On stationary queue length distributions for G/M/s/r queues

DOI10.1007/BF01150044zbMath0673.60100MaRDI QIDQ1120916

S. H. Smith

Publication date: 1988

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

zbMATH Keywords

batch arrivalsprobabilitiesstationary point processrelations between arrival- and time-stationary

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

On the GI/M/\(\infty\) queue with batch arrivals of constant size ⋮ On the GI/M/\(\infty\) service system with batch arrivals and different types of service distributions ⋮ Vessels arrival process and its application to the SHIP/M/\(\infty\) queue ⋮ Heavy traffic asymptotics of the queue length in the GI/M/l – K queue

Cites Work

• The intensity conservation law for queues with randomly changed service rate
• The substability and ergodicity of complicated queueing systems
• A method for solving a class of recursive stochastic equations
• A Combinatorial Method in the Theory of Queues
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