A new proof of finite moment conditions for GI/G/1 busy periods

DOI10.1007/BF01158551zbMath0671.60085MaRDI QIDQ1119285

Ronald W. Wolff, Saeed Ghahramani

Publication date: 1989

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

zbMATH Keywords

random walkFIFOmoment conditionsladder epochsvirtual and actual delay

Mathematics Subject Classification ID

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

Related Items (5)

Representing workloads in GI/G/1 queues through the preemptive-resume LIFO queue discipline ⋮ On Finite Moments of Full Busy Periods of GI/G/c Queues ⋮ Sample path methods in the control of queues ⋮ On Queues with Interarrival Times Proportional to Service Times ⋮ Rare events in queueing systems -- A survey

Cites Work

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• The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence
• Converse results for existence of moments and uniform integrability for stopped random walks
• On the moments and limit distributions of some first passage times
• On the Characteristics of the General Queueing Process, with Applications to Random Walk
• Conditions for Finite Ladder Height and Delay Moments
• Moments for first-passage and last-exit times, the minimum, and related quantities for random walks with positive drift
• A formal approach to queueing processes in the steady state and their applications
• Two probability theorems and their application to some first passage problems

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