Duality between the \(M/G/s/s\) and \(GI/M/1/s/s\) queues

DOI10.1016/0898-1221(92)90225-7zbMath0782.60063OpenAlexW1994399482MaRDI QIDQ1206094

Toshikazu Kimura

Publication date: 1 April 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(92)90225-7

zbMATH Keywords

communication channelsErlang's loss systemmodel of telephone exchanges

Mathematics Subject Classification ID

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

Related Items (2)

Finite source Erlang based queueing systems: Complementarity, equivalence and their implications ⋮ Correspondences to abelian varieties. I

Cites Work

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• On the finite-source \(\vec G/M/r\) queue
• The output of loss systems with general service time distributions
• The G/M/r machine interference model
• Imbedded Markov chains in queueing systems M/G/1 and GI/M/1 with limited waiting room
• On the M/G/k group-arrival loss system
• The M/G/k loss system with servers subject to breakdown
• Analysis and Optimization of a Loss Service System with Servers Subject to Random Breakdowns
• Duality and Other Results for M/G/1 and GI/M/1 Queues, Via a New Ballot Theorem
• The M/G/k Blocking System with Heterogeneous Servers
• Poisson Arrivals See Time Averages
• The Generalized M/G/k Blocking System with Heterogeneous Servers
• The M/G/k group-arrival group-departure loss system
• Technical Note—The Busy Probability in M/G/N Loss Systems
• A Generalization of Erlang's Loss System to State Dependent Arrival and Service Rates
• Some Properties of the Erlang Loss Function
• On Erlang's Formula
• Erlang's formula and some results on the departure process for a loss system
• A Combinatorial Method in the Theory of Queues

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