Space filling and depletion

DOI10.1239/jap/1091543419zbMath1069.60062OpenAlexW2041846630MaRDI QIDQ4667993

Predrag Jelenković, Edward G. jun. Coffman, Yuliy M. Baryshnikov

Publication date: 18 April 2005

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

Full work available at URL: https://semanticscholar.org/paper/270e7fbe418e34b3a537277952e9fff261453829

zbMATH Keywords

generating functionqueuesrandom fillingmany server systems

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Continuous-time Markov processes on discrete state spaces (60J27) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• One-dimensional circuit-switched networks
• Packing random intervals on-line
• Asymptotics of multivariate sequences. I: Smooth points of the singular variety
• Multidimensional Residues, Generating Functions, and Their Application to Queueing Networks
• Quasi-stationary distributions and one-dimensional circuit-switched networks
• One-dimensional loss networks and conditioned M/G/∞ queues
• Loss networks and Markov random fields

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