On the largest negative eigenvalue of the infinitesimal generator associated with M/M/n/n queues

DOI10.1016/0167-6377(90)90041-3zbMath0693.60082OpenAlexW2021295888MaRDI QIDQ908602

Masaaki Kijima

Publication date: 1990

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(90)90041-3

zbMATH Keywords

relaxation timeinfinitesimal generatorlargest negative eigenvaluesampling fluctuation

Mathematics Subject Classification ID

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

Related Items (9)

On strong ergodicity for nonhomogeneous continuous-time Markov chains ⋮ On the nonstationary Erlang loss model ⋮ Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes ⋮ Rate of convergence to stationarity of the system \( M / M / N / N + R \) ⋮ Mean characteristics of Markov queueing systems ⋮ Hitting time in Erlang loss systems with moving boundaries ⋮ On the speed of convergence to stationarity of the Erlang loss system ⋮ Nonstationary Markovian queues ⋮ On the transition of Charlier polynomials to the Hermite function

Cites Work

• Unnamed Item
• Unnamed Item
• Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
• Finite-time implications of relaxation times for stochastically monotone processes
• Markov chain models - rarity and exponentiality
• Non-negative matrices and Markov chains.
• ON THE RELAXATION TIME FOR SINGLE SERVER QUEUES
• Some Properties of the Erlang Loss Function
• Spectral theory for the differential equations of simple birth and death processes

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