Busy-period and blocking behavior of finite queues with state-dependent Markov renewal arrivals

DOI10.1007/BF01158951zbMath0794.60092MaRDI QIDQ1324100

Fumiaki Machihara

Publication date: 28 August 1994

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

zbMATH Keywords

stochastic orderingblocking probabilitiespreemptive resume disciplinebusy-period length distributions

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Cites Work

• A single-server queue with server vacations and a class of non-renewal arrival processes
• A new approach to the fundamental period of a queue with phase-type markov renewal arrivals
• On the busy-period distributions of M/G/1/K queues by state-dependent arrivals and FCFS/LCFS-P service disciplines
• Technical Note—A Note on the Busy Period of an M/G/1 Finite Queue
• Exponential spectra as a tool for the study of server-systems with several classes of customers
• FIRST PASSAGE TIMES OF PH/PH/1/K AND PH/PH/1 QUEUES
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