scientific article; zbMATH DE number 1460450
From MaRDI portal
Publication:4485682
zbMath1021.60001MaRDI QIDQ4485682
François Baccelli, Pierre Brémaud
Publication date: 18 June 2000
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
conservation lawstochastic orderingqueueing networksergodic theoryqueueing theorycouplingstability theoryconvex orderingstochastic intensityPalm theoryrenovationstationary marked point processesstochastic recurrences
Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items (89)
Networks with cascading overloads ⋮ The tail process and tail measure of continuous time regularly varying stochastic processes ⋮ Hitting probabilities in a Markov additive process with linear movements and upward jumps: applications to risk and queueing processes. ⋮ Functional continuity and large deviations for the behavior of single-class queueing networks ⋮ Asymptotic behavior of generalized processor sharing queues under subexponential assumptions ⋮ Semi-linear stochastic difference equations ⋮ Congestion in large balanced multirate networks ⋮ Application of optimal filtering methods for on-line of queueing network states ⋮ Excursions of the workload process in \(G/GI/1\) queues ⋮ Invariant measures and disintegrations with applications to Palm and related kernels ⋮ A large-deviations analysis of the GI/GI/1 SRPT queue ⋮ Modeling teletraffic arrivals by a Poisson cluster process ⋮ Marginal queue length approximations for a two-layered network with correlated queues ⋮ Conservation laws and reflection mappings with an application to multiclass mean value analysis for stochastic fluid queues ⋮ On pathwise analysis and existence of empirical distributions of G/G/1 queues ⋮ Modeling network traffic by a cluster Poisson input process with heavy and light-tailed file sizes ⋮ A pathwise comparison of parallel queues ⋮ Additive functionals with application to sojourn times in infinite-server and processor sharing systems ⋮ Sojourn times in a processor sharing queue with multiple vacations ⋮ Asymptotically optimal open-loop load balancing ⋮ Asymptotic analysis of the ruin with stationary stable steps generated by dissipative flows ⋮ A lower bound on the queueing delay in resource constrained load balancing ⋮ Migration–contagion processes ⋮ Navigation on a Poisson point process ⋮ Queue-length balance equations in multiclass multiserver queues and their generalizations ⋮ Age of information using Markov-renewal methods ⋮ Palm pairs and the general mass-transport principle ⋮ Steady-state analysis of a multiserver queue in the Halfin-Whitt regime ⋮ Chord-length distribution functions and Rice formulae. Application to random media ⋮ On the instability of matching queues ⋮ On classes of Bitcoin-inspired infinite-server queueing systems ⋮ The distribution of age-of-information performance measures for message processing systems ⋮ Extending the FCLT version of \(L=\lambda W\) ⋮ Long-range last-passage percolation on the line ⋮ Processor sharing: a survey of the mathematical theory ⋮ On the departure process of the linear loss network ⋮ Expected waiting time in symmetric polling systems with correlated walking times ⋮ Product Form Models for Queueing Networks with an Inventory ⋮ A hard-core stochastic process with simultaneous births and deaths ⋮ \(M/M/\infty\) queue with ON-OFF service speeds ⋮ Exact tail asymptotics of a queue with LRD input traffic ⋮ Exact tail asymptotics of a tandem queue with LRD service times ⋮ Boundary driven zero-range processes in random media ⋮ Integral representation of Skorokhod reflection ⋮ On the steady state of continuous-time stochastic opinion dynamics with power-law confidence ⋮ The radial spanning tree of a Poisson point process ⋮ Stochastic decomposition of the \(M/G/\infty \) queue in a random environment ⋮ On the stability of a class of non-monotonic systems of parallel queues ⋮ Point-shift foliation of a point process ⋮ Stationary flows and uniqueness of invariant measures ⋮ Some local approximation properties of simple point processes ⋮ How fast can the chord length distribution decay? ⋮ A new look at transient versions of Little's law, and M/G/1 preemptive last-come-first-served queues ⋮ On the subexponential properties in stationary single-server queues: a Palm-martingale approach ⋮ Diffusion local time storage ⋮ Activity rates with very heavy tails ⋮ Martingale approach for tail asymptotic problems in the generalized Jackson network ⋮ A sample path relation for the sojourn times in \(G/G/1\)-PS systems and its applications ⋮ A survey on discriminatory processor sharing ⋮ Control of parallel non-observable queues: asymptotic equivalence and optimality of periodic policies ⋮ Analysis of stochastic fluid queues driven by local-time processes ⋮ Tail Asymptotics for Monotone-Separable Networks ⋮ Sample path large deviations for multiclass feedforward queueing networks in critical loading ⋮ Coupling in the queue with impatience: case of several servers ⋮ Interference queueing networks on grids ⋮ A simple algebraic approximation to the Erlang loss system ⋮ Replica-Mean-Field Limits for Intensity-Based Neural Networks ⋮ A note on integral representations of the Skorokhod map ⋮ An infinite-server queue influenced by a semi-Markovian environment ⋮ Lévy processes with adaptable exponent ⋮ Reversibility and Further Properties of FCFS Infinite Bipartite Matching ⋮ The dead leaves model: a general tessellation modeling occlusion ⋮ A martingale view of Blackwell’s renewal theorem and its extensions to a general counting process ⋮ Stability of spatial queueing systems ⋮ Stationary solutions of stochastic recursions describing discrete event systems ⋮ The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks ⋮ A computational framework for evaluating the role of mobility on the propagation of epidemics on point processes ⋮ Shot-noise queueing models ⋮ Stationary Waiting Time in Parallel Queues with Synchronization ⋮ Excursions away from the Lipschitz minorant of a Lévy process ⋮ Markov modulated fluid network process: Tail asymptotics of the stationary distribution ⋮ On the asymptotics of fault probability in least-recently-used caching with Zipf-type request distribution ⋮ Homogenization and Enhancement of theG-Equation in Random Environments ⋮ Factorization Identities for Reflected Processes, with Applications ⋮ Tail Probability of the Supremum of a Random Walk with Stable Steps and a Nonlinear Negative Drift ⋮ A generalized backward scheme for solving nonmonotonic stochastic recursions ⋮ On point processes defined by angular conditions on Delaunay neighbors in the Poisson–Voronoi Tessellation ⋮ A rudimentary Markovian model of atomic diffusion ⋮ Synchronized queues with deterministic arrivals
This page was built for publication: