An application of Riordan arrays to the transient analysis of \(M/M/1\) queues
From MaRDI portal
Publication:275072
DOI10.1016/j.amc.2014.03.142zbMath1334.90032OpenAlexW2050730260MaRDI QIDQ275072
Bong Dae Choi, Gi-Sang Cheon, Sung-Tae Jin
Publication date: 25 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.142
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items
Exact time-dependent solutions for the $M / D / 1$ queue ⋮ Riordan arrays and related polynomial sequences
Cites Work
- Unnamed Item
- Unnamed Item
- The double Riordan group
- Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
- Identities induced by Riordan arrays
- Riordan group involutions and the \(\varDelta \)-sequence
- The relevant prefixes of coloured Motzkin walks: an average case analysis
- The Riordan group
- Riordan arrays and combinatorial sums
- The combinatorics of birth-death processes and applications to queues
- Waiting patterns for a printer
- Services within a busy period of an M/M/1 queue and Dyck paths
- Lattice path counting and \(M/M/c\) queueing systems
- Combinatorial inversions and implicit Riordan arrays
- On Some Alternative Characterizations of Riordan Arrays