Maximum entropy and the G/G/1/N queue

DOI10.1007/BF00288469zbMath0581.90026OpenAlexW2005210959MaRDI QIDQ1067967

Demetres D. Kouvatsos

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00288469

zbMATH Keywords

maximum entropyqueue length distributionclosed form expressionG/G/1 finite capacity queuetwo-stage cyclic queueing networks

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Deterministic network models in operations research (90B10) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (12)

Maximum entropy two-station cyclic queues with multiple general servers ⋮ Maximum entropy solutions for batch arrival queue with an un-reliable server and delaying vacations ⋮ Homogenisation techniques for the analysis of production lines with unreliable machines having different speeds ⋮ MRE hierarchical decomposition of general queueing network models ⋮ Maximum entropy approach for batch-arrival queue under \(N\) policy with an un-reliable server and single vacation ⋮ A maximum entropy approach for the \(\langle p,N\rangle\)-policy \(M/G/1\) queue with a removable and unreliable server ⋮ Maximum entropy analysis to the \(N\) policy M/G/1 queueing system with server breakdowns and general startup times ⋮ Entropy maximization andNTvacation M/G/1 model with a startup and unreliable server: comparative analysis on the first two moments of system size ⋮ Maximum entropy analysis to the \(N\) policy M/G/1 queueing system with a removable server ⋮ Entropy maximisation and queueing network models ⋮ On modeling failure and repair times in stochastic models of manufacturing systems using generalized exponential distributions ⋮ A universal building block for the approximate analysis of a shared buffer ATM switch architecture

Cites Work

• A maximum entropy analysis of the M/G/1 and G/M/1 queueing systems at equilibrium
• The mathematical analysis of the computer system modeled as a two stage cyclic queue
• The behaviour of a single queue in a general queueing network
• On Approximations for Queues, III: Mixtures of Exponential Distributions
• Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
• The Steady-State Queueing Time Distribution for the M/G/1 Finite Capacity Queue
• Prior Probabilities
• Nonpriority Multiprogramming Systems Under Heavy Demand Conditions—Customers' Viewpoint
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