The behaviour of a single queue in a general queueing network

DOI10.1007/BF00265766zbMath0349.60091OpenAlexW2033433546MaRDI QIDQ1234970

Erol Gelenbe, Guy Pujolle

Publication date: 1976

Published in: Acta Informatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00265766

Mathematics Subject Classification ID

Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (16)

Evaluation of the end-to-end delay of a multiphase queuing system using artificial neural networks ⋮ Maximum entropy two-station cyclic queues with multiple general servers ⋮ Buffer allocation for an integer nonlinear network design problem ⋮ Asymptotic behavior of the expansion method for open finite queueing networks ⋮ EROL GELENBE: A CAREER IN MULTI-DISCIPLINARY PROBABILITY MODELS ⋮ Diffusion Approximation of State-Dependent G-Networks Under Heavy Traffic ⋮ Queue with limited volume, a diffusion approximation approach ⋮ A study of queueing networks with deterministic service and application to computer networks ⋮ Model reduction of general queueing networks ⋮ Characterization of the departure process from anME/ME/1queue ⋮ About the cumulative idle time in multiphase queues ⋮ G-NETWORKS AND THEIR APPLICATIONS TO MACHINE LEARNING, ENERGY PACKET NETWORKS AND ROUTING: INTRODUCTION TO THE SPECIAL ISSUE ⋮ Theory of queuing networks and its applications to the analysis of information-computing systems ⋮ Entropy maximisation and queueing network models ⋮ Open finite queueing networks with \(M/M/C/K\) parallel servers ⋮ Maximum entropy and the G/G/1/N queue

Cites Work

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• Probabilistic models of computer systems. II: Diffusion approximations, waiting times and batch arrivals
• Probabilistic models of computer systems. I: Exact results
• Waiting Times When Queues are in Tandem
• Parametric Analysis of Queuing Networks
• Work Rates in Closed Queuing Networks with General Independent Servers
• The Output of an M/D/1 Queue
• Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
• On Approximate Computer System Models
• Accuracy of the Diffusion Approximation for Some Queuing Systems
• Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
• Some Relationships Between the Distributions of Waiting Time, Idle Time and Interoutput Time in the $GI/ G/1$ Queue

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