# state for tree based admission control

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Shyam Sundar Sah

(M.Phil.Student)

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About my paper Example of voice and data transmission

Delay sensitive

Loss sensitive How the queue of data and voice formed

Problem:

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BS : Base station VCT : Virtual connection tree

MH : Mobile handset

VCA : Virtual connection area QoS : Quality of service

: Arrival rate

H : hand over calls

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:Exponential call duration of mean value C : Total radio channels :Probability of new call blocked by the

:Probability of new call blocked by the cellbased admission control.

7 :The tree contain seven cells and the treenew call arrival rate.

:The rate of handover calls in tree based :Handover blocking probability of data in

a cell

1

pc

pt

phbd

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:The arrival rate :call releasing rate

:The probability have occupied the i state

: Arrival rate of call in cell based wirelessadmission control

:Rate of hand over calls into a cell basedwireless admission control

chc

c

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:Probability of occupied radio channels upto state i in the cell.

:New call blocking probability of celladmission control

: handover blocking probability of call inthecell

:forced termination probability of call

:forced termination probability of data

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...

The arrival rate of calls and data is given by

A call in tree is released with rate

N+1N210 N-1 7c-1 7c

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(1)

(2)

(3)

Balance equations from above transition diagram are :

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(4)

(5)

(6)

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(7)

(8)

(9)

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From equation (1)

From equation (2)

From equation (3)

(10)

(11)

(12)

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From equation (4)

From equation (5)

From equation (6)

(13)

(14)

(15)

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From equation(7)

From equation(8)

From equation(9)

(16)

(17)

(18)

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The probability that calls have occupied theith state is

Where

Or,

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(19)

(20)

(21)

..0 1 cm c-1m+1

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(22)

(23)

(24)

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(26)

(25)

(27)

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from equation(19)

(29)

(28)

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From equation (20)

From equation (21)

From equation (22)

From equation (23)

(30)

...(31)

(32)

(33)

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From equation (24)

From equation (25)

From equation (26)

From equation (27)

(34)

(35)

(36)

(37)

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The probability that calls and data have occupiedthe ith state is

We know that

or

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The arrival rate

Rate of handover calls and data into a cellare

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The call arrival rate of queue model is

The release rate in queue model is

At last the probability of new call blocked by treebased admission control is

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and the hand over probability for calls and dataare:

and

the forced termination probability of call andhandover data are:

and

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Particular case:1.When =o and =o our model

reduces to the model given by Ionnous

et al. [2],and Louvros et al. [6]

chd thd

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1. H.Wu, L.Li, B.Li, Y.Li, I.Chlamatae and B.Li,Onhandoff performance for an intergratedvoice/data cellular system,IEEE,(2002),2180-2184

2. K.Ioannou,J.Pylarionos,S.Louvros,I.Panoutspoulus,I.Kougias,A.Grampis and S.Kotsopoulus,Two layer call admission control analysis inmicrocellular wireless network, proceeding

of the 4rth WSEAS international conferenceon information security communications andcomputers, Tenerife, Spain, pp 87-90,(2005)

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3.M.Kopeetsky, Mathematical modeling of thewireless communication network,(9)(1)(2005),32-39

4.J.Tsiligaridis and R.Acharya, A tree based data

mining prediction scheme for wireless cellularnetwork, proceedings of the internationalconference on information technology (2005)

5.M.S.Hossain, M.I.Islam and M.R.A.Khandaker, A

comparative study of cell based and tree basedcall admission control for mobile cellularnetwork,(1)(1)(2007)