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A diffusion model for packet travel time in a random multihop medium

Author:

Erol GelenbeAuthors Info & Claims

ACM Transactions on Sensor Networks (TOSN), Volume 3, Issue 2

Pages 10 - es

https://doi.org/10.1145/1240226.1240230

Published: 01 June 2007 Publication History

Abstract

We consider a wireless network in which packets are forwarded opportunistically from the source towards the destination, without accurate knowledge of the direction that they should take. A Brownian motion model that includes the effect of packet losses, and subsequent retransmission after a time-out, is used to compute the average travel time of the packet. The results indicate that the average travel time is always finite provided that a time-out is used, and that there is an element of randomness in the manner in which successive nodes are being chosen. We show that the average packet travel time can be minimized by a judicious choice of the time-out, and its optimum value in turn depends on other system parameters such as packet-loss probabilities. We present simulations that illustrate the analytical results.

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Cited By

Gelenbe ENasereddin M(2025)Adaptive Attack Mitigation for IoV Flood AttacksIEEE Internet of Things Journal10.1109/JIOT.2025.352961512:5(4701-4714)Online publication date: 1-Mar-2025
https://doi.org/10.1109/JIOT.2025.3529615
Czachórski TGelenbe EKuaban GMarek D(2022)Optimizing Energy Usage for an Electric DroneSecurity in Computer and Information Sciences10.1007/978-3-031-09357-9_6(61-75)Online publication date: 30-Jun-2022
https://doi.org/10.1007/978-3-031-09357-9_6
Marek DDomański ADomańska JSzyguła JCzachórski TKlamka J(2021)Diffusion Model of a Non-Integer Order PIγ Controller with TCP/UDP StreamsEntropy10.3390/e2305061923:5(619)Online publication date: 16-May-2021
https://doi.org/10.3390/e23050619
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A diffusion model for packet travel time in a random multihop medium

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Information & Contributors

Information

Published In

cover image ACM Transactions on Sensor Networks

ACM Transactions on Sensor Networks Volume 3, Issue 2

June 2007

162 pages

ISSN:1550-4859

EISSN:1550-4867

DOI:10.1145/1240226

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Copyright © 2007 ACM.

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Association for Computing Machinery

New York, NY, United States

Journal Family

ACM Journals for the Design of Smart and Connected Systems

Publication History

Published: 01 June 2007

Published in TOSN Volume 3, Issue 2

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Cited By

Gelenbe ENasereddin M(2025)Adaptive Attack Mitigation for IoV Flood AttacksIEEE Internet of Things Journal10.1109/JIOT.2025.352961512:5(4701-4714)Online publication date: 1-Mar-2025
https://doi.org/10.1109/JIOT.2025.3529615
Czachórski TGelenbe EKuaban GMarek D(2022)Optimizing Energy Usage for an Electric DroneSecurity in Computer and Information Sciences10.1007/978-3-031-09357-9_6(61-75)Online publication date: 30-Jun-2022
https://doi.org/10.1007/978-3-031-09357-9_6
Marek DDomański ADomańska JSzyguła JCzachórski TKlamka J(2021)Diffusion Model of a Non-Integer Order PIγ Controller with TCP/UDP StreamsEntropy10.3390/e2305061923:5(619)Online publication date: 16-May-2021
https://doi.org/10.3390/e23050619
Li NHu XNgai EGelenbe E(2021)Cooperative Wireless Edges with Composite Resource Allocation in Hierarchical Networks2020 IEEE International Conference on E-health Networking, Application & Services (HEALTHCOM)10.1109/HEALTHCOM49281.2021.9398997(1-6)Online publication date: 1-Mar-2021
https://doi.org/10.1109/HEALTHCOM49281.2021.9398997
Bi HChen YShang WSong CHuang W(2020)Self-Administered Information Sharing Framework Using Bioinspired MechanismsComplexity10.1155/2020/88807302020Online publication date: 30-Oct-2020
https://dl.acm.org/doi/10.1155/2020/8880730
Bi HShang WChen Y(2020)Cooperative and Energy-Efficient Strategies in Emergency Navigation Using Edge ComputingIEEE Access10.1109/ACCESS.2020.29821208(54441-54455)Online publication date: 2020
https://doi.org/10.1109/ACCESS.2020.2982120
Çag̃layan U(2020)Performance, Energy Savings and Security: An IntroductionModelling, Analysis, and Simulation of Computer and Telecommunication Systems10.1007/978-3-030-68110-4_1(3-28)Online publication date: 17-Nov-2020
https://dl.acm.org/doi/10.1007/978-3-030-68110-4_1
Bi HGelenbe E(2019)A Survey of Algorithms and Systems for Evacuating People in Confined SpacesElectronics10.3390/electronics80607118:6(711)Online publication date: 23-Jun-2019
https://doi.org/10.3390/electronics8060711
Nowak MNowak SDomanska J(2019)Cognitive Routing for Improvement of IoT Security2019 IEEE International Conference on Fog Computing (ICFC)10.1109/ICFC.2019.00014(41-46)Online publication date: Jun-2019
https://doi.org/10.1109/ICFC.2019.00014
Pekergin N(2019)INTRODUCTION TO THE SPECIAL ISSUE ON LEARNING, OPTIMIZATION, AND THEORY OF G-NETWORKSProbability in the Engineering and Informational Sciences10.1017/S0269964819000305(1-5)Online publication date: 29-Jul-2019
https://doi.org/10.1017/S0269964819000305
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