The equivalence of the transient behaviour formulae for the single server queue

DOI10.1081/SAP-120003442zbMath0999.60084MaRDI QIDQ4542194

Ahmed M. K. Tarabia

Publication date: 25 November 2002

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

M/M/1 queueM/M/1/N queue

Mathematics Subject Classification ID

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

Related Items (2)

A new formula for the busy period of a non-empty multiserver queueing system ⋮ Exact transient solutions of nonempty Markovian queues

Cites Work

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• Transient behaviour of an M/M/1/N queue
• The transient solution of M/M/1 queues under (M,N)-policy. A combinatorial approach
• THE JOINT ARRIVAL AND DEPARTURE PROCESS FOR THE M/M/l QUEUE
• Transient solution to the many-server Poisson queue: a simple approach
• Transient behavior of the M/M/1 queue via Laplace transforms
• Further comments on the solution of the M/M/1 queue
• Some New Results for the M/M/1 Queue
• A Simple Formula for the Transient State Probabilities of an M/M/1/∞Queue
• A sample path analysis of the M/M/1 queue
• On a new formula for the transient state probabilities for M/M/1 queues and computational implications

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