Conditioned limit theorems for the pair of waiting time and queue line processes

DOI10.1007/BF01225327zbMath0691.60084MaRDI QIDQ582716

Władysław Szczotka, Krzysztof A. Topolski

Publication date: 1989

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

virtual waiting timeconditional limit theoremduration of the first busy periodvariances of service and interarrival time

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)

Related Items (3)

Relating the waiting time in a heavy-traffic queueing system to the queue length ⋮ On extreme values in open queueing networks ⋮ On the analysis of the virtual waiting time in open queueing networks

Cites Work

• Unnamed Item
• Unnamed Item
• Conditioned limit theorem for virtual waiting time process of the GI/G/1 queue
• On a functional central limit theorem for random walks conditioned to stay positive
• Conditioned limit theorems for waiting-time processes of the M/G/1 queue
• Stationary representation of queues. II
• Convergence Rates in the Law of Large Numbers
• A Tauberian Theorem and Its Probability Interpretation

This page was built for publication: Conditioned limit theorems for the pair of waiting time and queue line processes