On an M1,M2/Gr/1 queueing system

On an M1,M2/Gr/1 queueing system

The author studies a service delayed queueing system with priority discipline. The joint queue size distribution is derived in the steady state.

Bibliographic Details
Main Author:	Lotfi Tadj
Format:	Article
Language:	English
Published:	Hindawi Limited 2000-01-01
Series:	Mathematical Problems in Engineering
Subjects:	Queue; Embedded Markov chain; Priority discipline; Joint distribution; Steady-state distribution.
Online Access:	http://dx.doi.org/10.1155/S1024123X00001447

Similar Items

On an <math alttext="$mathrm{M}^{1},mathrm{M}^{2}/mathrm{G}^{r}/1$"> <mrow> <msup> <mtext>M</mtext> <mtext>1</mtext> </msup> <msup> <mrow> <mo>,</mo> <mtext>M</mtext> </mrow> <mtext>2</mtext> </msup> <msup> <mrow> <mtext/> <mo>/</mo> <mtext>G</mtext> </mrow> <mi>r</mi> </msup> <mo>/</mo> <mn>1</mn> </mrow> </math> queueing system
by: Tadj Lotfi
Published: (2000-01-01)

On a bulk queueing system with impatient customers
by: Tadj Lotfi, et al.
Published: (1997-01-01)

On a bulk queueing system with impatient customers
by: Lotfi Tadj, et al.
Published: (1998-01-01)

On the performance of the M1,M2/G1,G2/1 retrial queue with pre-emptive resume policy
by: Boutarfa Leila, et al.
Published: (2015-01-01)

Steady-State Analysis of a Flexible Markovian Queue with Server Breakdowns
by: Messaoud Bounkhel, et al.
Published: (2019-03-01)

Entropy Analysis of a Flexible Markovian Queue with Server Breakdowns
by: Messaoud Bounkhel, et al.
Published: (2020-09-01)

M/G/1 vacation model with limited service discipline and hybrid switching-on policy
by: Babitsky Alexander V.
Published: (1997-01-01)

M/G/1 vacation model with limited service discipline and hybrid switching-on policy
by: Alexander V. Babitsky
Published: (1997-01-01)

Approximation of the steady state system state distribution of the M/G/1 retrial queue with impatient customers
by: Stihi Nadjet, et al.
Published: (2012-01-01)

On a modified M/M/$m$/$n$ queueing model
by: Mario Lefebvre
Published: (2021-04-01)

Some problems of priority in queueing systems
by: Al-Fattal, H. N.
Published: (1986)

STEADY-STATE AND FIRST PASSAGE TIME DISTRIBUTIONSFOR WAITING TIMES IN THE MAP/M/s + G QUEUEING MODEL WITH GENERALLY DISTRIBUTED PATIENCE TIMES
by: Akar, N., et al.
Published: (2022)

On the single-server retrial queue
by: Djellab Natalia V.
Published: (2006-01-01)

QUEUEING DISCIPLINES BASED ON PRIORITY MATRIX
by: Taufik I. Aliev, et al.
Published: (2014-11-01)

The M/G/1 queueing model with preemptive random priorities
by: Moshe Haviv
Published: (2015-11-01)

A queueing system with a fixed accumulation level, random server capacity and capacity dependent service time
by: Jewgeni H. Dshalalow, et al.
Published: (1992-01-01)

Bounds of the stationary distribution in M/G/1 retrial queue with two-way communication and n types of outgoing calls
by: Alem Lala Maghnia, et al.
Published: (2019-01-01)

A class of G/M/1 priority queues and its application to performance analysis
by: Whiting, P. A.
Published: (1987)

Identification of waiting time distribution of M/G/1, Mx/G/1, GIr/M/1 queueing systems
by: A. Ghosal, et al.
Published: (1988-01-01)

Waiting-line problems with priority assignment, and its application on hospital emergency department wait-time
by: Chang, Hsing-Ming
Published: (2011)

Waiting-line problems with priority assignment, and its application on hospital emergency department wait-time
by: Chang, Hsing-Ming
Published: (2011)

An Analysis Method of Open Queueing Networks with a Degradable Structure and Instantaneous Repair Times of Systems
by: Tananko , Igor' Evstaf'evich, et al.
Published: (2020-06-01)

Analysis of an M/M/1 Queue with Customer Interjection
by: Aliakbar Chavoushi, Alireza
Published: (2010)

A discrete-time performance model for congestion control mechanism using queue thresholds with QOS constraints
by: Guan, Lin, et al.
Published: (2008)

Analysis of Single-Server Multi-Class Queue with Unreliable Service, Batch Correlated Arrivals, Customers Impatience, and Dynamical Change of Priorities
by: Alexander Dudin, et al.
Published: (2021-05-01)

Analysis of classical retrial queue with differentiated vacation and state dependent arrival rate.
by: Poonam Gupta, et al.
Published: (2021-07-01)

Modelling of Safety Concepts for Autonomous Vehicles using Semi-Markov Models
by: Bondesson, Carl
Published: (2018)

COMPACT REPRESENTATION OF THE PRIORITY MATRIX WITH HIGH DIMENSIONALITY
by: T. I. Aliev
Published: (2015-03-01)

On queue with two types of general heterogeneous service with Bernoulli feedback
by: Snigdha Mahanta, et al.
Published: (2018-01-01)

A Queueing Model to Study Ambulance Offload Delays
by: Majedi, Mohammad
Published: (2008)

A Queueing Model to Study Ambulance Offload Delays
by: Majedi, Mohammad
Published: (2008)

First passage processes in Queuing system MX/Gr/1 with service delay discipline
by: Lev Abolnikov, et al.
Published: (1994-01-01)

Performance Analysis of Preemptive Priority Retrial Queueing System with Disaster under Working Breakdown Services
by: Sherif I. Ammar, et al.
Published: (2019-03-01)

On mean waiting time completeness and equivalence of EDD and HOL-PJ dynamic priority in 2-class M/G/1 queue
by: Manu Gupta, et al.
Published: (2015-11-01)

Evaluation of the traffic coefficient in priority queueing systems
by: Gh. Mishkoy, et al.
Published: (2008-07-01)

On the Inter-Departure Times in <inline-formula> <tex-math notation="LaTeX">$M/\widetilde{D}/1/{B}_{on}$ </tex-math></inline-formula> Queue With Queue-Length Dependent Service and Deterministic/Exponential Vacations
by: Madhu Babu Sikha, et al.
Published: (2019-01-01)

A single queue with mutually replacing m servers
by: Madan K. C.
Published: (1998-08-01)

Performance Analysis Of A Variation Of The Distributed Queueing Access Protocol
by: Gautam, S Vijay
Published: (2005)

Queueing Analysis of CDMA Unslotted ALOHA Systems with Finite Buffers
by: Okada, Hiraku, et al.
Published: (1998)

MULTICRITERIAL OPTIMIZATION OF PRIORITY QUEUEING SYSTEMS OPERATING AT COMPETITIVE INPUT FLOWS
by: V. A. Chekmenev, et al.
Published: (2014-02-01)