On a new formula for the transient state probabilities for M/M/1 queues and computational implications
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Publication:5286010
DOI10.2307/3214635zbMath0768.60086OpenAlexW2328814543MaRDI QIDQ5286010
Brian Conolly, Christos Langaris
Publication date: 29 June 1993
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3214635
Queueing theory (aspects of probability theory) (60K25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Probabilistic methods, stochastic differential equations (65C99)
Related Items (15)
On Quadrature Approximation for the Busy Period Density Function of an M/M/1 Queueing System ⋮ SCALING PROPERTIES OF QUEUES WITH TIME-VARYING LOAD PROCESSES: EXTENSIONS AND APPLICATIONS ⋮ Fractional queues with catastrophes and their transient behaviour ⋮ Computing transient performance measures for the \(M/M/1\) queue ⋮ The equivalence of the transient behaviour formulae for the single server queue ⋮ A state-dependent queueing system with asymptotic logarithmic distribution ⋮ Transient and steady-state analysis of hybrid arrivals of single and batch customers queueing systems with switch-off period ⋮ A continuous-time Markov chain under the influence of a regulating point process and applications in stochastic models with catastrophes ⋮ A Simple Formula for the Transient State Probabilities of an M/M/1/∞Queue ⋮ Computational Performance of Server Using the Mx/M/1 Queue Model ⋮ The transient solution to \(M/E_{k}/1\) queue ⋮ A new formula for the transient solution of the Erlang queueing model ⋮ Computation of the transient solution of M/M/1 queue ⋮ Stability and performance analysis of rate-based feedback flow controlled ATM networks ⋮ A new formula for the transient behaviour of a non-empty M/M/1/\(\infty\) queue.
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