Limit theorems for queueing systems with doubly stochastic Poisson arrivals (heavy traffic conditions)

DOI10.1134/S0032946008040078zbMath1175.60079OpenAlexW2031681292MaRDI QIDQ734276

E. E. Bashtova, L. G. Afanasyeva

Publication date: 20 October 2009

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946008040078

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (5)

Two-phase queueing system with unreliable servers under heavy load ⋮ Subexponential Asymptotics for Steady State Tail Probabilities in a Single-Server Queue with Regenerative Input Flow ⋮ Coupling method for asymptotic analysis of queues with regenerative input and unreliable server ⋮ Asymptotic analysis of traffic lights performance under heavy traffic assumption ⋮ Maximum remaining service time in infinite-server queues

Cites Work

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• Stochastic ordering and thinning of point processes
• Ladder heights and the Markov-modulated M/G/1 queue
• Doubly stochastic Poisson processes
• Investigation of waiting time problems by reduction to Markov processes
• Regenerative stochastic processes
• Upper Bounds for Single Server Queues with Doubly Stochastic Poisson Arrivals
• Queues with non-stationary input stream: Ross's conjecture
• Average delay in queues with non-stationary Poisson arrivals
• Moment bounds for stationary mixing sequences
• A monotonicity result for the workload in Markov-modulated queues
• Multiple channel queues in heavy traffic. I

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