Some explicit formulas and computational methods for infinite-server queues with phase-type arrivals

DOI10.2307/3213039zbMath0428.60094OpenAlexW4248633843MaRDI QIDQ3865258

Vaidyanathan Ramaswami, Marcel F. Neuts

Publication date: 1980

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213039

zbMATH Keywords

phase type distributionsinfinite-server queuecomputational probabilityinsensitivity results

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

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The Wei-Norman method for the infinite-server queue with phase-type arrivals ⋮ Production-inventory systems in stochastic environment and stochastic lead times ⋮ A Markovian arrival stream approach to stochastic gene expression in cells ⋮ Analysis of a finite capacity assembly system ⋮ An Infinite-Server Queueing $$MMAP_k|G_k|\infty $$ Model in Semi-Markov Random Environment Subject to Catastrophes ⋮ Tollbooth tandem queues with infinite homogeneous servers

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