Asymptotic analysis of the behavior of a multichannel queueing system functioning in a Markov medium

1995 ◽  
Vol 75 (4) ◽  
pp. 1852-1856
Author(s):  
L. I. Lukashuk ◽  
Yu. A. Semenchenko ◽  
Ya. Strik
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
System Functioning

An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals

1986 ◽  
Vol 34 (1) ◽  
pp. 105-119 ◽  
Author(s):  
David Y. Burman ◽  
Donald R. Smith
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
Markov Modulated

scholarly journals THE RAILWAY INFORMATION SYSTEM AS A QUEUEING SYSTEM

Transport ◽  
2009 ◽  
Vol 24 (4) ◽  
pp. 339-344 ◽  
Author(s):  
Alla Melikyan
Keyword(s):  
Information System ◽  
Information Systems ◽  
Organizational Structure ◽  
Queueing System ◽  
Research Data ◽  
Queuing System ◽  
Rolling Stock ◽  
Other Information ◽  
System Functioning ◽  
Infinite Linear

The present article dwells upon the Information System (IS) of Latvian railways providing the analysis of the queuing system (QS) used to removing defects occurring in the infinite linear queuing system. The author of the article analyzes research data about the failures of system functioning in order to establish the parameters of the before mentioned system and other information systems used by Latvian railways. The structure of accidents happening in the informative systems and the removal of possible defects are researched. The present investigation provides evidence that substantiates a Markov hypothesis about the peculiarities of IS service. The author also examines the organizational structure of IS taking into consideration the level of the danger of possible accidents. The statistics of the failures of IS relates to the statistics of accidents that might happen to rolling stock.

scholarly journals Asymptotic analysis of a queueing system by a two-dimensional state space

1984 ◽  
Vol 21 (4) ◽  
pp. 870-886 ◽  
Author(s):  
J. P. C. Blanc
Keyword(s):  
Asymptotic Analysis ◽  
Queue Length ◽  
Queueing System ◽  
Queueing Systems ◽  
Length Distribution ◽  
Time Dependent ◽  
Queue Length Distribution ◽  
Long Run ◽  
Dimensional State Space ◽  
Hilbert Type

A technique is developed for the analysis of the asymptotic behaviour in the long run of queueing systems with two waiting lines. The generating function of the time-dependent joint queue-length distribution is obtained with the aid of the theory of boundary value problems of the Riemann–Hilbert type and by introducing a conformal mapping of the unit disk onto a given domain. In the asymptotic analysis an extensive use is made of theorems on the boundary behaviour of such conformal mappings.

scholarly journals Asymptotic analysis of a queueing system by a two-dimensional state space

1984 ◽  
Vol 21 (04) ◽  
pp. 870-886
Author(s):  
J. P. C. Blanc
Keyword(s):  
Asymptotic Analysis ◽  
Queue Length ◽  
Queueing System ◽  
Queueing Systems ◽  
Length Distribution ◽  
Time Dependent ◽  
Queue Length Distribution ◽  
Long Run ◽  
Dimensional State Space ◽  
Hilbert Type

A technique is developed for the analysis of the asymptotic behaviour in the long run of queueing systems with two waiting lines. The generating function of the time-dependent joint queue-length distribution is obtained with the aid of the theory of boundary value problems of the Riemann–Hilbert type and by introducing a conformal mapping of the unit disk onto a given domain. In the asymptotic analysis an extensive use is made of theorems on the boundary behaviour of such conformal mappings.

scholarly journals Asymptotic Analysis of Retrial Queueing System M/M/1 with Impatient Customers, Collisions and Unreliable Server

2020 ◽  
pp. 218-230 ◽  
Author(s):  
Elena Yu. Danilyuk ◽  
Svetlana P. Moiseeva ◽  
Janos Sztrik
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
Analysis Method ◽  
Impatient Customers ◽  
Heavy Load ◽  
Gaussian Form ◽  
Retrial Queueing System ◽  
Retrial Queueing ◽  
Long Time ◽  
Number Of Customers

The retrial queueing system of M=M=1 type with Poisson flow of arrivals, impatient cus- tomers, collisions and unreliable service device is considered in the paper. The novelty of our contribution is the inclusion of breakdowns and repairs of the service into our previous study to make the problem more realistic and hence more complicated. Retrial time of customers in the orbit, service time, impa- tience time of customers in the orbit, server lifetime (depending on whether it is idle or busy) and server recovery time are supposed to be exponentially distributed. An asymptotic analysis method is used to find the stationary distribution of the number of customers in the orbit. The heavy load of the system and long time patience of customers in the orbit are proposed as asymptotic conditions. Theorem about the Gaussian form of the asymptotic probability distribution of the number of customers in the orbit is formulated and proved. Numerical examples are given to show the accuracy and the area of feasibility of the proposed method

Asymptotic analysis of a state dependent M/G/1 queueing system

1985 ◽  
Vol 5 (3) ◽  
pp. 205
Author(s):  
C. Knessl ◽  
B.J. Matkowsky ◽  
Z. Schuss ◽  
C. Tier
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
State Dependent
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