Volume No. :   3

Issue No. :  4

Year :  2012

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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A Mathematical Derivation of Erlang Model B and C Formulas Used in the Terrestrial Propagation Mechanisms for Terrestrial Propagation Modeling



Address:   V. Rama Raju1* and R. Vaishnavi2
1Principal & Professor, ECE & CSE Dept., SSN College of Engg. & Technology, Ongole, Prakasham-523002, AP
2IV Year B. Tech (ECE) – II Semester, Dept of ECE, Vathsalya Institute of Science & Technology (VIST) Anantharam (V), Bhongir , Nalgonda Dist. 508116 AP
*Corresponding Author
DOI No:

ABSTRACT:
In this paper, the author derived the Erlang model B and C formulas mathematically and summed up approximately in/with fifty equations or expressions. The result analysis revealed that using signal to noise ratio (SNR) analysis techniques the noise floor can be predicted–determined. For instance, the two-ray ground model was used to estimate capacity in a spread spectrum cellular mobile system showed excellent results. Further, these model formulas describe the grade of service (GoS) as the probability that an arbitrary user will experience a blocked call in a lost call cleared systems. The likelihood of a call not having immediate access to a channel in a lost call delayed (LCD) system is determined. For LCD systems, the GoS is measured by the probability theory that calls will have delays greater than t seconds. The knowledge of Erlang C formula and service distribution is used to analyze GoS. It was assumed that a nearly 8 number of users are present in the system, and that all calls in the queue ultimately are serviced. The Erlang C model also assumes a large number of channels and a large number of users with similar calling patterns. The author assumes that, typically five or more channels are considered to be a sufficiently large number of channels
KEYWORDS:
A Mathematical Derivation of Erlang Model B and C Formulas Used in the Terrestrial Propagation Mechanisms for Terrestrial Propagation Modeling.
Cite:
V. Rama Raju, R. Vaishnavi. A Mathematical Derivation of Erlang Model B and C Formulas Used in the Terrestrial Propagation Mechanisms for Terrestrial Propagation Modeling . Research J. Engineering and Tech. 3(4): Oct-Dec. 2012 page 303-309.
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