Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distributions
type: Item
instance of: scholarly article
title: Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distributions
zbMATH Open document ID: 0993.60091
DOI: 10.1016/S0378-3758(01)00161-6
author: Kanwar Sen
published in: Journal of Statistical Planning and Inference
publication date: 2002-05-15T00:00:00Z
review text: Explicit busy period density function for non-Markovian finite queues M/G/1/N with two-phase Coxian service time distribution has been obtianed by using lattice paths combinatorics. The result is important since there is no explicit transient solution available of this kind.
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 1741594
zbMATH Keywords: finite non-Markovian queues
zbMATH Keywords: busy period analysis
zbMATH Keywords: Cox distribution
zbMATH Keywords: lattice paths combinatorics
reviewed by: János Sztrik
MaRDI profile type: Publication
cites work: Distribution of number served during a busy period of GI/M/1/N queues: Lattice path approach
cites work: Time-Inhomogenous Bulk Server Queue in Discrete Time: A Transportation Type Problem
cites work: Q4317943
cites work: Transient analysis of queues with heterogeneous arrivals
cites work: Characterizations of generalized hyperexponential distribution functions
cites work: Q3227148
cites work: Q5538132
cites work: Q3806522
cites work: Q4353168
cites work: 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
cites work: Q4327130
cites work: Q4269184
cites work: Combinatorial approach to Markovian queueing models
cites work: Lattice path approach to transient solution of \(M/M/1\) with (\(0,k\)) control policy
cites work: Q4234742
cites work: Q3859254
cites work: Discrete-Time Queuing Theory
cites work: Q3903764
cites work: Q3212100
cites work: Q3358023
cites work: Q3844682
cites work: Q4001942
cites work: Transient behaviour of an M/M/1/N queue
cites work: A Combinatorial Method in the Theory of Queues
Recommended article: Lattice path approaches for busy period density of \(GI^b/G/1\) queues using \(C_2\) Coxian distributions
Recommended article: Lattice path approach for busy period density of \(GIa/Gb/1\) queues using \(C_{2}\) Coxian distributions
Recommended article: Q4353168
Recommended article: Lattice path approach for busy period density of \(M/G/1\) queues using \(C_{3}\) Coxian distribution
Recommended article: 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
Recommended article: Q4234742
Recommended article: Transient analysis of Markov-fluid-driven queues
Recommended article: Transient analysis of a Markovian queue with chain sequence rates and total catastrophes
description: scientific article; zbMATH DE number 1741594