Sample path analysis of level crossings for the workload process

DOI10.1007/BF01163864zbMath0762.60095OpenAlexW2130781317MaRDI QIDQ1206499

Michael A. Zazanis

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1007/bf01163864

zbMATH Keywords

empirical distributionslevel crossings of sample paths of queueing processesrate of downcrossingsTakács formula

Mathematics Subject Classification ID

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

Related Items (3)

Sample-path insensitivity of symmetric queues in discrete-time ⋮ A review of \(L=\lambda W\) and extensions ⋮ Sample-path analysis of stochastic discrete-event systems

Cites Work

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• Stationary processes with piecewise monotonous trajectories
• A Note on a Sample-Path Rate Conservation Law and its Relationship withH=λG
• The intensity conservation law for queues with randomly changed service rate
• Sample-path derivations of the excess, age, and spread distributions
• Some analyses on the control of queues using level crossings of regenerative processes
• The System Point Method in Exponential Queues: A Level Crossing Approach
• On two stationary distributions for the stable GI/G/1 queue
• On up- and downcrossings
• Level Crossings in Point Processes Applied to Queues: Single-Server Case
• A rate-conservative principle for stationary piecewise Markov processes
• Stochastic processes with imbedded marked point processes (pmp) and thcir application in queneing
• Technical Note—A Last Word on L = λW
• Rate conservation for stationary processes

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