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Online Spectrum Allocation for Cognitive Cellular Network Supporting Scalable Demands
Jianfei Wang 2011-5-23
System Assumption
• Queue System– Arrival of users’ request• Possion process
– Customer’s service time• Exponential distribution
– Queuing rules• FCFS
– Capacity of the system
State Machine of System
1
1 2
2 3
3
,
,
,
, 1
rich
normal
poor
terrible
S f f
S f f fState
S f f f
S f f
Stabilization of Normal State
• M/M/N0/N0
0
0 0
0
0
1
0!
0
1
1!
k
kk
N k
kk
p k Np k
k N
p
k
2 0 22
2
**
a
f wr
w
State Boundary
• Boundary between Normal and Poor
• Boundary between Rich and Normal
• Frequency Ratio of Normal State– Frequency Utility Ratio vs Block Probability.
( ( ) | ) 1%n t nP N t k 0 0
0 * 0.01!
n n
N N i
i ii k i k
p pi
( ( ) | ) 1%.m t nP N t k
Estimation of Departure Rate
• Data Source– The Customers who recently depart– The customers who are active
1ˆ
est
est
i activei N
N
t T
Evaluation
• Evaluate Parameters– f2=0.8
1 2 3 4 5 6 7 8
f1 0.564153 0.483221 0.4066 0.377457 0.322373 0.315271 0.474543 0.594657
f3 0.95 0.95 0.95 0.95 0.95 0.95 0.95 0.95
9 10 11 12 13 14 15 16
f1 0.633976 0.668163 0.68019 0.684547 0.686111 0.695397 0.696661 0.698121
f3 0.95 0.944143 0.922292 0.91273 0.914815 0.906657 0.906498 0.908398
17 18 19 20 21 22 23 24
f1 0.694996 0.686159 0.684864 0.680694 0.677629 0.658058 0.652859 0.626415
f3 0.908841 0.9181 0.920285 0.922975 0.928602 0.935905 0.95 0.95
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