A Closure Approximation for some Multi-servers queue using the strong stability method

Cherfaoui Mouloud; Aïssani Djamil; Adjabi Smail

Article Details

A Closure Approximation for some Multi-servers queue using the strong stability method

Authors:

Cherfaoui Mouloud | Aïssani Djamil | Adjabi Smail

Publisher:

Université Abderrahmane Mira de Béjaia

Journal:

Séminaire Mathématique de Béjaia Vol.12 Issue 1, pp.37-50

Document Type:

Article

Publication Date:

12/2013

Document Language:

English

Document ID (Org No.):

2001553174

pISSN:

2800-1214

Keywords:

Abstract:

 In this paper, we analyzed the stability of the M/M/oo system using the strong stability method, when this system is subject to a little perturbation at the level of the : s arrivals rate (GI/M/oo), s structure (GI/M/s) and s service rate (M/GI/oo).
For this purpose, we first determine the approximation conditions of the characteristics of the perturbed queuing system by those of the ideal system. Subsequently, under these conditions, we obtain the stability inequalities of the stationary distribution of the queue size.
Finally, to evaluate the performance of the strong stability method, we develop an algorithm that allows us to calculate the different theoretical results obtained and this in order to compare its output results with those of the simulation and to conclude on the quality of the method in question.

Article Details

A Closure Approximation for some Multi-servers queue using the strong stability method

Authors:

Cherfaoui Mouloud | Aïssani Djamil | Adjabi Smail

Publisher:

Université Abderrahmane Mira de Béjaia

Journal:

Séminaire Mathématique de Béjaia Vol.12 Issue 1, pp.37-50

Document Type:

Article

Publication Date:

12/2013

Document Language:

English

Document ID (Org No.):

2001553174

pISSN:

2800-1214

Multi-servers queue

Infinite-servers queue

Embedded Markov chain

Perturbation

Strong stability

Stability inequalities

Issues

Article Details

A Closure Approximation for some Multi-servers queue using the strong stability method

Authors: Cherfaoui Mouloud | Aïssani Djamil | Adjabi Smail

Publisher: Université Abderrahmane Mira de Béjaia

Journal: Séminaire Mathématique de Béjaia Vol.12 Issue 1, pp.37-50

Document Type: Article

Publication Date: 12/2013

Document Language: English

Document ID (Org No.): 2001553174

pISSN: 2800-1214

Multi-servers queue

Infinite-servers queue

Embedded Markov chain

Perturbation

Strong stability

Stability inequalities

Issues

Authors:

Cherfaoui Mouloud | Aïssani Djamil | Adjabi Smail

Publisher:

Université Abderrahmane Mira de Béjaia

Journal:

Séminaire Mathématique de Béjaia Vol.12 Issue 1, pp.37-50

Document Type:

Article

Publication Date:

12/2013

Document Language:

English

Document ID (Org No.):

2001553174

pISSN:

2800-1214