Distribution of number served during a busy period of GI/M/1/N queues: Lattice path approach
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Publication:1347962
DOI10.1016/S0378-3758(01)00148-3zbMath1002.60084OpenAlexW2003323545WikidataQ126527169 ScholiaQ126527169MaRDI QIDQ1347962
Publication date: 15 May 2002
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-3758(01)00148-3
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Related Items (4)
Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distributions ⋮ Lattice path approach for busy period density of \(M/G/1\) queues using \(C_{3}\) Coxian distribution ⋮ An \(M/G/1\) queue with two phases of service subject to the server breakdown and delayed repair ⋮ Lattice path approaches for busy period density of \(GI^b/G/1\) queues using \(C_2\) Coxian distributions
Cites Work
- Transient behaviour of an M/M/1/N queue
- Lattice path approach to transient solution of \(M/M/1\) with (\(0,k\)) control policy
- Combinatorial approach to Markovian queueing models
- Transient analysis of queues with heterogeneous arrivals
- Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distributions
- Characterizations of generalized hyperexponential distribution functions
- Discrete-Time Queuing Theory
- A Combinatorial Method in the Theory of Queues
- Lattice paths combinatorics applied to transient queue length distribution of C\(_2/\)M/1 queues and busy period analysis of bulk queues C\(_2^b/\)M/1
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