Title: Bandwidth Allocation For Contingency Cellular Network
1- ????????????????
- Bandwidth Allocation For Contingency
Cellular Network
????????? ??????
2Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
3Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
4Introduction
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- ????????3302?
- ??????????1800?
- 550?????????????
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9Golden 72 Hours
- ????,??72??????
- The survival rate is 90 within 24 hours
- 50 between 24 and 48 hours
- 20 between 48 and 72 hours.
- The chances of survival over 72 hours are quite
rare. -
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12Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
13?????????????????
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- ??????????????????????????????????????????????????
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- ????????,?????,???????
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- ??
- ????,??????,?????????????
- ??????,?????????????????
14?????????????
- ?????(Walkie-Talkie)
- ???????????,??????
- ??????,???????????
- ?????????????????????????????????
- ??
- ??????,?????
- ???????????
- ????????????
- ??
- ??????????? (e.g. ??)
- ??????????
- ????????
15?????????????
- ?????(Amateur radio)
- ????(Ham radio),????????,????????
- ??
- ???????????????????????????,?????????
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- ?????,????????,???????????
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16???????? ??????
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Orbit)??500015000km,?????????(Odyssey)?????(LEO
Low-Earth Orbit)??5001500km???,?Motorola???(Irid
ium) - ??
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17???????? ??????
- ??????(Trunking radio)
- ?????????,?Project 25?TETRA
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??????? - ?????????18?????11?????8??????
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19??????????MANET
- MANET(Mobile Adhoc Network )
- Ad hoc????????????????????,?????????????????????,?
???????,???????????? - P2Pnet
- ?????????????????????????????Multi-hop Ad-Hoc
Network??????? MANET,?????Internet????????????VoIP
???????????? - ??
- ?????????????????????????,??????
- ???????????,????,????,?????????
- ??
- ????????????????,???????????
- ??????VoIP???????,????
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20????????
???? ??? ?? ??????? ??????? ????????? ??????? ???? ?????
Walkie- Talkie ? ???? ? ????? ????? ? ? ?
Amateur Radio ? ??????? ? ? ????? ? ? ?
?????? ?? ?? ? ? ? ? ? ?
?????? ? (??) ?? ?(?????) ? ????? ? ? ?
?????? ? (??) ?? ?(?????) ? ? ? ? ?
MANET ? ??????? ???? ? ? ? ? ?
21Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
22CCN Introduction
- ???????????, CCN
- ????????????
- ????????????
- ????????????
- ????
- ????????????
23CCN?????
- ??2G?3G??????
- ????????
- ??????????
- ???????
- Reuse?????
- ??????????
- ????????,?????
- ??????topology,?????
- ?????????????????
- ????
- ???????line-of-sight??
- ?????
- ?????????????
- ?????
- ?????????
- ????(?????)????,??????
24CCN????
- Connected station(???)
- Isolated station(???)
- Contingency Recover Package(?????)
- Power module
- Inter-Cell Communications Module (ICC Module)
- Emulated Controller Module (EC Module)
- Satellite Communications Module (optional)
???
???
??????
???
(ICC Module)
???
25CCN????
ICC Module
ICC Module
26CCN???????
- ???????? (Damage Assessment Phase)
- ??????????? (CCN Planning Phase)
- ??????????????????
- ??????????? (CCN Deployment Phase)
- ??????????? (CCN Operation Phase)
- ??????
27CCN????
???? ?? ?/??? ?/??? ?/??? ?? ??
S Signaling Traffic Base Station ? Radio Core Network ????control message??call setup ????control message??call setup
1 ???? ???? ? ??(?)?? ?????? ?????? ?????????? ??????????
2 ???? ???? ???? ?????? ? ? ? ?????? ?????? ?????? ???????????? ????????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? ???????????????????????????? ????????????????????????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? A ?????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? B ?????????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? C ???????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? D ????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? E ????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? F ????????????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? G ?????????????
3 ???? ?????? ?????? ?????? ??(?)?? ? ? ? ? ?????? ?????? ????/???? ?????? H ?????????
4 ???? ????/???? ????/???? ?????? ?????? ? ? ? ? ???? ????? ?????? ???????? ?????????????????????? ??????????????????????
28CCN???????
CCN channel?? CCN channel??
??? ???????
???? ????
?? ????
- ???????????
- ????????????
- ?????????????
- ????????????
- ??????,?????
- ????????QoS
CCN ????channel?? CCN ????channel??
??????? ??????(Bandwidth/channel)
???? e.g.64K
???? e.g.16K
29CCN????
- ????(Ordinary Mode)
- CCN????????CCN?????????
- ??????
- ???????????
- ???????(Walkie-Talkie Mode)
- CCN??????????????????
- CCN??????????
- ????????????????????
- ????????????????????
- ?????
- ?119?? (CCN-119)
- ??????????,?118
- ???????????????????
30CCN????
- ??????(Priority Group Mode)
- ???????????
- ????????,??????????????
- ????????????,??????
- ??????,?????
- ????
- ?????,???????,?????
- ?????????????????
- ???,???????????????
- ???????????????
- ????
- CCN????????
- ????????,??12???1??????????
- ????
31????????
???? ??? ?? ??????? ??????? ????????? ??????? ???? ?????
Walkie- Talkie ? ???? ? ????? ????? ? ? ?
Amateur Radio ? ??????? ? ? ????? ? ? ?
?????? ?? ?? ? ? ? ? ? ?
?????? ? (??) ?? ?(?????) ? ????? ? ? ?
?????? ? (??) ?? ?(?????) ? ? ? ? ?
MANET ? ??????? ???? ? ? ? ? ?
CCN ?????? ? ? ??? ??? ? ? ? ? ?
32?? CCN ????????
- ????????
- ????????????????,?????????????????????????????????
?????? - ????
- ????????,????????,????????
- ????
- CCN???????????????,???????,??????????????????????,
??????,??????????,???????? - Intranet??
- ?????????????????????????,Intranet????????????????
????????????,???????????? - ???????
- ???????????????,????????,??????????
33?? CCN ????????
- ??????
- ?????priority based admission control policy
- ?????
- ?????EC module???,??????????,??forwarding
tree,????CCN??,??????,?????????? - ???CCN
- ??????????,???CCN???????
34CCN?????????
- ?????????????????,??????
- ??????,??????
- ????????????,??????????
35Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
36Bandwidth Allocation for CCN
- ????????????CCN????
- ???????
- Bandwidth allocation?????
- ??????
- ???QoS???????????
- ???????
37Bandwidth Allocation for CCN????
- Bandwidth Allocation??
- ??????
- ????????????
- Circuit Switching
- ???????
- ?????QoS
- ?????
- ??Bandwidth Allocation?Channel Allocation??
- Topology????????,???,Reallocate
38Bandwidth Allocation for CCNProblem Definition
- ????
- ????????,??
- ???????
- ???????
- ????(???, ??, ??)
- ????(???????????)
- ????
- ???
- ????
- ????????
- ??????
39Bandwidth Allocation for CCNProblem Definition
- ????
- ??????
- ???????
- ???????
- Aggregate traffic????upstream link capacity
- Local traffic
- Forwarding traffic
- ??????????
- ?????????,?????local traffic?????channel?
- ??channel??????
- ????????
40Model of Bandwidth Allocation for CCNCCN
forwarding tree
- Given CCN forwarding tree T(V,E), where
- , v1 is the
root of T -
- Cci i1,2,3,,n is the set of uplink
capacity of vi - ci the uplink capacity of vi
- ci cj , if vj is the parent node of vi
41Model of Bandwidth Allocation for CCNCCN
channel class
- Bbj j1,2,3,,m is the set of bandwidth
required per channel class - bj the bandwidth required of channel class j
Channel class Bandwidth/Channel (bj)
1 e.g.64K
2 e.g.32K
3 e.g.16K
m e.g. ?K
42Model of Bandwidth Allocation for CCNCCN profit
function for bandwidth allocation
-
is the set of the profit of channel assigned - fij the profit of the first channel of class j
assigned to vi - g(k) the profit attenuation function of the
k-th same channel class assigned to the same
node, for example, g(k) ,
43Model of Bandwidth Allocation for CCNCCN
channel assigned for basic needs
- is the
set of the amount of basic channel needs -
- dij the basic needs of channel class j
assigned to vi
44Model of Bandwidth Allocation for CCNCCN
channel assigned
- is the
set of the amount of channel assigned -
- aij the amount of channel class j assigned to
vi -
45Model of Bandwidth Allocation for CCNObjective
function
- Our problem is to find aij A,
- such that
- is maximized
- subject to
- and
-
- is local
bandwidth required of vi
46Problem ComplexityKnapsack Problem
- 0-1 Knapsack Problem?N????????,??
- ??????W (w1, w2, , wn) ???P (p1, p2, , pn)
- ????????????C
- ???????????
- 0-1 Knapsack Problem is NP-Hard
- Richard M. Karp (1972). "Reducibility Among
Combinatorial Problems. In R. E. Miller and J.
W. Thatcher (editors). Complexity of Computer
Computations. New York Plenum. pp. 85103. - Garey, M. D. Johnson. Computers and
Intractability A Guide to the Theory of
NP-Completeness. 1979. ISBN 0-7167-1045-5.
47Problem ComplexityBandwidth Allocation for CCN
- Bandwidth Allocation for CCN (CCN-BA)
- ???????(vi),?m?channel class?????,???uplink????,??
- ??Channel class???????? (b1, b2, , bm)??? (fi1,
fi2, , fim) - ??uplink????????(ci)
- ????channel???????
- Nested 0-1 Knapsack Problem
- CCN forwarding tree
BW of Channel class (b1, b2, , bm)
???(vi) ?? (fi1, fi2, , fim)
48Problem Complexity Reduce CCN-BA to Knapsack
Problem
CCN-BA
0-1 Knapsack Problem
- T(V,E)
- V v1, E Ø
- C C
- B W
- F P
- D 0
- G 1
49Problem ComplexityNP-Hard
- Given an instance XC,W,P in 0-1 knapsack
problem, we can find an instance
YV,T,C,B,F,D,G in CCN-BA such that an optimal
solution ay for Y is also an optimal solution for
X. Let instance Y be a one level tree, where
VTv1, CC, BW, FP, D0, and G1.
Denote the total profit of a solution a for X and
Y to be px(a) and py(a), respectively. Because
FP, we can easily prove px(a) and py(a) are
equal. For simplicity, both px(a) and py(a) are
denoted as p (a). - First, we prove ay is a valid allocation for X.
Since BW, FP, and CC, any solution of Y
whose total bandwidth must less than or equal to
the given limit C so that ay must be a valid
allocation for X. - Since instance Y is a one level tree, for a
similar argument, we can prove that any valid
allocation ax for X is also a valid allocation
for Y.
50Problem ComplexityNP-Hard
- Next, we prove that an optimal solution ay for Y
is also an optimal solution for X by
contradiction. As we have proved, ay is also a
valid allocation for X, whose total profit is
p(ay). Assume ay is not an optimal allocation for
X, there must be another allocation ax, whose
total profit p(ax) is greater than p(ay). And any
valid ax is also a valid allocation for Y, whose
total profit is p(ax), which is greater than
p(ay). This contradicts to the assumption that ay
is an optimal solution for Y. As a result, ay
must be an optimal solution for X. The reduction
of CCN-BA to 0-1 Knapsack Problem is done. The
proof of NP-hardness of CCN-BA is
straightforward. Q.E.D. - Bandwidth Allocation for CCN is a nested 0-1
knapsack problem and NP-Hard
51Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
52Heuristic Algorithm Design
- Bandwidth Allocation Greedy approach (BAG) Flow
Diagram
profit densityF/bj
53Heuristic Algorithm Design
- BAG algorithm pseudo code
- Greedy approach
- CCN-BA(T,C,B,F,D)
- Set A / the amount of channel class j
assigned to vi/ - Set V /???channel?candidate node/
- initial A D
- initial V VT
- initial C C-(A B)
- if any ci lt minimum bj
- delete vi descent(vi) from V
- end if
54Heuristic Algorithm Design
- BAG algorithm pseudo code
- Greedy approach (cont.)
- while V is not empty do
- sort F of V by profit density
- let fij g(k) be a highest profit density
assign of F subject to min_ci(from - vi to v1) bj
- plus 1 to aij
- minus bj from each ci(from vi to v1)
- update fij g(k1) to F
- if any ci lt minimum bj
- delete vi descent(vi) from V
- end if
- end while
55CCN-BA BAG example
CCN forwarding tree
Bandwidth requirement of channel class
Channel class Bandwidth/channel (bj)
1 12K
2 7K
3 5K
Attenuation Function g(k)
Initial profit (fij)
Basic needs (dij)
channel class vi 12k 7k 5k
v1 16 13 5
v2 15 10 7
v3 25 20 10
v4 18 12 8
v5 29 23 15
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 0 1 0
v4 0 1 0
v5 0 1 0
56CCN-BA BAG example
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 0 1 0
v4 0 1 0
v5 0 1 0
Allocation (aij)
Profit of channel assigned
Channel Class Node 12k 12k 7k 7k 5k 5k
Channel Class Node profit Profit density profit Profit density profit Profit density
v1 16 1.33 9.19 1.31 5 1.00
v2 15 1.25 7.07 1.01 7 1.40
v3 25 2.08 14.14 2.02 10 2.00
v4 18 1.50 8.49 1.21 8 1.60
v5 29 2.42 16.26 2.32 15 3.00
57CCN-BA BAG example
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 0 1 0
v4 0 1 0
v5 0 1 1
Allocation (aij)
12k 7k 5k
v5 0 1 1
Profit of channel assigned
Channel Class Node 12k 12k 7k 7k 5k 5k
Channel Class Node profit Profit density profit Profit density profit Profit density
v1 16 1.33 9.19 1.31 5 1.00
v2 15 1.25 7.07 1.01 7 1.40
v3 25 2.08 14.14 2.02 10 2.00
v4 18 1.50 8.49 1.21 8 1.60
v5 29 2.42 16.26 2.32 15 3.00
58CCN-BA BAG example
- Remove v2,v4,v5 from candidate node
BSC/RNC
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 0 1 0
v4 0 1 0
v5 0 1 1
Allocation (aij)
c118
v1
c24
c323
v2
v3
c413
c58
v4
v5
Profit of channel assigned
Channel Class Node 12k 12k 7k 7k 5k 5k
Channel Class Node profit Profit density profit Profit density profit Profit density
v1 16 1.33 9.19 1.31 5 1.00
v2 15 1.25 7.07 1.01 7 1.40
v3 25 2.08 14.14 2.02 10 2.00
v4 18 1.50 8.49 1.21 8 1.60
v5 29 2.42 16.26 2.32 10.61 2.12
59CCN-BA BAG example
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 1 1 0
v4 0 1 0
v5 0 1 1
Allocation (aij)
12k 7k 5k
v3 1 1 0
Profit of channel assigned
Channel Class Node 12k 12k 7k 7k 5k 5k
Channel Class Node profit Profit density profit Profit density profit Profit density
v1 16 1.33 9.19 1.31 5 1.00
v2 15 1.25 7.07 1.01 7 1.40
v3 25 2.08 14.14 2.02 10 2.00
v4 18 1.50 8.49 1.21 8 1.60
v5 29 2.42 16.26 2.32 10.61 2.12
60CCN-BA BAG example
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 1 1 1
v4 0 1 0
v5 0 1 1
Allocation (aij)
12k 7k 5k
v3 1 1 1
Profit of channel assigned
Channel Class Node 12k 12k 7k 7k 5k 5k
Channel Class Node profit Profit density profit Profit density profit Profit density
v1 16 1.33 9.19 1.31 5 1.00
v2 15 1.25 7.07 1.01 7 1.40
v3 17.68 1.47 14.14 2.02 10 2.00
v4 18 1.50 8.49 1.21 8 1.60
v5 29 2.42 16.26 2.32 10.61 2.12
61CCN-BA BAG example
- Remove v1,v3 from candidate node
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 1 1 1
v4 0 1 0
v5 0 1 1
Allocation (aij)
Profit of channel assigned
Channel Class Node 12k 12k 7k 7k 5k 5k
Channel Class Node profit Profit density profit Profit density profit Profit density
v1 16 1.33 9.19 1.31 5 1.00
v2 15 1.25 7.07 1.01 7 1.40
v3 17.68 1.47 14.14 2.02 7.07 1.41
v4 18 1.50 8.49 1.21 8 1.60
v5 29 2.42 16.26 2.32 10.61 2.12
62CCN-BA BAG example
- No more candidate node ? Finished
Allocation (aij)
channel class vi 12k 7k 5k
v1 0 1 0
v2 0 1 0
v3 1 1 1
v4 0 1 0
v5 0 1 1
Total profit basic needs profit channel
assigned by profit density (1310201223
)152510 128
63Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
64????
- ??????BAG??????
- ??????????????,????BAG??????????????
- ???
- ??????
- ???
- ??????
- ???
- ? ????
- ???????6?7?8?9?10?100
- ???10?????
65BAG?????????
66????
- ????????????,??????????,???????????(Normalization)
????(Deviations from optimum solution,??Deviation
) - 610????
- ?? (???-????) / (???-???)
- ???????????????Total Profit
- ???????????????Total Profit
- ????BAG?????Total Profit
- 100????
- ??? (????-????) / ( max(????,????) -????)
- ????10??????????Total Profit
- ????10??????????Total Profit
- ????BAG?????Total Profit
67???????
- Link Capacity(ci)32100
- Initial Profit(fij)30100
- Attenuation Function(g(k)) ?
- Channel Class(bj)1632
- Forwarding Tree Size6?7?8?9?10?100
- ??????
- ???Intel(R) Core(TM)2 Duo CPU E7400 _at_ 2.80GHz ??
- ???2.00 GB
- ????32??Microsoft Windows XP SP3
?
68????
- ???
- 50?????
- ????(Deviation)??010.68
- ???28?
- ?????????
- ?????2.50???4.46
- ?????98.21???96.71
69????
6 nodes
7 nodes
8 nodes
9 nodes
10 nodes
70????
- ???
- 50?????
- ????(Deviation)??014.03
- ???19?
- ?????????
- ????2.164.76
- ?????97.58???96.32
71????
6 nodes
7 nodes
8 nodes
9 nodes
10 nodes
72????
- ???
- 10?????
- BAG???????????
- ????????21.12 41.30,?????32.71
73????
Amount of base station Experiment 1 Experiment 2 Average Deviation
6 2.50 3.14 2.82
7 2.58 3.87 3.22
8 2.95 2.16 2.55
9 3.55 4.18 3.87
10 4.46 4.76 4.61
Average Deviation 3.21 3.62 3.41
- BAG???????
- ???,????????3.21
- ???,????????3.62
- ??????????
- BAG??????????????,?????6?????2.82???10?????4.61
- ?????(???)?????,?8?????,????????12?????,?10?????,?
???7???? - BAG??????,?????????,????????????,????????
Amount of base station Experiment 1 Experiment 2 Total Number of Optimum Solution
6 6 3 9
7 7 4 11
8 6 6 12
9 5 3 8
10 4 3 7
Total Number of Optimum Solution 28 19 47
74Outline
- Introduction
- Communication systems crash by natural disasters
- Requirements analysis of contingency
communication system - Related work
- Common contingency communication systems
- Contingency Cellular Network (CCN)
- Bandwidth allocation for CCN
- Concept
- Problem definition
- Model
- Algorithm design
- Evaluation
- Summary future work
75Summary
- ?????????????????,?????????????????????????????,??
????????????,?????????????(Contingency Cellular
Network,CCN) - ????????????,?CCN???????????,???????????????,?????
??,?????? - ???????????,CCN?????????,????????????????
- ??????????????????????????,????CCN??????????????,?
??????????,????(??????)??????CCN?????? - ??????????,???????????????????????
76Future Work
- CCN???????????
- ??????,????????????
- ?????????????????????
- ????????????
- Priority-based????
77Q A
77