A Poisson-Charlier approximation for nonstationary queues
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Publication:1785237
DOI10.1016/j.orl.2014.05.001zbMath1408.90088OpenAlexW2091018416MaRDI QIDQ1785237
Publication date: 28 September 2018
Published in: Operations Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.orl.2014.05.001
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items (11)
Linear differential equations for families of polynomials ⋮ Risk measures and their application to staffing nonstationary service systems ⋮ An analysis of queues with delayed information and time-varying arrival rates ⋮ A Law of Large Numbers for M/M/c/Delayoff-Setup Queues with Nonstationary Arrivals ⋮ Performance Approximation for Time-Dependent Queues with Generally Distributed Abandonments ⋮ Continuous approximation of \(M_t/M_t/ 1\) distributions with application to production ⋮ APPROXIMATING AND STABILIZING DYNAMIC RATE JACKSON NETWORKS WITH ABANDONMENT ⋮ Queues Driven by Hawkes Processes ⋮ Diffusion limits for the $(MAP_t / Ph_t / \infty)^N$ queueing network ⋮ Dynamic rate Erlang-A queues ⋮ The truncated normal distribution: applications to queues with impatient customers
Cites Work
- Gaussian skewness approximation for dynamic rate multi-server queues with abandonment
- Strong approximation for Markovian service networks
- Many-server heavy-traffic limit for queues with time-varying parameters
- Gram Charlier Expansion for Time Varying Multiserver Queues with Abandonment
- A TIME-VARYING CALL CENTER DESIGN VIA LAGRANGIAN MECHANICS
- A Closure Approximation for the Nonstationary M/M/s Queue
- The Physics of the Mt/G/∞ Queue
- NONSTATIONARY LOSS QUEUES VIA CUMULANT MOMENT APPROXIMATIONS
- Gaussian expansions and bounds for the Poisson distribution applied to the Erlang B formula
- Orthogonal functionals of the Poisson process
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