VIRTUAL CACHE & VIRTUAL WAN ACCELERATOR FUNCTION PLACEMENT FOR COST-EFFECTIVE CONTENT DELIVERY SERVICES

International Journal of Computer Networks & Communications (IJCNC) Vol.12, No.2, March 2020
DOI: 10.5121/ijcnc.2020.12204 69
VIRTUAL CACHE & VIRTUAL WAN ACCELERATOR
FUNCTION PLACEMENT FOR COST-EFFECTIVE
CONTENT DELIVERY SERVICES
Shin-ichi Kuribayashi
Department of Computer and Information Science, Seikei University, Japan
ABSTRACT
The algorithm to determine the place where network functions are located and how much capacities of
network function flexibly are required is essential for economical NFV (Network Functions Virtualization)-
based network design. The authors proposed a placement algorithm of virtual routing function and virtual
firewall function in the NFV-based network for minimizing the total network cost and developed the
effective allocation guidelines for these virtual functions.
This paper proposes an NFV-based virtual cache placement algorithm for cost-effective content delivery
service such as video streaming, which judges the optimal placement of the cache per content, not on a
virtual machine (VM) like the conventional CDN (virtual CDN). Moreover, the content is dynamically
cached at the time of first content delivery like ICN (Information-Centric Networking) without placing the
cache in advance like CDN .Our evaluation results revealed that the proposed algorithm could reduce total
network costs by about 15% compared with CDN .Even if the content cache is deployed economically,
performance will degrade if the latency between the content cache and user terminals is long. In order to
prevent such a case, this paper also propose a cost-effective placement method of NFV-based WAN
accelerator function.
KEYWORDS
NFV, resource allocation, virtual cache, virtual WAN accelerator, content delivery services, minimum
network cost
1.INTRODUCTION
In an NFV-based network [1]-[3], a variety of network functions is implemented in software on
general-purpose servers. This makes it possible to select the capacity and location of each
function without any physical constraints. It is essential to optimize the location and capacity of
each network function for economical NFV-based network design. A new placement method
should be required as the existing placement method that has limitations on capacity and
placement location cannot be used as it is. The authors proposed a virtual function allocation
algorithm that minimizes network cost, focusing on two important network functions: routing and
firewall, and developed the effective functional allocation guidelines [4],[5]. The authors also
clarified the influence of QoS conditions such as the maximum allowable network delay on its
placement guidelines [6].

70
The main objective of References [4]-[6] and of this paper is not to solve the VNE (Virtual
Network Embedding) problem, which tries to allocate the virtual network function efficiently as a
short-term perspective [7]-[8]. The network design guidelines show the trend for the capacity
required for each network function and the optimal location of each function and provide network
operators with critical information needed in designing and building an NFV-based network. It is
very important to use quantitative evaluation results in identifying practical network design
guidelines, even when rough design policy can be presumed in advance. For example, whether
the total network cost can be reduced by 2% or by 20% can significantly affect the business
decision [6].
A form in which CDN functions such as video streaming is virtually provided as vCDN (virtual
CDN) has been studied in [9]-[15]. The vCDN is virtually realized as a CDN controller, a CDN
cache node or a cache server. In vCDN for each content provider, it is being examined mainly in
which area the virtual machine (VM) realizing the cache server is optimally deployed. Also, it is
assumed that the content cache is placed in the virtual cache server in advance.
This paper explores the approach to reduce the network cost by maximizing the features of NFV,
considering the optimal placement of caches not on a VM like vCDN but a content (or group of
multiple contents) basis. In other words, we consider the possibility of placing the content cache
more economically in a place closer to the user. Moreover, in order to allow the flexible and
economical allocation, the content is dynamically cached at the first time of content delivery like
ICN (Information-Centric Networking) [16],[17] without placing the cache preliminarily like
vCDN. When it is cached, it is stored in a virtual cache server shared with other services and
other venders beforehand. Even if the content cache is deployed economically, performance will
degrade if the latency between the content cache and user terminals is long. In order to prevent
such a case, this paper also proposes a cost-effective placement algorithm for the NFV-based
WAN accelerator function [18]-[22].
The rest of this paper is organized as follows. Section 2 introduces the basic concept of virtual
cache placement and proposes a virtual cache placement algorithm that minimizes the network
cost. Section 3 evaluates the proposed cache placement algorithm and shows the effectiveness of
the proposed algorithm through simulation evaluations. The effectiveness of virtual cache
placement against DDoS [23] attacks is also evaluated. Section 4 proposes a placement algorithm
of the NFV-based virtual WAN accelerator, which prevents the degradation in performance when
the latency between the content cache and user terminals is long. Section 5 provides the
conclusions. This paper is an extension of the study in Reference [23].
2. VIRTUAL CACHE PLACEMENT ALGORITHM FOR CONTENT DELIVERY
SERVICES
2.1 Basic Concept Of Virtual Cache Placement
1) To simplify the processing, content caching is judged for each content (or group of multiple
contents) not on a virtual machine (VM) like vCDN.
2) The virtual cache placement is carried out on a per-area basis, without considering a plurality
of areas together. An area is a unit for allocating a cache and corresponds to a city or edge-region
in vCDN.

71
3) It is assumed that a virtual cache server shared with other services and other vendors is
deployed in each area and a content cache (replica) is stored in the virtual cache server.
4) The content caching is predetermined based on demand forecast including content popularity
etc., and the content is dynamically cached at the first time of content delivery like ICN
(Information-Centric Networking) [16],[17] without placing the cache preliminarily like vCDN.
5) The dynamic adaptive streaming that changes distribution speed according to the situation is
not assumed in this paper.
Figure 1 shows the main differences between the proposed approach and the vCDN approach, and
an example of a content delivery image, based on the above description. Arrows indicate each
content delivery. Each content cache is placed in each area in the proposed approach although
virtual machine (VM) in which multiple contents are cached preliminarily in CDN.
If it is cached in advance like vCDN, it will be wasted if the prediction goes wrong. For this
reason, it is not arranged in advance but is cached at the time of first content distribution, and
subsequent distribution is performed from the cache. In figure 1, the content requested for the
first time from a terminal in Area 1 (first delivery request) is delivered from the original server in
Area 3. The content is cached in the virtual cache server that is connected to a router on the
transmission route within Area 1. When another terminal in Area 1 requests the same content
(Second and subsequent delivery requests), the content is delivered from the virtual cache server
in Area 1.
Original Server
Original
Content
[First delivery request]
First delivery
request
Area 1
Area 1
：Routing function
Cache
content
Figure 1. Main difference between the proposed approach and vCDN approach, and content delivery
image of the proposed approach
・・・
・・・
Area 2
Area 2
Area 3
Area 3
Original
Content
Content
Cache
(replica)
[Second and subsequent delivery request]
Second delivery
request
Terminals
k-th delivery
request
First delivery
request
Second delivery
request
k-th delivery
request
Terminals in Area 1
Virtual cache server
A C B A B C A B
Area#1 Area#2 Area#3 Area#4
：VM（Virtual Cache Server)
A, B, C：CP(Content Provider）
Terminals
：PM
Terminals Terminals Terminals
α
Area#1
Terminals
γ
Area#2
Terminals
β α
Area#3
Terminals
β γ α
Area#4
Terminals
β
：VM（Virtual Cache Server)
：Content Cache α、β、γ：Content ID
vCDN approach Proposed approach

72
2.2 PROPOSED CONTENT CACHE PLACEMENT ALGORITHM
The network costs are calculated in the following three Modes based on the demand forecast, and
the mode with the lowest cost is adopted:
- Mode 1: Content is cached in the area and the requested content is delivered from the content
cache in the area.
- Mode 2: No virtual content cache is placed in the area, and
Mode 2-1: The requested content is delivered from the original server
Mode 2-2: The requested content is delivered from the content cache stored in another
area
Figure 2 shows a network cost comparison between Mode 1 and Mode 2-1. The original server is
in Area 3. A terminal in Area 1 requests a content delivery. As explained in Section 2.1, the
network cost for the first delivery of content is the same for both modes. Therefore, Figure 2
shows the comparison of costs for only the subsequent delivery request. If the following equation
is satisfied, Mode 1 (placing content cache in Area 1) will be more cost-effective.
(ni-1)*｛2*M*(α+β)＞S*H*δ (1)
where ni is the number of terminals requesting the same content in Area i. α is the routing function
cost per packet, β the circuit bandwidth cost per packet per 100 km. δ is the cache cost per MB
per second. M is the number of packets required for the delivery of content. S is the memory
size[MB] of content cache and H is the cache holding time. The circuit bandwidth cost of the
virtual cache server is not included in the above equation (1) as it is also required for the original
server.
There are the following three methods to determine the order of the areas to be subjected to the
cache placement judgment:
-Method a: Select an area with the longest circuit distance from the original server.
-Method b: Select an area with the shortest circuit distance from the original server.
-Method c: Select an area with the maximum ni
Based on the existing evaluation results in References [4]-[6], it is proposed to implement as
follows:
<When ni is uniform in all areas> Since the possibility that a farther area from the original server
is more likely to place content cache is high, Method a is adopted.
<When niis non-uniform in all areas> Method c is adopted, as there is a high possibility of placing
content cache for areas with more terminals requesting the same content.

73
2.3 Management of Content Cache Judgement in The First Delivery Request
There are the following three methods to judge content cache in the first delivery request:
-Method x: A server in each area manages a table that indicates the placement of a cache for each
content.
-Method y: The original server manages a table that indicates the placement of a cache for each
content in each area.
Since it is complicated to manage such a table in each area for Method x, this paper adopts
Method y. When caching is advantageous for the content requested, the original server instructs
the virtual cache server in the relevant area to store the requested content before it delivers the
content. It starts delivering the content after it has received confirmation from the corresponding
virtual cache server. Then, the virtual cache server in the relevant area caches the content being
delivered.
3. EVALUATION OF THE PROPOSED VIRTUAL CACHE PLACEMENT
ALGORITHM
3.1 Evaluation Conditions
1) Simulation program
If the number of areas is 10, the number of function placement forms is 210
and there are multiple
routes for each communication flow per each placement form. We have developed a simulation
program in the C language that executes the proposed algorithm proposed in Section 2 and adopts
a heuristic approach.
<Mode 2-1>
Increase / decrease in
cost when compared
with Mode 2-1
+S*H*δ -M *β -M *α
S*H*δ
100km 100km
M*βM*α
M*α
M*β
100km 100km
-M *α-M *β
Figure 2. Cost comparative example of Mode 1 and Mode 2-1
<Mode 1>
Original Server
Original
Content
：Routing function
Original
Content
Area 1 Area 2 Area 3
Terminal
Content
Cache
Area 1 Area 2 Area 3Terminal

74
The virtual cache placement is performed as follows with the simulation program:
Step 1: Select an area according to Method a or Method c proposed in Section 2. Move to
step2.
Step2: Compare the costs of Mode 1 and Mode 2 proposed in Section 2, and place a virtual
cache in the corresponding area if the former is small. Return to step 1 until the
judgment of virtual cache placement for all areas is completed.
2) Network configuration
The ladder-shaped model illustrated in Figure 3 which simulates the shape of Japan, is used as in
References [4]-[6].
3) Request generation model
Figure 4 illustrates a generation model of content delivery requests. The horizontal axis indicates
time and the vertical axis video transmission speed, V. In this model, terminals in Area i request
the same content in sequence. P is video viewing time, and Hi the time from the start of viewing
on the i-th terminal to the start of viewing on the i+1-th terminal. It is assumed here that V and P
are constant here.
4) Network cost parameters
Figure 3. Ladder-shaped network for evaluation
which simulates the shape of Japan
400km 400km 400km 400km
Area #1 Area #3 Area #5 Area #7 Area #9
300km 300km300km300km300km
Area #2 Area #4 Area #6 Area #8 Area #10
Original Server
Original
Content

75
Two cost ratios, ZC, which is a ratio of the routing function cost to the circuit bandwidth cost, and
Y, which is a ratio of the content cache cost to the circuit bandwidth cost, significantly affect
content cache placement, are defined as:
ZC =α/β (2)
Y =δ/β (3)
The fixed costs for installing content cache, routing functions, and circuit bandwidths are not
considered.
5) Effect of content caching against DDoS attacks
Caching in a CDN has an effect of dispersing DDoS attacks [22]. As with the virtual firewall
function proposed in Reference [5], restricting invalid traffic near the transmission source can
prevent wasteful use of network resources. The cost reduction is roughly calculated in such a way
that the virtual cache placement reduces the circuit bandwidth cost and relay processing cost by a
factor of Cr (restriction coefficient; its value is equal to or greater than 1.0) although it is not a
detailed evaluation.
3.2 Evaluation Results and Discussions
Evaluation results are shown in Figures 5 to 9. Except for Figure 6, a uniform model in which ni
is the same in all areas is supposed. Figure 6 supposes a non-uniform model in which niin Areas
1 and 9 are R times (peak coefficient) greater than those in other areas. The vertical axis in
Figures 5 to 9 shows a normalized network cost which is the actual network cost divided by the
network cost in the case where requested contents are not cached in any area and delivered all
from the original server.
Figure 5 shows the impacts of ni and Y on the network cost. It shows the cost breakdown for a
case where ni is 20 and indicates how the value of Y changes the locations of the content cache.
Figures 5 also shows the network cost of ‘minimum cost solution’. All possible content cache
placement patterns are checked and the pattern with the minimum cost is selected as ‘minimum
cost solution’. Figure 6 shows the impact of ni for the non-uniform model.Figure7 shows the
comparison between vCDN and the proposed method and how the value of ni changes the
locations of the content cache. Figures 8 and 9 respectively show the effect of the video viewing
time, P, and the impact of the restriction coefficient, Cr, on the network cost. Figure 9 also shows
how the value of Cr changes the locations of cache functions.
The following points are clear from these Figures:
1) Placing content caches appropriately can reduce network cost by more than 30%, compared to
delivering all from the original server. The larger the number of terminals requesting the same
content in Area i, ni, and the lower the cache cost relative to the circuit bandwidth cost (i.e., the
smaller the value of Y), the smaller the network cost.

76
<Reason> In a case where Y = 6 in Figure 5, for example, the placement of content cache reduces
the network cost by about 30%. The video delivery to the first requesting terminal requires access
to the original server and thus incurs network cost, but this cost is shared by the subsequent (ni-1)
terminals. So, the larger ni is, the lower the normalized network cost. In a case where Y=10 in
Figure 5, the content caches are placed when ni is more than 20 and the network cost is reduced
by about 20%.
The lower the value of Y, the lower the relative cache cost, and the more advantageous it is to
place content caches. Placing a virtual cache function can reduce the cost of the circuit bandwidth
to the original server and the routing function cost.
2) The result 1) above is effective even if ni is uniform or non-uniform in all areas.
<Reason> As shown in Figure 6, the larger the peak coefficient, R, the more areas with a large
number of terminals place a content cache. These content caches are used when contents are
delivered to terminals in adjacent areas that have a smaller number of terminals.
3) The proposed algorithm could reduce network cost by as much as 95% of the cost reduction of
‘minimum cost solution’. As a result, the effective cache placement could be achieved even with
an algorithm that easily determines whether or not the content can be cached for each content and
each area. Note that the relative network cost does not vary even if the video transmission speed,
V, changes.
4) The longer the video viewing time, P, the higher the cache costs and thus the network cost. The
longer P has the same effect as the larger Y. Note that the relative network cost does not vary even
if the video transmission speed, V, changes.
5) The proposed algorithm could reduce network cost by about 15% compared with vCD. This is
because content caches could be placed in a location closer to the user more precisely than vCDN.
6) Impact of network topology on the proposed virtual cache placement
The above evaluations are based on a ladder-shaped network model with 10 areas (Figure 3).
Even if the number of areas is increased to 100, for example, or a star-shaped or a loop-shaped
model is used, the proposed cache placement algorithm can be applied basically. Therefore, the
main trends discussed above and the proposed network design guidelines can be also applicable
to such cases. However, additional evaluations are necessary to decide where and how many
virtual caches should be placed.
7) The greater the DDoS countermeasure effect (i.e., the greater the restriction coefficient, Cr),
the lower the network cost.
<Reason> This is due to an increased reduction in wasteful use of bandwidth and routing
processing and increases number of areas where content caches are placed. More detailed
evaluation is required in the future.

77
Figure 5. Impact of ni and Y on total network cost
(Uniform model)
【Cache deployment location】（ni=20）
【Cost details】（ni=20）
Totalnetworkcost
(Normalizedvalue)
A:Routing cost, B:Bandwidth cost, C:Cache cost
Total
Y=12 Y=6 Y=3
A
A C
B
A
CB
B
Total
Total
Value of ni
Totalnetworkcost
(Normalizedvalue)
Y=10
Y=3
Y=6
Minimum
cost case

78
Y=6
Peak coefficient R
Area 1, 9 requested number (ni) is R times of other area
【Cost details】（R=5）
Figure 6. Impact of ni on total network cost
(Non-uniform model)
Totalnetworkcost
(Normalizedvalue)
A:Routing cost, B:Bandwidth cost, C:Cache cost
A C
B
Total
A
B
Total
Configuration 1 only Proposed method
Totalnetworkcost
(Normalizedvalue)
Totalnetworkcost
(Normalizedvalue)
Value of ni
vCDN
Proposed algorithm
Y=2
Figure 7. Comparison between vCDN and proposed algorithm
【Cost details】（Y=2, ni=50）
Totalnetworkcost
(Normalizedvalue)
Virtualized
CDN
Proposed
Method
Total
Total
<vCDN>
<Proposed algorithm>

79
4. VIRTUAL WAN ACCELERATOR PLACEMENT ALGORITHM FOR CONTENT
DELIVERY SERVICES
Even if the content cache is deployed economically according to the proposed algorithm,
performance will degrade if the latency between the content cache and user terminals is long. In
order to prevent such a case, this section proposes a cost-effective placement algorithm for the
NFV-based WAN accelerator function.
Totalnetworkcost
(Normalizedvalue)
Figure 9. Impact of Cr on total network cost
(Uniform model)
Totalnetworkcost
(Normalizedvalue)
Value of Cr
Totalnetworkcost
(Normalizedvalue)
Value of P [min]
Figure 8. Impact of P on total network cost
(Uniform model)

80
The WAN-accelerator establishes three TCP connections between the user and the server with
content cache [20].
-The client-side WAN-accelerator completes the TCP connection setup with the client as if it
were the server.
-The WAN-accelerators complete the TCP connection between each other. TCP window size of
this connection will be set large, to cope with the long latency in WAN.
-The server-side WAN-accelerator completes the TCP connection with the server as if it were the
client.
After the three TCP connections are established, the data sent between the client and server for
this specific connection is optimized and carried on its TCP connection between the WAN-
accelerator
<Proposed placement algorithm of WAN accelerator function>
The minimum number of relay areas that cannot achieve the required throughput without
deploying the WAN accelerator function is evaluated as N. For example, the use of the WAN
accelerator function is essential if the content cache is not deployed except in the area when N = 0
and between adjacent areas when N = 1.
The system cost of placing NFV-based WAN accelerator function to each node is compared with
that of additionally placing content cache near the terminal to reduce the latency, and if the former
is cheaper, WAN accelerator functions will be deployed. This judgment is performed per area
with mathematical formulas. The placement configurations are shown in Figure 10 when the
network configuration used in the evaluation of Section 2 (Figure 3) is assumed. There is no need
to place the WAN acceleration function when N is 3 or more in this network configuration.
It can be assumed that the form of deploying the WAN accelerator function is advantageous in
cost under the following conditions:
- The cost of the WAN accelerator function is relatively low.

81
- The Server fixed cost is relatively high.
- The number of terminals ni in the area is small.
- N is small.
:Virtual WAN accelerator function
<Without WAN accelerator>
<With WAN accelerator>
:Content Cache function
<Without WAN accelerator>
<With WAN accelerator>
N=0
N=1
Figure 10. Evaluation model for deployment of
virtual WAN accelerator
Content cache deployed
according to the content cache
placement algorithm in Sec. 2.2
Additionally deploying content near the
terminal to reduce the latency
N=2

82
5. CONCLUSIONS
This paper has proposed the virtual cache placement algorithm which judges the optimal
placement of the cache not on a virtual machine (VM) like vCDN, but a content (or group of
multiple contents) basis. Moreover, the content is dynamically cached at the time of first content
delivery without placing the cache preliminary like vCDN. The effectiveness of the proposed
algorithm has been identified, based on the simulation evaluation results. Next, this paper has
proposed a cost-effective placement algorithm of NFV-based virtual WAN accelerator, which
prevents the degradation in performance when the latency between the content cache and user
terminals is long exceeded. The effectiveness of virtual cache placement against DDoS attacks
has been also evaluated.
It will be necessary to evaluate the algorithm with the original server placed in different areas,
network models of different topologies, and different demand generation models.
ACKNOWLEDGMENT
We would like to thank Mr. Kakeru SHIBUYA for his help with the evaluation.
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84
AUTHOR
Shin-ichi Kuribayashi received the B.E., M.E., and D.E. degrees from Tohoku
University, Japan, in 1978, 1980, and 1988 respectively. He joined NTT Electrical
Communications Labs in 1980. He has been engaged in the design and development of
DDX and ISDN packet switching, ATM, PHS, and IMT 2000 and IP-VPN systems. He
researched distributed communication systems at Stanford University from December
1988 through December 1989. He participated in international standardization on ATM
signaling and IMT2000 signaling protocols at ITU-T SG11 from 1990 through 2000.
Since April 2004, he has been a Professor in the Department of Computer and Information Science, Faculty
of Science and Technology, Seikei University. His research interests include resource management for NFV
and SDN-based networks, QoS control, traffic control for cloud computing environments, IoT traffic
management and green network. He is a member of IEEE and IEICE.

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