NONSTATIONARY LOSS QUEUES VIA CUMULANT MOMENT APPROXIMATIONS

DOI10.1017/S0269964814000205zbMath1370.60177MaRDI QIDQ5358025

Jamol Pender

Publication date: 19 September 2017

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (17)

A STOCHASTIC ANALYSIS OF BIKE-SHARING SYSTEMS ⋮ A Law of Large Numbers for M/M/c/Delayoff-Setup Queues with Nonstationary Arrivals ⋮ STAFFING TO STABILIZE BLOCKING IN LOSS MODELS WITH TIME-VARYING ARRIVAL RATES ⋮ APPROXIMATING AND STABILIZING DYNAMIC RATE JACKSON NETWORKS WITH ABANDONMENT ⋮ A transient symmetry analysis for the \(M/M/1/k\) queue ⋮ Queues Driven by Hawkes Processes ⋮ Approximations for the Queue Length Distributions of Time-Varying Many-Server Queues ⋮ Diffusion limits for the $(MAP_t / Ph_t / \infty)^N$ queueing network ⋮ Strong approximations for time-varying infinite-server queues with non-renewal arrival and service processes ⋮ Time-varying tandem queues with blocking: modeling, analysis, and operational insights via fluid models with reflection ⋮ Dynamic rate Erlang-A queues ⋮ Fluid approximations and control of queues in emergency departments ⋮ A Poisson-Charlier approximation for nonstationary queues ⋮ Infinite server queues in a random fast oscillatory environment ⋮ A Stochastic Analysis of Queues with Customer Choice and Delayed Information ⋮ A many-server functional strong law for a non-stationary loss model ⋮ Queues with Choice via Delay Differential Equations

Cites Work

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• Gaussian skewness approximation for dynamic rate multi-server queues with abandonment
• Strong approximation for Markovian service networks
• An analysis of the modified offered-load approximation for the nonstationary Erlang loss model
• Gram Charlier Expansion for Time Varying Multiserver Queues with Abandonment
• A TIME-VARYING CALL CENTER DESIGN VIA LAGRANGIAN MECHANICS
• Stationary-Process Approximations for the Nonstationary Erlang Loss Model
• Sensitivity to the Service-Time Distribution in the Nonstationary Erlang Loss Model

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