered by a stop-and-wait protocol. To…

Performance · Computer Science 2019-03-26 Takashi Ikegawa

This paper investigates the capacity of a channel in which information is conveyed by the timing of consecutive packets passing through a queue with independent and identically distributed service times. Such timing channels are commonly…

Information Theory · Computer Science 2018-03-06 Mehrnaz Tavan , Roy D. Yates , Waheed U. Bajwa

In many cognitive radio applications, there are multiple types of message queues. Existing queueing analysis works in underlay CR networks failed to discuss packets heterogeneity. Therefore high priority packets with impatient waiting time…

Networking and Internet Architecture · Computer Science 2017-06-27 Long Chen , Liusheng Huang , Hongli Xu , Jie Hu

We study a generalization of the $M/G/1$ system (denoted by $rM/G/1$) with independent and identically distributed (iid) service times and with an arrival process whose arrival rate $\lambda_0f(r)$ depends on the remaining service time $r$…

Probability · Mathematics 2017-10-05 Benjamin Legros , Ali Devin Sezer

We describe a new model for studying intermittently connected mobile networks, based on Markovian random temporal graphs, that captures the influence of message size, maximum tolerated delay and link stability on the delivery ratio.

Networking and Internet Architecture · Computer Science 2010-01-21 John Whitbeck , Vania Conan , Marcelo Dias de Amorim

Rather than directly considering the queuing delay of data, this memo focuses on reducing the delay that congestion signals experience within a queue management algorithm, which can be greater than the delay that the data itself experiences…

Networking and Internet Architecture · Computer Science 2019-04-16 Bob Briscoe

We study the performance of random linear network coding for time division duplexing channels with Poisson arrivals. We model the system as a bulk-service queue with variable bulk size. A full characterization for random linear network…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

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

In many important real-world queueing settings, arrival and service rates fluctuate over time. We consider the MAMS system, where the arrival and service rates each vary according to an arbitrary finite-state Markov chain, allowing…

Performance · Computer Science 2024-10-02 Isaac Grosof , Yige Hong , Mor Harchol-Balter

This work develops a methodology for studying the effect of an offload zone on the ambulance ramping problem using a multi-server, multi-class non-preemptive priority queueing model that can be treated analytically. A prototype model for…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Josef Zuk , David Kirszenblat

We present an efficient routing approach for delivering packets in complex networks. On delivering a message from a node to a destination, a node forwards the message to a neighbor by estimating the waiting time along the shortest path from…

Networking and Internet Architecture · Computer Science 2008-06-12 Huan Zhang , Zonghua Liu , Ming Tang , P. M. Hui

We investigate the transient and stationary queue-length distributions of a class of service systems with correlated service times. The classical $M^X/G/1$ queue with semi-Markov service times is the most prominent example in this class and…

Probability · Mathematics 2018-01-19 Abhishek , Marko Boon , Onno Boxma , Rudesindo Núñez-Queija

Purpose of this study is evaluation of the relationship between different arrival types and degree of saturation (X) with overestimations of HCM 2010 procedure for estimating the back of queue within a study area. Further analysis is…

Applications · Statistics 2017-09-01 Behnoush Garshasebi , Rahim F. Benekohal

In this paper, we analyze how well a machine can solve a general problem in queueing theory. To answer this question, we use a deep learning model to predict the stationary queue-length distribution of an $M/G/1$ queue (Poisson arrivals,…

Machine Learning · Computer Science 2022-02-04 Eliran Sherzer , Arik Senderovich , Opher Baron , Dmitry Krass

Accurate estimation of queuing delays is crucial for designing and optimizing communication networks, particularly in the context of Deterministic Networking (DetNet) scenarios. This study investigates the approximation of Internet queuing…

Networking and Internet Architecture · Computer Science 2024-06-25 Nataliia Koneva , Alfonso Sánchez-Macián , José Alberto Hernández , Farhad Arpanaei , Óscar González de Dios

We consider an M/M/1 feedback queue in which service attempts may fail, requiring the customer to rejoin the queue. Arriving customers act strategically, deciding whether to join the queue based on a threshold strategy that depends on the…

Probability · Mathematics 2025-07-16 Peter Taylor , Jiesen Wang

Understanding transport capacity in intermittently connected mobile networks (ICMN) is crucial since different applications have different interactivity and bandwidth requirements. One practical issue is how to transform an application's…

Networking and Internet Architecture · Computer Science 2010-01-21 John Whitbeck , Vania Conan , Marcelo Dias de Amorim
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