The transient solution to a class of Markovian queues

DOI10.1016/0898-1221(92)90223-5zbMath0782.60062OpenAlexW2065661235MaRDI QIDQ1206092

Masaaki Kijima

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)90223-5

zbMATH Keywords

busy period densitybulk-arrivaltransient behavior of Markovian queues

Mathematics Subject Classification ID

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

Related Items (4)

On Quadrature Approximation for the Busy Period Density Function of an M/M/1 Queueing System ⋮ Computational Performance of Server Using the Mx/M/1 Queue Model ⋮ On the number of customers lost in a finite state-dependent queue. ⋮ Exact time-dependent solutions for the $M / D / 1$ queue

Cites Work

• Unnamed Item
• Many server queueing processes with Poisson input and exponential service times
• Some exact expressions for the bulk-arrival queue \(M^ x/M/1\)
• Markov chain models - rarity and exponentiality
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Transient solution to the many-server Poisson queue: a simple approach
• ON THE UNIMODALITY OF TRANSITION PROBABILITIES IN MARKOV CHAINS
• Spectral structure of the first-passage-time densities for classes of Markov chains
• Transient behavior of the M/M/1 queue via Laplace transforms
• Spectral theory for the differential equations of simple birth and death processes

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