Light traffic for workload in queues

DOI10.1007/BF01163865zbMath0762.60083MaRDI QIDQ1206500

Karl Sigman

Publication date: 1 April 1993

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

zbMATH Keywords

Palm distributionqueueing networksergodic marked point processlight traffic limit theoremstotal workload in the network

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (5)

Analyticity of single-server queues in light traffic ⋮ Ergodic and light traffic properties of a complex repairable system ⋮ Further applications of a general rate conservation law ⋮ On the accuracy of phase-type approximations of heavy-tailed risk models ⋮ Light traffic approximations in general stationary single-server queues

Cites Work

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• Palm probabilities and stationary queues
• Light traffic equivalence in single-server queues
• Heavy and light traffic in fluid models with burst arrivals
• The derivation of invariance relations in complex queueing systems with stationary inputs
• A Light Traffic Approximation for a Single-Server Queue
• A Note on a Sample-Path Rate Conservation Law and its Relationship withH=λG
• Light Traffic Approximations in Queues
• An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue
• Light Traffic Limits of Sojourn Time Distributions in Markovian Queueing Networks
• Open Queueing Systems in Light Traffic
• Tandem Queues with Dependent Service Times in Light Traffic
• On the Theory of Queues With Many Servers

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