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- research-articleOctober 2024
Modeling Interfering Sources in Shared Queues for Timely Computations in Edge Computing Systems
MobiHoc '24: Proceedings of the Twenty-fifth International Symposium on Theory, Algorithmic Foundations, and Protocol Design for Mobile Networks and Mobile ComputingPages 387–391https://doi.org/10.1145/3641512.3690166Most existing stochastic models on age of information (AoI) focus on a single shared server serving status update packets from N > 1 sources where each packet update stream is Poisson, i.e., single-hop scenario. In the current work, we study a two-hop ...
- research-articleJune 2017
Copula Analysis of Temporal Dependence Structure in Markov Modulated Poisson Process and Its Applications
ACM Transactions on Modeling and Performance Evaluation of Computing Systems (TOMPECS), Volume 2, Issue 3Article No.: 14, Pages 1–28https://doi.org/10.1145/3089254The Markov Modulated Poisson Process (MMPP) has been extensively studied in random process theory and widely applied in various applications involving Poisson arrivals whose rate varies following a Markov process. Despite the rich literature on MMPP, ...
- chapterJanuary 2011
Markovian modelling of internet traffic
Network performance engineeringJanuary 2011, Pages 98–124This tutorial discusses the suitability of Markovian models to describe IP network traffic that exhibits peculiar scale invariance properties, such as selfsimilarity and long range dependence. Three Markov Modulated Poisson Processes (MMPP), and their ...
- ArticleJune 2009
End-to-end delay approximation in cascades of generalized processor sharing schedulers
This paper proposes an analytical method to evaluate the delay violation probability of traffic flows with statistic al Quality-of-Service (QoS) guarantees in a Generalized Processor Sharing scheduler. The statistical QoS targets, for each service class,...