Multiple channel queues in heavy traffic. I

DOI10.2307/3518347zbMath0218.60098OpenAlexW2606292975MaRDI QIDQ5623057

Publication date: 1970

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

Full work available at URL: https://doi.org/10.2307/3518347

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items

A robust queueing network analyzer based on indices of dispersion, Editorial introduction: special issue on Gaussian queues, On Accommodating Customer Flexibility in Service Systems, A nonzero-sum risk-sensitive stochastic differential game in the orthant, Multiple-input heavy-traffic real-time queues., Two-server closed networks in heavy traffic: diffusion limits and asymptotic optimality., Heavy traffic limits for some queueing networks, Real-time queues in heavy traffic with earliest-deadline-first queue discipline, A law of the iterated logarithm for the sojourn time process in queues in series, Numerical methods for controlled and uncontrolled multiplexing and queueing systems, Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic, Diffusion approximation for a processor sharing queue in heavy traffic., Large finite population queueing systems: The single-server model, A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues, SET-VALUED PERFORMANCE APPROXIMATIONS FOR THE QUEUE GIVEN PARTIAL INFORMATION, Stationary regimes for inventory processes, Spectral estimation for diffusions with random sampling times, Asymptotic optimality of maximum pressure policies in stochastic processing networks, The capacity of QoE for wireless networks with unreliable transmissions, Diffusion limits for shortest remaining processing time queues, Queueing network \(\text{MAP}-(G I / \infty)^K\) with high-rate arrivals, On the full idle time in multiphase queueing systems, A law of the iterated logarithm for extreme queue length in multiphase queues, Multiple channel queues in heavy traffic, An \(M/M/s\)-consistent diffusion model for the \(GI/G/s\) queue, Duality relations for queues with arrival and service control, Tandem fluid queue with long-range dependent inputs: sticky behaviour and heavy traffic approximation, Multiple channel queues in heavy traffic, Large deviation analysis of the single server queue, Heavy traffic limit theorems for a sequence of shortest queueing systems, A Markov-modulated M/G/1 queue. I: Stationary distribution, On scheduling a multiclass queue with abandonments under general delay costs, Heavy-traffic extreme-value limits for queues, Steady-state GI/G/\(n\) queue in the Halfin-Whitt regime, Limiting distribution for a simple model of order book dynamics, Diffusion limits for shortest remaining processing time queues under nonstandard spatial scaling, Heavy-Traffic Analysis Through Uniform Acceleration of Queues with Diminishing Populations, Heavy-Traffic Limit of the GI/GI/1 Stationary Departure Process and Its Variance Function, Stability analysis of a two-station cascade queueing network, Inventory control with an order-time constraint: optimality, uniqueness and significance, Diffusion Approximation of State-Dependent G-Networks Under Heavy Traffic, Heavy-traffic limits for a single-server queue leading up to a critical point, Many-server diffusion limits for \(G/Ph/n+GI\) queues, Asymptotically exact decomposition approximations for open queueing networks, Control: a perspective, Processor sharing: a survey of the mathematical theory, Distribution of a functional of continuous Markov processes, A heavy-traffic comparison of shared and segregated buffer schemes for queues with the head-of-line processor-sharing discipline, The asymptotic variance of departures in critically loaded queues, Heavy traffic limit for a processor sharing queue with soft deadlines, Heavy traffic limits for the extreme waiting time in multi-phase queueing systems, State space collapse for asymptotically critical multi-class fluid networks, Limit Theorems for Semi-Markov Queues and Their Applications, A functional law of the iterated logarithm for multi-class queues with batch arrivals, On the rate of convergence to equilibrium for reflected Brownian motion, The Brownian approximation for rate-control throttles and the \(G/G/1/C\) queue, On the global values of the queue length in open queueing networks, Heavy traffic analysis for EDF queues with reneging, On the transition from heavy traffic to heavy tails for the \(M/G/1\) queue: the regularly varying case, LARGE PORTFOLIO CREDIT RISK MODELING, The Error in Steady-State Approximations for the Time-Dependent Waiting Time Distribution, Uniform approximations for the \(M/G/1\) queue with subexponential processing times, On extreme values in open queueing networks, Weak convergence inapplied probability, Unnamed Item, Queueing theory, Two-parameter heavy-traffic limits for infinite-server queues, Convergence of a queueing system in heavy traffic with general patience-time distributions, Simulation of sample paths for Gauss-Markov processes in the presence of a reflecting boundary, Finite-pool queueing with heavy-tailed services, Multi-layered round robin routing for parallel servers, Heavy-traffic limits for queues with periodic arrival processes, Analysis of multiserver retrial queueing system: a martingale approach and an algorithm of solution, Functional Large Deviation Principles for Waiting and Departure Processes, Accuracy of state space collapse for earliest-deadline-first queues, Limit theorems for queueing systems with doubly stochastic Poisson arrivals (heavy traffic conditions), Brownian models of multiclass queueing networks: Current status and open problems, Limits and Approximations for the Busy-Period Distribution in Single-Server Queues, Queue length asymptotics for the multiple-server queue with heavy-tailed Weibull service times, On the analysis of the virtual waiting time in open queueing networks, A network of priority queues in heavy traffic: One bottleneck station, About the cumulative idle time in multiphase queues, Heavy traffic analysis of maximum pressure policies for stochastic processing networks with multiple bottlenecks, Limit theorems for finite dams, Weak convergence of compound stochastic process. I, Diffusion approximations for double-ended queues with reneging in heavy traffic, Stationary queuing systems with dependencies, Heavy traffic scaling limits for shortest remaining processing time queues with heavy tailed processing time distributions, Rate of convergence of the probability of ruin in the Cramér-Lundberg model to its diffusion approximation, On diffusion approximation of controlled queueing processes, Taking account of correlations between streams in queueing network approximations, A diffusion approximation for a GI/GI/1 queue with balking or reneging, Zero-sum risk-sensitive stochastic differential games with reflecting diffusions in the orthant, Complex transient phenomena in multiphase queuing systems. II, On busy periods of the critical GI/G/1 queue and BRAVO, Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data, Ergodic risk-sensitive stochastic differential games with reflecting diffusions in a bounded domain, Towards better multi-class parametric-decomposition approximations for open queueing networks, Queues with superposition arrival processes in heavy traffic, On the law of the iterated logarithm in multiserver open queueing networks, Wide sense regenerative processes with applications to multi-channel queues and networks, A Brownian model for multiclass queueing networks with finite buffers, Multichannel queueing system in a random environment