Analysis of the \(GI^ X/M/c\) model

DOI10.1007/BF01189245zbMath0789.60089OpenAlexW1982553402MaRDI QIDQ1319179

Yiqiang Q. Zhao

Publication date: 12 April 1994

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

Full work available at URL: https://doi.org/10.1007/bf01189245

zbMATH Keywords

numerical resultsimbedded Markov chainqueueing modelgenerating function of equilibrium probabilities

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (8)

Difference equations approach for multi-server queueing models with removable servers ⋮ Markovian queueing models with periodic-review ⋮ An approximation of general multi-server queues with bulk arrivals and batch service ⋮ Performance evaluation and dimensioning of \(GI^X/M/c/N\) systems through kernel estimation ⋮ Performance analysis of a \(GI^{[X}/Geo/m/N\) queue with partial- and total-batch rejection] ⋮ Analysis of \(GI^{X}/ M(n)// N\) systems with stochastic customer acceptance policy ⋮ Quality-related measures of unreliable machines with preventive maintenance ⋮ Analytically elegant and computationally efficient results in terms of roots for the \(\mathrm{GI}^X/\mathrm{M}/c\) queueing system

Uses Software

• QROOT

Cites Work

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• Algorithmic methods for multi-server queues with group arrivals and exponential services
• Exact and approximate numerical solutions of steady-state distributions arising in the queue \(GI/G/1\)
• Some results of the queueing system Ekx/M/c
• Computational Results of Multiserver Bulk-Arrival Queues with Constant Service Time MX/D/c
• Further Results for the Queueing System M x /M/c

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