state for tree based admission control
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7/31/2019 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
tree based admission control.
: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 N1 7c1 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 c1m+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),21802184
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 8790,(2005)

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3.M.Kopeetsky, Mathematical modeling of thewireless communication network,(9)(1)(2005),3239
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)