A new view of the heavy-traffic limit theorem for infinite-server queues
From MaRDI portal
Publication:3203819
DOI10.2307/1427517zbMath0716.60105OpenAlexW2315252580MaRDI QIDQ3203819
Publication date: 1991
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1427517
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items
Semi-Markov-Modulated Infinite-Server Queues: Approximations by Time-Scaling ⋮ Functional law of the iterated logarithm for multi-server queues with batch arrivals and customer feedback ⋮ Asymptotic variability analysis for a two-stage tandem queue. I: The functional law of the iterated logarithm ⋮ The (functional) law of the iterated logarithm of the sojourn time for a multiclass queue ⋮ SPDE limits of many-server queues ⋮ Large deviations and applications for Markovian Hawkes processes with a large initial intensity ⋮ A large-deviations analysis of Markov-modulated infinite-server queues ⋮ Markov-modulated infinite-server queues with general service times ⋮ Functional Law of the Iterated Logarithm for Multiclass Queues with Preemptive Priority Service Discipline: The Overloaded Case ⋮ Functional Law of the Iterated Logarithm for Multiclass Queues with Preemptive Priority Service Discipline: The Underloaded and Critically Loaded Cases ⋮ A functional law of the iterated logarithm for multi-class queues with batch arrivals ⋮ Asymptotic variability analysis for multi-server generalized Jackson network in overloaded ⋮ Two-parameter process limits for an infinite-server queue with arrival dependent service times ⋮ Moments in infinite channel queues ⋮ Two-parameter heavy-traffic limits for infinite-server queues ⋮ Rare event simulation for a slotted time M/G/s model ⋮ Networks of infinite-server queues with nonstationary Poisson input ⋮ Two-parameter Sample Path Large Deviations for Infinite Server Queues ⋮ Large deviations of bivariate Gaussian extrema ⋮ Heavy-Traffic Limits for Nearly Deterministic Queues ⋮ Queues with path-dependent arrival processes ⋮ A law of iterated logarithm for multiclass queues with preemptive priority service discipline ⋮ Distribution-valued heavy-traffic limits for the \(\mathrm{G}/\mathrm{GI}/\infty\) queue ⋮ Unnamed Item ⋮ Autocorrelations in infinite server batch arrival queues
