DocumentCode
449302
Title
An approach to reduce the Erlang B probability of the M/M/2/2 system
Author
Liu, Xian
Author_Institution
Dept. of Syst. Eng., Arkansas Univ., Little Rock, AR, USA
Volume
1
fYear
2005
fDate
28 Nov.-2 Dec. 2005
Abstract
It is well known that the Erlang B probability of an M/M/1/1 system can be reduced by evenly splitting the capacity of its single server into two servers, which leads to an M/M/2/2 system with homogeneous servers. In this paper, we analytically prove that the Erlang B probability can be further reduced by unevenly splitting the capacity of the single server into two servers, which leads to an M/M/2/2 system with heterogeneous servers. As a matter of fact, there exists an optimal load ratio of the two heterogeneous servers at which the Erlang B probability reaches its minimum.
Keywords
network servers; probability; Erlang B probability; M/M/1/1 system; M/M/2/2 system; server; Capacity planning; Constraint optimization; Constraint theory; Control systems; Operating systems; Probability distribution; Queueing analysis; Steady-state; Systems engineering and theory; Telephony;
fLanguage
English
Publisher
ieee
Conference_Titel
Global Telecommunications Conference, 2005. GLOBECOM '05. IEEE
Print_ISBN
0-7803-9414-3
Type
conf
DOI
10.1109/GLOCOM.2005.1577358
Filename
1577358
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