On the dependence structure and bounds of correlated parallel queues and their applications to synchronized stochastic systems

DOI10.1239/jap/1014843081zbMath0981.60087OpenAlexW2014617605MaRDI QIDQ2725298

Haijun Li, Susan H. Xu

Publication date: 12 July 2001

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1014843081

zbMATH Keywords

upper and lower boundsparallel queueing systemsstationary joint performance measuresynchronized queueing systems

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Queueing theory (aspects of probability theory) (60K25)

Related Items (14)

Smooth generators of integral stochastic orders. ⋮ Dependence properties and bounds for ruin probabilities in multivariate compound risk models ⋮ MONOTONICITY AND CONVEXITY OF SOME FUNCTIONS ASSOCIATED WITH DENUMERABLE MARKOV CHAINS AND THEIR APPLICATIONS TO QUEUING SYSTEMS ⋮ Extreme behavior of multivariate phase-type distributions ⋮ Supermodular comparison of time-to-ruin random vectors ⋮ On the interplay between variability and negative dependence for bivariate distributions. ⋮ Impact of Routeing on Correlation Strength in Stationary Queueing Network Processes ⋮ Orthant tail dependence of multivariate extreme value distributions ⋮ Multivariate risk model of phase type ⋮ Dependence orderings for some functionals of multivariate point processes ⋮ Dependence structures of multivariate Bernoulli random vectors ⋮ Dependence ordering for Markov processes on partially ordered spaces ⋮ Conditional tail expectations for multivariate phase-type distributions ⋮ Synchronized queues with deterministic arrivals

This page was built for publication: On the dependence structure and bounds of correlated parallel queues and their applications to synchronized stochastic systems