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      <title-group>
        <article-title>Using Bayesian Belief Networks for Modeling of Communication Service Provider Businesses</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Pekka Kekolahti</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Communications and Networking Aalto University Espoo</institution>
          ,
          <country country="FI">Finland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p />
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>This paper analyses the usage of Bayesian Belief</title>
      <p>Networks (BBNs) for Communication Service
Provider (CSP) business modeling and
simulation. Large and complex BBNs have been
created to describe the causal relationships in
CSP business domains. As a part of the study, a
novel method to collect knowledge from a large
number of independent experts living in different
countries has been introduced. A BBN from each
expert result was created (referred to here as a
sub-BBN). Business model ontology was
utilized to combine sub-BBNs together into a
comprehensive model. The resulting BBN
represents typical business circumstances in the
European telecommunications domain. The
experts participating in the study represented
expertise in different business related categories
such as technology, processes, customer
experience, regulation, organization and
products. Experts were asked to list causality
triplets for business categories including causal
connection strengths, in order to assess the belief
part as well. The triplets were manually
converted to a graphical causal map and
conditional probability tables constructed. The
benefit of the method is the capability to
introduce rapidly a high number of variables and
causal relationships. A challenge is that experts
use different terms with the same underlying
meaning.</p>
      <sec id="sec-1-1">
        <title>INTRODUCTION</title>
        <p>The Communication Service Provider (CSP) business is
facing major restructuring due to several disruptive
factors. These include new business players like Google
and Facebook, technologies like the Internet, cloud
computing and smart-phones, as well as a growing
number and size of applications. It is clear that the CSP
value chain structure has to be re-evaluated. To respond to
these changes and customer requirements, and to adapt
successfully to new business challenges, CSP top
management needs reliable methods to model and to
analyze the essential factors driving the change, and to
understand the impact of these factors on their current and
future business. In addition, trusted and unified
information is needed for strategy planning processes and
day-to-day management. Today the strategic decisions are
often made by a small group and they are based on
insufficient knowledge due to lack of data or expert
knowledge and under time constraints.</p>
        <p>Bayesian Belief Networks (BBNs), also called belief
networks, Bayes Nets and causal probabilistic networks
are increasingly popular methods for modeling uncertain
and complex domains (Uusitalo, 2007). In this paper we
examine how the BBN methodology can be utilized to
help CSP management in their day-to-day work, strategy
planning and to better control the business.</p>
        <p>
          A BBN is a probabilistic model which represents a set of
random variables and their conditional dependencies via a
directed acyclic graph. Two basic approaches are used to
construct Bayes networks: data-based and
knowledgebased approaches. Data-based methods use conditional
independence semantics of Bayes networks to infer
models from data whereas the knowledge-based approach
utilizes causal knowledge from domain experts to
construct BBNs. The benefits of BBNs in data analysis
are, according
          <xref ref-type="bibr" rid="ref1">to Nadkarni, 2004</xref>
          ; Uusitalo, 2007; Jensen,
2001; Lee, 2009:
1) Possibility to combine prior knowledge and data,
2) Managing situations where some data is missing,
        </p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>3) Modeling of causal relationships,</title>
      <p>4) Structural learning possibilities,
5) Support for different kind of analyses, such as
making inferences about probabilities of
different causes given the consequences and
6) Fast response to queries from the model.</p>
      <p>
        Known challenges in BBNs are
1) Difficulty to obtain prior knowledge in a form
that can be converted into probability
distributions. However, for example a weighted
sum algorithm utilizing compatible parent
configurations has been developed to ease the
calculation of conditional probability tables in
complex environmen
        <xref ref-type="bibr" rid="ref1">ts (Das 2004</xref>
        ).
2) Handling of continuous variables only in a
limited manner (Uusitalo 2007) and
3) Lack of support of feedback loops due to acyclic
nature of a BBN. Feedback loops are useful
when analyzing phenomena like new disruptive
CSP technologies as a function of time (Casey et
al. 2010).
      </p>
      <p>
        According to our knowledge, BBNs have in the past not
been used to model the CSP industry in a large scale. The
utilization of causality itself is wide spread in business
management due to widely used performance measuring
and management tools such as the Balanced Scorecard
(BSC) and Tableau de Board. 66% of enterprises used
BSC in 2007
        <xref ref-type="bibr" rid="ref3">(Rigby, 2007)</xref>
        . Both the BSC and the
Tableau de Board rely on causal assumptions
        <xref ref-type="bibr" rid="ref2">(Kasperskaya, 2006)</xref>
        . Causal mapping tools like fishbone
diagrams, cause-and effect diagrams, impact wheels, issue
trees, strategy maps, and risk-assessment mapping are
tools to help managers to understand and improve
complex systems in the areas of quality, strategy, and
information systems. (Scavarda et al., 2006). The
causalities in the performance measuring and strategy
creation have been normally deduced by using human
interaction techniques such as brainstorming or
interviews. These methods rely on person-to-person or
group interaction in eliciting the knowledge and are
fraught with biases associated with inter-person
dynamics. Methods to elicit a non-biased knowledge in
large scale have been developed (Nadkarni e
        <xref ref-type="bibr" rid="ref1">t al., 2004</xref>
        ;
Scavarda et al., 2006). Scavarda introduces a formal
Collective Causal Mapping Methodology (CCMM),
which collects information asynchronously from an expert
group which is dispersed and diverse. Person-to-person
interaction possibility is eliminated and a large amount of
experts can be utilized in a controlled way. Nadkarni
introduced a procedure for constructing BBNs from
domain knowledge experts, where through four steps of a
text analysis process the first round interview results can
be converted into causal relationships. Once the causal
map is available, the states of the variables can be defined
and validated with experts through subsequent interviews
and finally the probability assessment done either
manually or by using noisy-OR method or weighted sum
algorithm utilizing compatible paren
        <xref ref-type="bibr" rid="ref1">t configurations
(DAS, 2004</xref>
        ) to reduce the number of probability
assessments.
      </p>
      <p>
        This study focuses on BBNs as a methodology for
modeling and analysis of CSP business. As part of the
study, both multiple sub-BBNs (one per expert) and a
comprehensive CSP BBN combining sub-BBNs have
been created. The experts were asked to list and
categorize the variables they considered to have an effect
on CSP business and also how strong this effect would be.
The used seven categories are the same as in typical
Balanced Scorecards and business models
        <xref ref-type="bibr" rid="ref2">(Kasperskaya,
2006; Osterwalder, 2002 and 2005; Faber, 2003)</xref>
        namely
financial variables, customer-related variables, product
and service innovations, staff and internal processes,
technology and architecture, strategy and competition,
local and global economy and legislation.
      </p>
      <p>The following types of information can be derived from
the comprehensive model and sub models:
 Financial variables: Effect of variables like
customer experience on revenue, OPEX
(operating expense) and CAPEX (capital
expenditure).
 Customers: The causes and consequences related
to customer satisfaction.
 R&amp;D organization: How do organization agility,
managerial structures, salary and incentives
affect on efficiency, productivity, OPEX and
customer experience.
 Technologies: How do new technologies like
rapid growth of smart-phones affect on CAPEX,
revenue and data traffic.</p>
      <p>BBNs that include all the seven categories are very
complex. The number of variables and arcs, and
especially the size of conditional probability tables play
great effect on the practical usability of the BBN for CSB
business analysis purposes. Optimization between
practical usability and model granularity and accuracy is
examined through creating the comprehensive BBN from
sub-BBNs.</p>
      <p>The remainder of this article is structured as follows:
Chapter 2 introduces a novel method for the collection of
the expert knowledge, and describes how the expert
knowledge is converted into BBNs.</p>
      <p>Chapter 3 describes the constructed sub-BBNs and
comprehensive BBN and elaborates on key variables and
their analysis states. Also some result examples are given.
Chapter 4 discusses challenges in eliciting and conversion
of prior knowledge into BBN and how well these models
truly represent different aspects of CSP businesses. Also
future research topics for this line of study are identified.</p>
      <sec id="sec-2-1">
        <title>METHODS</title>
        <sec id="sec-2-1-1">
          <title>2.1 THE KNOWLEDGE COLLECTION METHOD</title>
          <p>Five targets were set for the developed method: 1) to
combine different expert knowledge from various
business categories with the help of a broad expert team
and 2) give the experts freedom to focus on those
causalities they feel, by their expertise, to be important in
order to make sure that new innovative
causeconsequence –relationships would arise, 3) to discover as
much as possible variable candidates from CSP business
domains, 4) to ensure that the experts acted as individuals
and no group –thinking possibility existed and 5) to
facilitate also disruptive proposals. Thus a pre-defined
variable list was not introduced but instead experts had
freedom to also name the variables. The financial
category was seen more a deterministic than a
probabilistic cause- consequences structure and thus it
was decided that only a few experts need to be dedicated
to financial topics.</p>
          <p>An email was sent to 100 expert candidates working in
12, mostly European countries, for CSPs, universities,
CSP infrastructure vendors and software and consulting
companies which offer services to CSPs. The email
included extensive background information about the
study targets, introductions of BBN and causality,
example variables and an excel template based on the
seven CSP business categories. With the help of the
template, experts were asked to list variables they
considered to have effect on CSP businesses and to
categorize the variables to the correct category. Basically
experts were asked to list causality triplets of “variable X
has some cause on variable Y, which has some effect on
variable Z”, see table 1. It was supposed, that with this
method, an expert can easily just start to write the triplets
without need to first have a big picture in mind. In
addition, experts were asked to estimate the strength of
effect by using numbers:
Strong effect=3,
Moderate effect = 2,
Weak effect = 1
These values were used for measuring the expert’s
degree-of-belief value for causal connections. The plan
was to use a simplistic method, where both weight and
belief parts originate from this strength of effect.
Triplets are in fact mini causal maps (see Figure 1) and
constructing of one full BBN required combining these
triplets together. This was done with a BBN tool called
BayesiaLab (www.bayesia.com) by hand. The plan was to
review the achieved model with each expert.
Out of 100 expert candidates, 48 answered with survey
results. The resulting causal models were reviewed with
60% of these 48 experts. The distribution of expertise
was:






</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Product and service innovations 21%</title>
      <p>Technology and architecture 20%
Staff and internal processes 20%
Strategy and competition 19%
Customers-related 11%
Local &amp; global economy and legislation 5%</p>
      <p>Financial 4%
Experts used between 1 and 5 hours for the survey, with
the average being 2,5 hours. More than 2200 variables
and 3400 arcs and 40 sub- BBNs were created from the
survey results. Text analysis (www.textanalyser.net) was
used in order to understand word frequencies used in
variable names. Out from about 5000 used words, 40%
were unique. The top 12 used words for variable names
were “product and service” 80 times, “customers” 60
times, “costs” 56 times, “market” 50 times, “product” 36
times, “brand 28” times, “new” 22 times, “revenue” 20
times, “price”, “marketing”, “personnel”, “network” 16
times.</p>
    </sec>
    <sec id="sec-4">
      <title>From the text analysis it was clear that:</title>
      <p>
</p>
      <p>The process to create a comprehensive BBN is
challenging because of the high number of
different variable names that have closely the
same meaning. The plan was to give full freedom
to experts in order to make sure that there were
innovative approaches, but this study
demonstrated clearly the need of business
dictionary if Bayes Belief Networks are to be
widely used in CSP business modeling and
simulation.</p>
      <p>The competition for customers and tight cost
control in European CSP markets might explain
the top 12 used words, as the majority of experts
were from European countries.</p>
      <sec id="sec-4-1">
        <title>2.3 CONSTRUCTION OF A SUB-BBN</title>
        <p>It was quickly concluded that the creation of a
comprehensive CSP business model directly from triplets
was a too complicated task. It was decided that individual
BBNs, called sub-BBNs would be first created. One
subBNN was created per expert and then the comprehensive
BBN was merged from these sub-BBNs. This approach
has two benefits: 1) it filters out excess of variables with
the same meaning in the sub-BBN review –process with
the expert and 2) innovative sub-BBNs will be
documented individually.</p>
        <p>The creation of a sub-BBN is straightforward: Variables
and their causal connection were created manually from
triplets by using BayesiaLab-tool (www.bayesia.com). A
model review was organized whenever possible with the
expert including the states. Each variable has typically
only two states which describe best the variable in
question like true/false, big/small, high/low,
positive/negative, fast/slow.</p>
      </sec>
      <sec id="sec-4-2">
        <title>2.4 PROBABILITY CALCULATIONS FOR A SUBBBN</title>
        <p>
          The conditional probability tables were calculated with
weighted sum –algorithm utilizing compatible parent
configura
          <xref ref-type="bibr" rid="ref1">tions defined by Das (Das, 2004</xref>
          ). This
algorithm allows for simplification of the calculation
through the utilization of compatible parent
configurations for the evaluations performed by the
expert, limiting the need of individual probability state
combinations needed to be evaluated.
        </p>
        <p>For this study a simplistic method was used in
calculation: The weights 3, 2, 1, -1, -2, -3 were used as
relative weights and the same weight as probability after
converted them in the following way: 3=&gt; 90%, 2=&gt;
75%, 1=&gt; 60%, -3=&gt;10%, -2=&gt;25% and 1=&gt;40%.
In further studies, when the model(s) will be tested in
CSP environment, the dual review method with experts
will be used, namely first a causal model review with
states alone, and after it second review with weights and
confidence values.</p>
      </sec>
      <sec id="sec-4-3">
        <title>2.5 CONSTRUCTING OF COMPREHENSIVE BBN</title>
        <p>The 40 sub-BBNs varied in granularity and coverage
(Figure 2) because experts were not asked to focus solely
on their own expertise topic. Merging the sub-BBNs to a
comprehensive BBN became challenging without a
standard “kernel”. The Osterwalder business model
ontology (Osterwalder, 2002) is used as a standardized
causal kernel (Figure 3) to which sub-BBNs was merged.
The comprehensive BBN can be seen as an onion-like
structure, where the kernel is from the business model
ontology and surrounding layers represent experts’
subBBNs (Figure 4).
Comprehensive BBN with different granularities (number
of variables and arcs) were created to test the tool and
computer environment constraints. When the number of
variables exceeds 100, and at the same time the
relationship between number of arcs divided by number
of variables is on the average greater than three and if a
few of variables have five to ten common effects, the
practical utilization of the comprehensive BBN for
different kind analysis decreases due to slowness of the
PC-environment. The objective of this study is not to
focus on the tool usability nor model complexity topics
but to discover a Bayes Belief Network which can be
utilized in practice, contains all the seven business
categories and which reflects the expert’s common view
about CSP variables effecting on business.</p>
        <p>The merge process was performed manually, with
variables and arcs being combined from each sub-BBN to
the comprehensive network around it’s kernel. If certain
variable and causal connection existed in many
subBBNs, the weights (used in sub-BBNs) were summed
together. Thus, if 10 sub-BBNs have a variable “customer
satisfaction” affecting with weight 3 “customer loyalty”,
then the combined weight is 30. The conditional
probability tables have been calculated with the same
method as described in sub-BBN-case. However, a dual
review method is planned to be used when the model will
be tested in real life.</p>
        <sec id="sec-4-3-1">
          <title>RESULTS</title>
          <p>This chapter presents both sub-BBNs, created based on
individual expert’s survey and the comprehensive BBN,
merged from individual BBNs. Chapter 3.1 gives three
examples of innovative sub-BBNs, which can be used, not
only as an input to the comprehensive BBN but also
independently. Chapter 3.2 presents results on the
comprehensive BBN.</p>
        </sec>
      </sec>
      <sec id="sec-4-4">
        <title>3.1 SUB-BBN EXAMPLES</title>
        <p>Example 1: A generic purpose financial causal map with
32 variables and their relationships (Figure 5). Many of
the variables and causalities are more deterministic than
probabilistic and values are results of mathematical
equations like calculation of EBITDA (Earnings before
Interest, Taxes, Depreciation and Amortization). This
map can be used to analyze the effect of non financial
variables analyzed in other sub-BBNs connected to a
comprehensive set of financial variables in this model.
Example 2: The variable “new business opportunities” is
a parent variable for many new business opportunities for
CSPs in a electric-car ecosystem (Figure 6), The business
opportunities vary from traditional bit-pipe services to
content service opportunities. The model contains
variables such as the effect of regulator actions,
environmental circumstances, renewal energy portion,
new technology, price of electricity, price of a electric car,
number of electric cars and emergence of new business
opportunities. The model offers ways to analyze the
effect of different ecosystem variables on potential new
services. The states and probabilities of key variables in
the model are shown in Figure 6.</p>
        <p>Example 3: The task of Operations Support Systems
(OSS) is to take care of day-to-day infrastructure
management so that the network and related services
work properly with high quality and in an optimized way.
OSS BBN parent variables are the number of today’s
management platforms (rather low), investment capability
of the company (often restricted), current OSS
architecture (often complex), network performance (often
not enough) and harmonization need (typically high).
The target variables in the model are OPEX and
revenue/profitability. The model covers variables like
training needs, technology, head count, perceived quality
seen by customer, customer experience and automation
need (Figure 7). The model, even though it is on a rather
high level, demonstrates the great potential of Bayes
Belief Network as a methodology for business reasoning
and what-if analysis.</p>
        <p>Also other innovative sub-BBNs were created, such as
IPTV model, customer experience &amp; satisfaction model,
regulator causalities model.</p>
      </sec>
      <sec id="sec-4-5">
        <title>3.2 THE COMPREHENSIVE BBN</title>
        <p>The comprehensive Bayesian Belief Network was created
from sub-BBNs as described in chapter 2. The BBN
contains the kernel shown in Figure 3. The model
(Figures 8 and 9) contains the 32 most used variables and
their 93 causal connections. It is remarkable that three
variables are very central in the model: 12 variables have
variable called “Customer experience &amp; satisfaction”, 9
variables “Product portfolio” and 5 variables “Efficiency”
as a common variable. On the other hand there is only one
purely technical variable even though 20% of experts had
technical expertise. The reason for the lack of technical
variables might be the fact that most of the experts were
from Europe and the model represents thus mostly a
mature European mobile and convergent operator’s
environment where customer experience, efficiency and
portfolio play important role. The 32 variables and 93 arcs
in the model were selected as a compromise between
model granularity and usability and based on response
times in analysis.</p>
        <p>A light validation has been done for the model to verify
whether it gives logical results especially because a
simplistic conditional probability calculation method,
where both weights for arcs and probabilities originate
from same strength of effect value given by experts, has
been used. Figure 9 gives an example of the tests: It
shows that when the probability of “Product portfolio”
state “competent” is set to 100% and “Customer
experience and satisfaction” state “high” is also set to
100%, the consequence will be that the revenue will
increase clearly, when it is assumed that product pricing
can be higher, efficiency of internal processes will be
better, innovation capacity will increase, technical assets
are modern and competent staff will be in place. These
validations demonstrated that the model yield logical
results.</p>
        <sec id="sec-4-5-1">
          <title>SUMMARY AND DISCUSSIONS</title>
          <p>An extensive study to model communication service
provider businesses was performed. A novel method was
used to elicit this prior information. Especially the way to
create the so called causal triplets in the survey and to
construct the initial BBN based on the triplets was found
to be a fast, innovative and effective method that can be
used to create different kind of causal maps. All together
40 Bayes Belief Networks were created, each representing
an individual expert’s view. These networks were then
merged to one comprehensive Bayes Belief Network.
Models such as an IPTV model, OSS management model,
customer experience &amp; satisfaction model, regulator
causalities model, the electric car ecosystem, financial
model are examples of innovative sub-models. The
biggest challenge in the knowledge collection was the
excessive freedom in variable naming. Creation and usage
of a dictionary would be, from work amount and quality
points of view, a clear improvement for the eliciting of
prior knowledge and this is highly recommended for
future studies.</p>
          <p>Calculations of conditional probability tables were based
on a weighted sum algorithm utilizing compatible parent
configurations for the states. The process used in this
study was simplified but yielded promising results which
motivate the further testing of the models in a real life
environment. However, a dual review method with
experts is needed in order to achieve more reliable results.
The results showed that the BBN is a potential method for
what-if analysis and predictions in the strategy creation
process but also in daily management and decision tasks.
Future research topics are to enhance and benchmark
some of models in mobile operator environment in
focused use cases as well as synthesis of expert
knowledge with data in order to enhance the dynamicity
of the model.</p>
        </sec>
      </sec>
      <sec id="sec-4-6">
        <title>Acknowledgements</title>
        <p>Colleagues in Department of Communications and
Networking of Aalto University as well as all the nearly
50 experts, who spent hours by documenting their
opinions, deserve a big thank. Special thanks to Gareth
Smith and Matti Aksela, who created the excel and R –
based macros for calculation of conditional probability
tables and finally big thanks to Antti Myllykangas, who
has altruistic supported me in many aspects of this study.</p>
      </sec>
    </sec>
  </body>
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