IEICE TRANSACTIONS on Communications
Mobile Telecommunication Systems and Generalized Erlang Loss Formula
Summary :
This paper studies a cellular system with mobile customers. The network system consists of cells, the tagged cell and the adjacent cells which surround the tagged one. Each cell has a finite number of channels that give calls to the mobile customers. The service (holding) time distribution of the calls is general. Customers in the adjacent cells inflow into the tagged cell according to a Poisson process. The sojourn time distribution of each customer in the tagged cell is general. Each customer without call in progress generates his call according to a Poisson process. It is proved that the steady state distribution in the tagged cell is the generalized Erlang loss formula which is the joint distribution of the number of customers with calls and the number of customers without calls. The distribution depends on the service time distribution and the sojourn time distribution only through their means.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E88-B No.1 pp.183-189
- Publication Date
- 2005/01/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietcom/e88-b.1.183
- Type of Manuscript
- PAPER
- Category
- Fundamental Theories for Communications
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Fumiaki MACHIHARA, "Mobile Telecommunication Systems and Generalized Erlang Loss Formula" in IEICE TRANSACTIONS on Communications,
vol. E88-B, no. 1, pp. 183-189, January 2005, doi: 10.1093/ietcom/e88-b.1.183.
Abstract: This paper studies a cellular system with mobile customers. The network system consists of cells, the tagged cell and the adjacent cells which surround the tagged one. Each cell has a finite number of channels that give calls to the mobile customers. The service (holding) time distribution of the calls is general. Customers in the adjacent cells inflow into the tagged cell according to a Poisson process. The sojourn time distribution of each customer in the tagged cell is general. Each customer without call in progress generates his call according to a Poisson process. It is proved that the steady state distribution in the tagged cell is the generalized Erlang loss formula which is the joint distribution of the number of customers with calls and the number of customers without calls. The distribution depends on the service time distribution and the sojourn time distribution only through their means.
URL: https://global.ieice.org/en_transactions/communications/10.1093/ietcom/e88-b.1.183/_p
Copy
@ARTICLE{e88-b_1_183,
author={Fumiaki MACHIHARA, },
journal={IEICE TRANSACTIONS on Communications},
title={Mobile Telecommunication Systems and Generalized Erlang Loss Formula},
year={2005},
volume={E88-B},
number={1},
pages={183-189},
abstract={This paper studies a cellular system with mobile customers. The network system consists of cells, the tagged cell and the adjacent cells which surround the tagged one. Each cell has a finite number of channels that give calls to the mobile customers. The service (holding) time distribution of the calls is general. Customers in the adjacent cells inflow into the tagged cell according to a Poisson process. The sojourn time distribution of each customer in the tagged cell is general. Each customer without call in progress generates his call according to a Poisson process. It is proved that the steady state distribution in the tagged cell is the generalized Erlang loss formula which is the joint distribution of the number of customers with calls and the number of customers without calls. The distribution depends on the service time distribution and the sojourn time distribution only through their means.},
keywords={},
doi={10.1093/ietcom/e88-b.1.183},
ISSN={},
month={January},}
Copy
TY - JOUR
TI - Mobile Telecommunication Systems and Generalized Erlang Loss Formula
T2 - IEICE TRANSACTIONS on Communications
SP - 183
EP - 189
AU - Fumiaki MACHIHARA
PY - 2005
DO - 10.1093/ietcom/e88-b.1.183
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E88-B
IS - 1
JA - IEICE TRANSACTIONS on Communications
Y1 - January 2005
AB - This paper studies a cellular system with mobile customers. The network system consists of cells, the tagged cell and the adjacent cells which surround the tagged one. Each cell has a finite number of channels that give calls to the mobile customers. The service (holding) time distribution of the calls is general. Customers in the adjacent cells inflow into the tagged cell according to a Poisson process. The sojourn time distribution of each customer in the tagged cell is general. Each customer without call in progress generates his call according to a Poisson process. It is proved that the steady state distribution in the tagged cell is the generalized Erlang loss formula which is the joint distribution of the number of customers with calls and the number of customers without calls. The distribution depends on the service time distribution and the sojourn time distribution only through their means.
ER -
English
