scientific article

zbMath0597.60096MaRDI QIDQ3730768

F. Charlot

Publication date: 1985

Full work available at URL: http://www.numdam.org/item?id=ASCFPA_1985__87_4_1_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

busy cycleintegrability of renewal times

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A uniform theory for sums of Markov chain transition probabilities
• A simple proof of a known result in random walk theory
• On the Characteristics of the General Queueing Process, with Applications to Random Walk
• Weak convergence in queueing theory
• Uniform rates of convergence for Markov chain transition probabilities
• An explicit upper bound for the mean busy period in a GI/G/1 queue
• [https://portal.mardi4nfdi.de/wiki/Publication:4160209 Irr�ductibilit� et r�currence au sens de Harris des �Temps d'attente? des files GI/G/q]
• Single-server queueing systems with uniformly limited queueing time
• Geometric ergodicity in a class of denumerable Markov chains
• The serial correlation coefficients of waiting times in a stationary single server queue
• Functional limit theorems for the queue GI/G/1 in light traffic
• Embedded renewal processes in the GI/G/s queue
• On the Theory of Queues With Many Servers