On limit theorem in some service systems

DOI10.1007/s10958-016-2789-yzbMath1341.60114OpenAlexW2299601861MaRDI QIDQ292314

Elena S. Garai

Publication date: 8 June 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2789-y

zbMATH Keywords

weak convergenceSkorokhod spaceservice systemsintegral workload

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Functional limit theorems; invariance principles (60F17)

Cites Work

• Convergence of scaled renewal processes and a packet arrival model
• Slow, fast and arbitrary growth conditions for renewal-reward processes when both the renewals and the rewards are heavy-tailed
• The limit of a renewal reward process with heavy-tailed rewards is not a linear fractional stable motion
• Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
• Renewal reward processes with heavy-tailed inter-renewal times and heavy-tailed rewards
• The Modelling of Ethernet Data and of Signals that are Heavy‐tailed with Infinite Variance^*
• Random Processes by Example
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On limit theorem in some service systems