Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distributions

DOI10.1016/S0378-3758(01)00161-6zbMath0993.60091MaRDI QIDQ1347971

Kanwar Sen

Publication date: 15 May 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

Cox distributionlattice paths combinatoricsbusy period analysisfinite non-Markovian queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items

Distribution of number served during a busy period of GI/M/1/N queues: Lattice path approach ⋮ 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
• Distribution of number served during a busy period of GI/M/1/N queues: Lattice path approach
• Time-Inhomogenous Bulk Server Queue in Discrete Time: A Transportation Type Problem
• 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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