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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Development of an extended selection algorithm for projects in a project portfolio</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Markus Brandstätter Dr. Julius-Hahnstrasse</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Baden</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Austria markus@brandstaetter.cc</string-name>
        </contrib>
      </contrib-group>
      <pub-date>
        <year>2007</year>
      </pub-date>
      <abstract>
        <p>This paper touches the current state of the art for selection algorithms of projects in a project portfolio and extends the existing approaches by prioritizing projects according to their strategic contribution based on a Balanced Scorecard (BSC). Balanced Scorecards(BSCs), project portfolios, selection algorithm In 1952 Harry Markowitz described the Modern Portfolio Theory (MPT) for the first time in his seminar paper ”Portfolio Selection” in the Journal of Finance [MAR52]. In 1981 F. Warren McFarlan applied MPT to the management of projects. In the Harvard Business Review entitled ”Portfolio Approach to Information Systems” [MCF81] he recommended employing a risk-based approach to select and manage projects. In 1994 the US Government Accountability Office's (GAO) report ”Improving Mission Performance Through Strategic Information Management” [GAO94] described the private</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. INTRODUCTION</title>
      <p>Project Portfolio Management (PPM) is a field of research
that becomes more and more important – mostly driven
by economic thinking, competition and regulations.
Especially regulations like the Sarbanes-Oxley Act (SOX) require
companies to document decisions and the according decision
making process. PPM represents a framework for doing this
in the environment of projects and project portfolios. The
paper gives a short overview on the fundamentals of PPM
and focuses on the selection process for projects to become
part of a portfolio. The other parts of the PPM-process
are not touched in this paper – reference for continuative
literature is made at the respective sections in the paper.</p>
      <p>The algorithm developed in chapter 3 can be applied to
any kind of project in any industry, as the criteria are based
on Project Management Standards and on company-specific
criteria coming from the implementation of a Balanced
Scorecard (BSC). If the company has already a BSC in place, the
algorithm can be directly implemented.</p>
      <p>After the development of the algorithm, the paper shows
the application with some test-data taken from a bank. This
part focuses on optimizing a sample portfolio with test data
and given constraints.</p>
      <p>The methodology itself cannot guarantee the success of
the projects in a portfolio, as this depends on various other
factors as well, but it ensures the traceability of the selection
of the projects in this portfolio.</p>
      <p>Permission to make digital or hard copies of all or part of this work for
personal or classroom use is granted without fee provided that copies are
not made or distributed for profit or commercial advantage and that copies
bear this notice and the full citation on the first page. To copy otherwise, to
republish, to post on servers or to redistribute to lists, requires prior specific
permission and/or a fee.
10th Int. Conf. on Electronic Commerce (ICEC) ’08 Innsbruck, Austria
Copyright 2008 ACM 978-1-60558-075-3/08/08 ...$5.00.
2.</p>
    </sec>
    <sec id="sec-2">
      <title>STATE OF THE ART IN PROJECT PORT</title>
    </sec>
    <sec id="sec-3">
      <title>FOLIO MANAGEMENT (PPM)</title>
      <p>The role of Chief Economic Officers (CEOs) in the past
was mainly driven by optimizing economies of scale for the
companies they were leading. Research and development
was a minor success factor as the life-cycles of products
lasted over years and the competition was driven by the
price rather than by unique selling points for specific
products. Over the time markets evolved and products moved
closer and closer to the special requirements of various
customer groups – the diversification increased.</p>
      <p>The companies needed to adapt their organizatorical
structures and processes in a way to be more efficient and to
react quicker to the needs of the market. In parallel
legal restrictions like the Sarbanes-Oxley Act (SOX) and the
right of the stakeholders to understand and follow up on the
decisions made by the board forced them to increase their
level of Corporate Governance. Criteria like Profitability,
Return on Investment (ROI) and Windows of Opportunity
were extended by topics to optimize the implementation of
the company’s strategy:
• What mix of potential projects will provide the best
utilization of human and cash resources to maximize
long-range growth and return on investment for the
company?
• How do projects support strategic initiatives?
• How will the projects affect the value of corporate
shares (stock)?
To answer these questions, the projects within the company
needed to be managed following the mission and
implementing the strategy of the company. This is what led to the
current best-practice in the implementation of PPM.
2.1</p>
    </sec>
    <sec id="sec-4">
      <title>Historical development of PPM</title>
      <p>sector organizations using a portfolio investment process to
select, control and evaluate projects.</p>
      <p>In 1998 the GOA published the ”Executive Guide:
Measuring Performance and Demonstrating Results of IT
investments” [GAO98]. Portfolio management and analysis were
pointed out as one of four strategic enterprise objectives.</p>
      <p>Since the introduction of SOX in 2002, companies noted
at the stock exchange have a special demand to be
transparent in the use of their capital and the actions they pursue.
Project Portfolio Management proved to be one possibility
to comply with the regulatory standards by effectively
managing the companies’ resources. Figure 1 describes the level
of implementation as of 2005 [PS05].
2.2</p>
    </sec>
    <sec id="sec-5">
      <title>Definition of PPM</title>
      <p>As projects became more and more important over the
years, traditional organizations organized around operations
where extended with a second field for project execution.
They were controlled separately from each other and many
of the stakeholders recognizing the shortcomings of this
approach considered PPM to be the bridge between the two
worlds like shown in figure 2. The reasoning behind this is
based on the fact that operations and projects utilize the
same resources but have different views on them. The
functional departments focus on business performance, project
manager focus on their projects’ performance; the
satisfaction of the stockholders is of interest for the business whereas
projects are more interested in the satisfaction of the
stakeholders – just to give two examples. In fact PPM is much
more than that; following the definition of [CEK99] and
[CEK01] PPM needs
• to maximize return and achieve financial goals
• to maintain the competitive position of the business –
to increase sales and market share
• to properly and efficiently allocate scare resources
• to forge the link between projects selection and
business strategy
• the portfolio is the expression of strategy – it must
support the strategy
• to achieve focus – not doing too many projects for the
limited resources available and providing resources for
the great projects
• to achieve balance – the right balance between
longand short-term projects and high-risk and low-risk ones,
consistent with the business’s goals
• to better communicate priorities within the
organization vertically and horizontally
• to provide better objectivity in project selection and
weed out bad projects
This alters the original picture towards a new understanding
of PPM: PPM acting as a hub servicing various interests and
functions (figure 3).</p>
      <p>• Strategic and tactical plans
the proper prioritization of projects according to their
relevance to the strategy and the progress of execution
to achieve the targets set need to be monitored.
• Resource Availability
resources for upcoming projects need to be scheduled
and planned carefully as there is normally some lead
time for all of them: e.g. human resources need either
to be trained or hired, financial resources like loans
need to be applied for.
• Budget and Cash Flow
budgets for projects need to be cross-checked and the
cash flows determined to plan the needed financial
resources.
• Scope, Change and Cost Control
the scope of any of the projects in the portfolio needs
to be monitored tightly as all the dependencies to other
projects in the portfolio depend on it. Changes might
affect not only a project but the whole portfolio.
• Opportunity Management
if there are opportunities for optimizing the portfolio,
they need to be recognized and managed. This
function has a wide field of activity starting from the
recognition of newly raised dependencies between projects
in the portfolio over changes in the market to better
allocate resources to moves of competitors that might
change the implementation plans for the company’s
strategy.
• Demand (Internal Projects)
besides the strategic projects of a company there is also
the need for projects that might not have direct impact
on it but are required to improve certain processes.
• Project Control and Performance
the ongoing projects need to be monitored in terms
of classical project management procedures to
understand the progress and realize the impact of the
evolvement on other projects in the portfolio.
• Resource Allocation
the resources need to be distributed over the projects
to optimize the possible output. As the resources are
limited this needs to be handled in with a portfolio
optimization approach like the Modern Portfolio Theory
(MPT) from H. Markowitz.
• Risk Assessment and Management
the risks for the projects and the whole portfolio need
to be accessed during the selection of the projects and
during the whole life-time as risks evolve over time.
The responsibility of PPM is to protect the company
from unexpected risk.
• Business Performance
the execution of the projects and the portfolio is very
important but the crucial point for the company’s
success is, if the projects delivered return the business
value expected. Therefore the implemented projects
need to be reviewed after their closure for the return
of the investment and the conclusions for ongoing and
future projects need to be drawn.
2.3</p>
    </sec>
    <sec id="sec-6">
      <title>The Process Model of PPM</title>
      <p>In contradiction to the execution of projects PPM does
not have a defined beginning nor has a defined end as it is
an ongoing process. However the process can be divided into
five phases which are often separated with methods like the
Stage Gate R Process, meaning that they are only allowed
to enter the next phase if the phase before is finished and
certain criteria are fulfilled. The phases for PPM are defined
as follows:
• Identification of needs, goals and objectives
in the first step the requirements for the portfolio are
defined. The needs describe the reasons why the
company implements PPM. The goals and objectives
define the targets to achieve and the measures to quantify
them. Taking these as a baseline the selection
criteria are built or updated to choose the proper projects
for the portfolio. As expectations towards PPM evolve
over time and the acceptance and success of PPM
depends on clear expectation management, this step is
not defined as a one-time preparation step but is an
integral part of the PPM-life cycle. Important to
mention is that the objectives should stay as stable as
possible over the time – a change in the objectives for the
PPM means that the traceability of the portfolio is
disturbed.
• Selection of the best combinations of projects (the
portfolios)
the quality of the portfolio depends to a large extend
on the quality of the selection-criteria defined in the
first step. In addition the current business strategy and
actual targets are taken into consideration to pursue
the right set of projects. Details will be discussed in
the chapter dealing with criteria for selecting projects.
• Planning and execution of the projects
this step deals with the scheduling and the conduction
of projects in the portfolio. It must not be mixed up
with the planning and execution of projects in terms
of project management as the focus on this phase is on
the state of the portfolio and the contribution of each
single project to the portfolio and not on the details of
the projects in the portfolio.
• Monitoring portfolio performance
the monitoring focuses on the delivery of the expected
project deliverables and their contribution to the
development of the portfolio. Variations of the plans are
detected and corrective actions or change requests are
set. The main deliverable of this phase for the board
of the company is a dashboard providing them with
the information what the actual status on the
implementation of the strategy is.
• Realization of benefits
the last phase in the cycle is used to compare the
implementation of the project deliverables and their
business impact to the expected results. This step does not
only provide information on the achievements of goals
but needs to be used to question the reasons in case of
failure as well. They might give new or additional
input to the first cycle again and help defining the needs,
goals and objectives.</p>
      <p>There is no general recommendation on the duration per
iteration of the life cycle as a reasonable time frame depends
on the projects in the portfolio. However, for most of the
portfolios a benchmark should be a month.</p>
      <p>The portfolio life-cycle described up to now leaves open,
how the Project Management methodology is embedded.
The best-practice solution which is proven by various
implementations is shown in figure 5.</p>
      <p>As projects have different start-dates, milestones and
enddates, they cannot be synchronized in a way that they fit
in a phased approach were all of them sharing the same
rhythm. Therefore PPM needs to adapt and be so flexible
to handle projects in various stages of their life-cycle and still
fulfil its function. The approach in figure 5 shows that ideas
and opportunities are collected in the very beginning but
are treated outside the PPM-Cycle itself (but in the
PPMresponsibility as displayed in figure 3). After an opportunity
or idea has been selected, the initiation phase for the project
starts from where it continues through the whole project
management life cycle (Initiation – Planning – Executing
– Controlling) besides Closing. During all the time PPM
oversees the project and monitors it. As soon as it comes
to Closing, the project quits the life cycle, as this part is
administrative only and does not impact the value delivered
to the portfolio any more.</p>
      <p>As this paper focuses on extending the existing selection
algorithms, it will only deal with optimizing the value of
the portfolio by using the proper set of criteria to prioritize
projects. For the other process steps reference is made to
the explanations in [LEV05], [PS05], [COO05], [PMI06] and
[RMW07].</p>
    </sec>
    <sec id="sec-7">
      <title>A NEW APPROACH FOR SELECTING</title>
    </sec>
    <sec id="sec-8">
      <title>PROJECTS IN A PROJECT PORTFOLIO</title>
      <p>The existing approach introduced in chapter 2.3 contains
weaknesses in terms that some major aspects of an efficient
PPM are not fulfilled:
1. The existing project portfolio optimization models are
based on the methodology of Markowitz [MAR52] but
do not consider one important fact: Markowitz based
his theory on financial portfolios. The difference
between financial and project portfolios in this relation is,
that financial ones are continuously distributed whereas
project ones are discretely distributed. This is because
in financial portfolios shares or derivatives can be sold
or bought in arbitrary pieces whereas projects can be
executed or not – the execution of 50% of a project by
gaining 50% of the benefit is unrealistic. In projects
the earned value cummulates over all deliverables of
the project and the benefit cannot be split or partially
fulfilled by a certain number of deliverables.
Explanations on the difference between continuous and discrete
distribution can be found in [KRE98].
2. Further the projects are evaluated by themselves but
not by their value contribution they have with their
dependencies to other projects. This means that projects
with a low value by themselves but acting as an enabler
for high-valued projects might not be implemented. A
special case in this coherence are projects in a
portfolio that do not provide a business need itself but are
obligatory (e.g. needed to fulfil regulations set by the
government).
3. The quantifying measures to prioritize the projects are
related to financial figures only. They do not take the
influences on other key performance indices (KPIs)
relevant for the company into consideration. Therefore
this approaching is lacking to optimally support the
strategy of the company.
4. The assumption for most existing optimization
algorithms is, that the limitation of human resources can
be resolved by investing additional money to buy
additional ”Know-How”. In reality, this is normally not
true as sensitive and important projects require special
people with high sophisticated skills.</p>
      <p>The approach that should be developed in this chapter
tries to address all these issues and will provide suggestions
to resolve them in a way that project portfolios can be
optimized fully considering them.
3.1</p>
    </sec>
    <sec id="sec-9">
      <title>The distribution of a project portfolio</title>
      <p>The first weakness identified goes along with the
distribution of a project portfolio. [GRU05] explains that
”The Efficient Frontier curve shows all of the
best possible combinations of project portfolios
and the value that can be created with available
capital resources in an unconstrained mode.”
and further</p>
      <p>”The Efficient Frontier shows the opportunity
cost of investing an additional dollar versus the
additional value received.”
The second statement implies that an arbitrarily chosen
amount of money adds additional value to the project
defined by a certain function. This would also mean that
projects can be split in smaller pieces by delivering a smaller
value that can be determined.</p>
      <p>In reality this does not work out. Imagine a car
manufacturer that needs to develop two new cars: the first one takes
development cost of 500 million dollar and the second one
of 600 million dollar, the budget of the company is 800
million dollar. Following the Efficient Frontier approach would
mean that the company could e.g. run the project for the
first car and invest the remaining money into the project
for the second car. Obviously there is a value for project
one if we assume that it is finished successfully and it goes
into production and into sales – the money invested into
the second project does not provide any value so far: a car
where the product development is not finished can neither
be produced nor sold.</p>
      <p>This needs to be repeated for possibilities of k (the
number of projects that can be executed in parallel). In theory
k can be any number between 1 and n because without
dependencies and limitations all projects could be executed;
limiting k only makes sense if the stakeholders do not want
to support more than a maximum of k projects at the same
time:
n
X
k=1</p>
      <p>n!
k! (n − k)!</p>
      <p>The first complexity to be added are the dependencies.
Formally it means that for a portfolio at t0 only projects that
to not rely on any other project can be executed. All other
projects need to wait for the finishing of their predecessors;
this reduces the complexity of the project portfolio by
or
n
X
k=1</p>
      <p>n!
k! (n − k)! −
m
X
k=1</p>
      <p>m!
k! (m − k)!
n−m
X
k=1</p>
      <p>(n − m)!
k! (n − m − k)!
where m are the number of dependent projects in the
portfolio. This finding needs to be handled with high caution
as it might lead to a failure: prioritizing now the portfolio
based on the value of the projects in t0 would lack the
vision that is necessary in PPM: a future oriented approach
should keep in mind all combinations of projects including
the value of each path – a sample path diagram based on
dependencies in a project portfolio is shown in figure 6.</p>
      <p>Thus the algorithm needs to be extended to not only look
at t0 but considering the whole timeline until the finalization
of the last project to optimize the portfolio on the maximum
expected benefit out of all options in the future. Therefore
every project needs to be listed with all its dependencies:
(1)
(2)
(3)</p>
      <p>The issue can only be solved by changing the approach
from arbitrarily changes in size to changes in terms of full
projects – this implies further that the type of distribution
that needs to be used is not a continuous one like [MAR52]
used for financial portfolios but a discrete one: a distribution
that shows all possible portfolio combinations. For
simplification purposes at the beginning the following topics are
not considered – they will be added later on:
• dependencies to other projects
• observations beyond the point in time t0
• obligatory flags for projects
• limiting constraints
This determines the number of portfolios alternatives to be
a combination of n different projects taken k at a time,
without repetitions or
n
k
!
=</p>
      <p>n!
k! (n − k)!</p>
      <p>P6
P2
P5
- P7</p>
      <p>P3
Project</p>
    </sec>
    <sec id="sec-10">
      <title>The value of project options in a project</title>
      <p>As the various paths in the project portfolio are known
based on their dependencies, the next step is to benchmark
every option for its value. Naturally the prioritization would
take place by sorting them by a certain selection criteria.
The issue using this approach is, that the duration of the
project(s) is not considered and therefore the return on the
various options is not evaluated on the same baseline. For
this reason the indicator needs to be discounted over the
duration of the project respectively the duration of projects
within the option:</p>
      <p>Option Value =
(4)
X Indicator
p (1 + r)dp
where p represents all projects in the option, r is the discount
rate per period and dp is the period from the beginning of the
portfolio’s perspective to the end of the considered project
(not the portfolio!). Caution needs to be taken in case the
indicator chosen is already discounted like the NPV or a
derived one. An effective indicator for the Option Value will
be introduced in section 3.4.</p>
      <p>There might be situations where projects in a portfolio are
obligatory e.g. for regulatory reasons. These projects might
not return any direct value to the company. Therefore they
need to be incorporated separately as they would otherwise
never make it into the project portfolio.</p>
      <p>The solution is
to mark them and all the projects they depend on directly
and indirectly as mandatory, considering them before the
priority list given by the indicator.</p>
      <p>By now the approach addresses the issues one and two
identified at the beginning of the chapter – the next step
must be to find a solution to problem number three: the
solution described so far relies on financial KPIs only, but
does not consider further influences of the project on the
3.3</p>
    </sec>
    <sec id="sec-11">
      <title>Quantifying measures beyond financial KPIs</title>
      <p>This section deals with the fact, that indicators cannot
only be taken from the financial information that goes along
with the execution or finalization of the project but also with
the influence on and from other components of the success
of a company. This paper distinguishes between two types
of such indicators: the ones derived from a Balanced
Scorecard and others taken from standard project management
methodology defined by the Project Management Institute
(PMI) respectively well known indicators out of standard
project management.
3.3.1</p>
      <p>Measures from a Balanced Scorecard</p>
      <p>The first possibility to extend the traditional view is to
follow a Balanced Scorecard (BSC) [KN96] approach by
taking the measures and KPIs identified in a BSC to determine
the influence of a project on this BSC. This implies that
the projects can be evaluated on their contribution to the
strategy that is defined in the BSC.</p>
      <p>The BSC identifies objectives and the influences between
these and tries to bring them down to factors that do not
represent aggregates figures but are pure values that cannot be
further decomposed (so called α-figures). Their
transformation to the operational KPIs is defined in the mathematical
model of the BSC which provides the first of the
transformations needed to get the target values for prioritization in this
model. The figure below describes the projects in a
portfolio (P1 . . . Pm), the BSC input variables (Bα1 . . . Bαn) and
the BSC output variables (Bβ1 . . . Bβn). The B stands for
BSC – there will be additional input- and output-variables
described afterwards, so this identifier is needed.</p>
      <p>BSC Input Variables</p>
      <p>Bα1 . . . Bαn</p>
      <p>For the evaluation of projects it is important to
understand how the finished project will change the α-figures of
the BSC. Out of the transformation (a n:m transformation
between input- and output-variables) the expected change
in the strategic figures can be calculated (the β figures).
3.3.2</p>
      <p>Measures taken from Project Management</p>
      <p>So far this section dealt only with KPIs determining the
alignment of a project with the strategy of the company.
In addition there are other KPIs that deal with project
inherent data and are necessary for the selection process as
well. The ones the paper is referring to are the ones of the
Project Management Institute (PMI) defined in the Project
Management Body of Knowledge (PMBOK R ) [PMI04].</p>
      <p>The input parameters (or α-figures) can be defined as
follows:</p>
      <p>Project</p>
      <p>P1
.
.</p>
      <p>.</p>
      <p>Pm
Project</p>
      <p>P1
.
.</p>
      <p>.</p>
      <p>Pm</p>
      <p>P1Bα1
.
.</p>
      <p>.</p>
      <p>PmBα1</p>
      <p>P1Bβ1
.
.</p>
      <p>.</p>
      <p>PmBβ1</p>
      <p>BSC Output Variables
Bβ1 . . . Bβo
• Rate of the skill
describes the rate to be paid for the specific skill. The
scale chosen needs to be the same as the scale the
demand is given in and needs to be available or estimated
for all periods the project is planned to be executed in.
• Investments</p>
      <p>depict the investments planned within the project.
• Investment cost
determine the cost that go together with the
investments described.
• Risks
the risks that go along with the project need to be
identified.
• Lowest possible impact for every risk identified
• Probable impact for every risk identified
• Highest possible impact for every risk identified
• Direct dependencies to other projects
the dependencies included may only be mandatory
dependencies for the execution of the project. Sometimes
they become mixed up with so called discretionary
dependencies sourcing from e.g. resource shortages –
they need to be filtered and removed as the selection
algorithm would not work efficiently in this case.
Section 3.5 shows that this kind of dependencies comes
from constraints within a portfolio.</p>
      <p>Out of these factors the following output-parameters (or
β-figures) can be derived. Formally they underlie the same
kind of transformation that can be seen with the factors
from the BSC – projects in a portfolio (P1 . . . Pm), the
project input variables (Pα1 . . . Pαn) and the project output
variables (Pβ1 . . . Pβn).</p>
      <p>Project</p>
      <sec id="sec-11-1">
        <title>Total Labour Cost (TLB).</title>
        <p>The cost of labour depends on the demand for specific
skills and their rate. This formula is only to calculate the
cost of labour – at this point in time it is not yet considered
that the availability might be an issue; it will be discussed
later on during the further development of the algorithm.</p>
      </sec>
      <sec id="sec-11-2">
        <title>Total Investment Cost(TIB).</title>
        <p>The investments planned within the project – also
important to calculate depreciation for the spendings on inventory
goods out of a project, which can also be used as an
indicator in the prioritization of the portfolio (e.g. percentage of
the project budget that can be activated for depreciation):
where p represent the periods of the project and i the
investment needed.</p>
      </sec>
      <sec id="sec-11-3">
        <title>Total Risk Cost (TRB).</title>
        <p>Every risk in the project needs to be quantified in a way
that the monetary value that goes along with it becomes
determined. Therefore the lowest possible impact, the
probable impact and the highest possible impact are estimated
and weighted for every risk:</p>
        <p>TRB =
r
X x × lir + y × pir + z × hir
x + y + z
where r represents the risks in the project, li the lowest
possible impact, pi the probable impact, hi the highest possible
impact and x, y and z the weights. Further explanations
on the estimation and calculation of risk can be found in
[BRA07].</p>
      </sec>
      <sec id="sec-11-4">
        <title>Total Project Budget (TPB).</title>
        <p>The three figures discussed summarize to the Total Project
Budget.</p>
        <p>TPB = TLB + TIB + TRB
(6)
(7)
(8)
or</p>
        <p>TPB
=
+
+
p s
p i
r</p>
        <sec id="sec-11-4-1">
          <title>X X rateps × demandps</title>
          <p>X X investmentpi
X x × lir + y × pir + z × lir
x + y + z</p>
        </sec>
      </sec>
      <sec id="sec-11-5">
        <title>Planned Value (PV).</title>
        <p>This indicator is the baseline for Earned Value
Methodology (see also [PMI04] p. 172–176 and [PMI05]) and the
application of all budget related control mechanisms in a
project. It is similar to the TPB but does not contain the
risk budget. The reason behind is, that the PV is the basis
all efforts within the project are tracked against – if risk cost
would be included in this figure, non-occurred risks would
be counted as success to manage the project below budget.
Further the point in time for a possible incident cannot be
determined a priori and therefore a valid cost plan could not
be provided.</p>
        <p>PV = TLB + TIB
(9)
=
+
p s
p i
PV</p>
        <sec id="sec-11-5-1">
          <title>X X rateps × demandps</title>
          <p>X X investmentpi
(5)
or</p>
        </sec>
      </sec>
      <sec id="sec-11-6">
        <title>Total Effort (TE).</title>
        <p>The total effort represents the timely effort invested in a
project and is normally measured in man-years.</p>
        <p>TE =</p>
        <p>X X demandps
p s
(10)
where p represent the periods of the project and s the skills
needed.
3.4</p>
      </sec>
    </sec>
    <sec id="sec-12">
      <title>Building the quantification criteria</title>
      <p>Obviously all of the factors determined (PmBβ1, . . ., PmBβo;
PmPβ1, . . ., PmPβq) need to be used to prioritize a portfolio
effectively. This introduces two new problems:
• a standardization of the β-figures is needed, as most
of them have different measures and scales. This is
close to impossible because how should e.g. ”Customer
Satisfaction” and ”Education days of an employee” be
measured on the same – still meaningful – scale?
• a weight for every β-figure needs to be calculated to be
in the position to aggregate the factors to a significant
indicator. The word ”significance” implies already that
the weights need to be derived from the attitude of the
decision-makers. As there is more than one
decisionmaker in a team, a compromise would need to be made
which is again a sub-optimal solution.</p>
      <p>The problem can be solved by looking at the different
β-figures neither considering their measurement nor their
weights but still offering a transparent and comparable
figure. The solution is in the calculation of the area that is
spanned by the different relative β-figures in a a radar-chart
(also called spider-chart) in figure 7.</p>
      <p>The table for the base values looks as follows:
Project 1 abs.</p>
      <p>Project 2 abs.</p>
      <p>Project 1 rel.</p>
      <p>Project 2 rel.</p>
      <p>1
• Every figure can be presented using its measure – the
only topic of importance is, that the scale is used in a
way that the better the result is, the larger the distance
to the zero-point of the graph needs to be.
where N represents the number of edges in the polygon and
x and y their coordinates. The last coordinate must be
identical with the first one to close the area of the polygon.</p>
      <p>To do the calculation with the items out of a radar chart,
the data points need to be transformed into a two-dimensional
co-ordinate system. In the first step x- and y-values of the
data points are calculated taking the centre of the polygon
to be the zero-point of the grid. This can be derived using
trigonometric functions. Assuming – like shown in figure 7 –
the line for criteria one is vertically aligned (what means 90
degree or π/2) the formula is defined as follows; let xi and
yi be the x and y coordinates relative to the centre of the
radar-chart for every relative value χi of the corresponding
criteria βi in the radar-chart where N is the total number
of criteria:
xi = cos
yi = sin
π
2 −
2π (i − 1)</p>
      <p>N
π
2 −
2π (i − 1)</p>
      <p>N
The formula is derived the following way:
xi = cos
= cos
= cos
= cos</p>
      <p>360
90 − N
90 −</p>
      <p>× (i − 1)
360 × (i − 1)</p>
      <p>N
180π
360 −
720π × (i − 1)</p>
      <p>360N
π
2 −
2π (i − 1)</p>
      <p>N
× χi
× χi
× χi</p>
      <p>The result shows, what is expected when looking at figure
7: project 2 covers a larger area and has therefore the higher
value compared to Project 1 in terms of measures that are
influenced by it. As discussed already, this indicator can
easily combined with the formula defined in (4) to calculate
the value of an portfolio option based on all the projects
contained.</p>
    </sec>
    <sec id="sec-13">
      <title>Constraints within a project or a project portfolio</title>
      <p>The last remaining issue not being addressed so far is the
one of constraints within a project or a project portfolio.
As a matter of fact limitations constrict the possibilities of
projects to choose for a portfolio. Recent approaches try to
formulate every constraint as a financial one arguing that
anything else can be removed by monetary investments. In
reality this is not the case as it was explained already in the
description of weaknesses at the beginning of chapter 3 on
the example of skills of human resources.</p>
      <p>As discussed in section 3.3, all relevant indicators for the
selection of projects are represented in the α- and the derived
β-figures. This implies that also the relevant constraints for
the portfolio can only hit one of these figures.</p>
      <p>First of all, all the αs and βs from the projects and all
their totals in case of combinations that could be started
in t0 based on their dependencies are summarized in a
matrix together with their prioritization and constraints. The
order of the projects is based on the total option value of
the project (except for mandatory projects) summarizing all
discounted option values it is the first project in. At the
bottom of the matrix, all constraints for the indicators are filled
in. Additionally every constraint needs to be marked, if the
constraint must not be undercut (a minimum-constraint) or
must not be exceeded (a maximum-constraint):</p>
      <p>The project-specific αs and βs are not displayed in this
example for space reasons. Normally the matrix is extended
at their right border by the project-specific αs and βs.</p>
      <p>All totals of αs and βs need to compared with their
respective constraints. For all of them which are violated, so called
”discretionary” dependencies need to be added in the
following way: the project with the lowest total option value is
taken away from the portfolio of t0 and given a dependency
to the project finishing the earliest after the prioritization.
This is repeated until all constraints can be fulfilled. If this
is impossible (so in the worst case, the project with the
highest total option value cannot be executed) the topmost
project causing the conflict is removed and the procedure is
restarted with all the other projects. If this extended
procedure does not direct to a meaningful portfolio, the
constraints are too narrow to allow a prioritization. In this
case, focus need to be set on widening the constraints.
3.6</p>
    </sec>
    <sec id="sec-14">
      <title>The Final Portfolio</title>
      <p>The portfolio developed is the one that contributes best
to the strategic targets of the company under the given
conditions. However, the prioritization itself is not a guarantor
that the targets set for the projects are also achieved. For
controlling the projects in a way to have tight control on the
progress, there are methods available but they are outside
of the scope of this paper – a detailed description can be
found at [PMI05].</p>
    </sec>
    <sec id="sec-15">
      <title>EXAMPLE: IMPLEMENTATION OF THE</title>
    </sec>
    <sec id="sec-16">
      <title>NEW APPROACH 4.1</title>
    </sec>
    <sec id="sec-17">
      <title>Initial situation</title>
      <p>This chapter deals with the exemplary implementation of
the approach developed. The sample setup consists out of
five projects taken out of a project portfolio of a bank:
#</p>
      <p>To fulfil the quantification requirements defined in section
3.3 the model needs to rely on a BSC developed for this
company and on the respective input parameters to this BSC.
The success factors defined for this sample BSC can be seen
in figure 8.</p>
      <p>The Cause-Effect model for this sample BSC is shown in
figure 9. The detailed aggregation algorithms from the
αfigures up to the calculation of the influence of the success
factors is not discussed here in detail, as it is part of a BSC
and for the algorithm in this example, only the input-figures
and the output-figures of the BSC are of importance.</p>
    </sec>
    <sec id="sec-18">
      <title>4.2 The distribution of the set of projects including their dependencies</title>
      <p>Before the paper goes into detail on the α- and β-figures
for this set of projects, the dependencies for this
constellation are discussed. Following the formula given in (2), the
complexity of five projects and their combinations give 31
possibilities to structure the portfolio in t0:
analytical ones and depend on various data loaded from
different source systems. The APS project and Collection
System project are independent from the DWH-project but the
APS project is the mandatory predecessor for the Collection
System (the bank could not collect overdue loans they do
not have the data for). This information gives the following
dependency map:
MIS</p>
      <p>CRM
DWH
APS</p>
      <p>CS
The dependency matrix for the projects is as follows:</p>
    </sec>
    <sec id="sec-19">
      <title>Quantifying measures</title>
      <p>In our example the contribution to the input factors
(already derived from α-figures) by the projects for the BSC
were identified like this:
ables
Motivation Index
Absenteeism
Turnover Rate
Training Hours
Ethics Violations
Duration of NR
Applications
Number
sources
of
for</p>
      <p>Re</p>
      <p>NR
Applications
Efficiency of NR</p>
      <p>of Retail
Collection
Duration
Applications
Number
sources
of</p>
      <p>Refor Retail
Applications
Efficiency of Retail
Collection
Degree of
automatization of retail
processes
Number of
Marketing Activities
Market Rating
Non-Retail
tomer
Retail Customer</p>
      <p>CusCustomer
Satisfaction Rating
Percentage of
offers/deals
Non-Retail
tomers lost</p>
      <p>cus</p>
      <p>Customers
tomer
Retail
lost
ity
IT Investments
Building
ments
Other Investments
Labour Cost</p>
      <p>InvestOutVari</p>
      <p>TarBSC
put
ables
ented
gets
Person
OriProcess
Excellence
Market
Position
Gaining
and
taining
Customers
Increase
Revenue
Decrease
Cost</p>
      <p>Re-5
-10
-2
-20
+1
+1
+10%
+10%
+20%
+10%
+1
-1
+5
+500
+5%</p>
      <p>CS
+2
+7
-5
+500
-2
-5
+5%
-2
-20
+5%
+5%
+25
+1
+5%
+500k
+100k
+1.600
+100
+1.000</p>
      <p>+150
+200</p>
      <p>-5
+5%
-1
-10
+5%
+5%
+30
+100
+2
-10
+3
-1.000
+30.000
+1
+10%
+10%
Products per
cus</p>
      <p>+3
Product
Profitabil+10%
+100k
+150k
+150k
+150k
+630k
+840k
+1.260k
+420k
+210k
zation input:</p>
      <p>The corresponding output figures (β-figures) for the BSC
have been calculated and bring the results for the
prioritiDWH
+16
+28
+25
+500</p>
      <p>MIS
+1
+5
+500
+100</p>
      <p>CRM
+2
+7
+430
+610</p>
      <p>APS
+10
+35
+500
+200
transformation to the output variables:</p>
      <p>So far the BSC input- and output variables have been
discussed.</p>
      <p>What is missing from the KPI point of view are
the figures coming from the project input variables and their
explained in chapter 3.3.2 the following output matrix can
be determined – also for prioritization purposes, like the
4.4</p>
    </sec>
    <sec id="sec-20">
      <title>Building the quantification criteria</title>
      <p>Of course the project budgets presented in this figure are
equal with the negative decrease of cost in table 4.3. The
χ-figures derived from the tables 4.3 and 4.3 are now used to
build the radar-chart in figure 10. For the simplification of
illustration not all criteria have been considered. The table
with the base values looks as follows:
for the covered area:</p>
      <p>DWH rel.</p>
      <p>MIS rel.</p>
      <p>CRM rel.</p>
      <p>APS rel.</p>
      <p>CS rel.</p>
      <p>POT
This data results in the following co-ordinates and values
in Revenue and Decrease of cost are removed but therefore
an α-figure from the Project-αs is added: the demanded
availability of a business analyst for the respective project
measured in person days (PDs):</p>
      <p>Project
DWH-MIS
APS-CS
DWH-CRM
APS</p>
      <p>Total POT
Option
Value</p>
      <p>The table shows an obvious conflict with the person days
for the business analysts needed (BA PDs). Following the
procedure described in section 3.5, the options need to be
eliminated buttom-up following their total option values. If
this is done in this portfolio, it ends up with the following
status:</p>
      <p>The current status shows that the issue with the BA PDs
could be solved but turned the project into conflict with
lots of other constraints. Obviously the portfolio cannot
be structured in a way that stay within the boundaries set.
This leaves two options: the first one is, to take the portfolio
above also implying that the stakeholders need to adapt the
constraints given. The second option would be to include
another project to optimize the number of limits being
fulfilled and focus on adapting other limits:</p>
      <p>In the second option the constraint of the BA PDs is
violated again with a very small backlog, which might be
resolved. Therefore the other constraints could be kept and
the portfolio could be adjusted in the best possible way.
Most probably the company could resolve the BA PD issue
and would go for the portfolio given in option 2.</p>
    </sec>
    <sec id="sec-21">
      <title>CONCLUSION</title>
      <p>The discussion in this paper showed that there are lots of
improvements possible to extend the existing selection
algorithms in a way to make them implementing the strategy of
a company. If a company went already through the painful
process of creating and implementing a BSC and is living
the life-cycle process that goes along with it, the presented
algorithm for the selection of appropriate portfolios is a
spinoff product of the BSC and PPM. Naturally, the selection
algorithm is only one part of various steps to successfully
implement the strategy. Others, like the carefully planning
and controlling of a project portfolio or the sustainable
implementation of the project content are others that need to
be dealt with seriously. Possible solutions in these fields
are the Earned Value Methodology (EVM) for controlling
the process or classical mechanisms for mid-term planing to
compare the expected results from PPM with the realized
benefits.</p>
      <p>The challenge in the presented approach is definitely the
quality of the BSC, the portfolio selection algorithm is based
on. If the strategy is not described properly or the controlled
measures are not the right ones to successfully achieve the
vision of the company, the selected portfolio will fail the
same way as the BSC will. Therefore the success of the
implementation of this algorithm will heavily rely on the
time that was spend for defining the strategy. This is also
a lessons learned that should be taken away when project
portfolios should be aligned with the strategy: the project
portfolio can only be as good as the underlying strategy is.</p>
      <p>The further steps for the PhD thesis will be the extension
of the existing project portfolio life-cycle not only by the
selection but also for the planning and monitoring phases. The
target is to present a framework where the whole life-cycle
is linked to the implementation of the strategy using BSCs.
Further the scope is exclusively to focus on optimizing the
project portfolio into this direction – it is true that projects
that cannot be evaluated against their benefits but might
deliver unexpectedly high results will never be selected with
this methodology.</p>
      <p>For the proof of concept (POC) data will be taken from
an internationally acting bank and their project portfolio.</p>
      <p>Project Management Institute: A Guide to the
Project Management Body of Knowledge – Third
Edition(2004)
R.M. Wideman: A Management Framework for
Project, Program and Portfolio Integration,
Trafford Publishing (2004)
Robert G. Cooper: Portfolio Management for
Product Innovation. Project Portfolio
Management: A Practical Guide to Selecting
Projects, Managing Portfolios and Maximizing
Benefits (2005)
Mike Gruia: The Efficient Frontier Technieque for
Analyzing Project Portfolio Management. Project
Portfolio Management: A Practical Guide to
Selecting Projects, Managing Portfolios and
Maximizing Benefits (2005)
Harvey A. Levine: Portfolio Management: A
Practical Guide to Selecting Projects, Managing
Portfolios and Maximizing Benefits (2005)
Project Management Institute: Practice Standard
for Earned Value Management(2005)
James S. Pennypacker, Patrick Sepate: Integrating
Project Portfolio Management with Project
Management Practices to Deliver Competitive
Advantage. Project Portfolio Management: A
Practical Guide to Selecting Projects, Managing
Portfolios and Maximizing Benefits (2005)
Ray Trotta, Christopher Gardner: How to
Determine the Value of a Project. Project
Portfolio Management: A Practical Guide to
Selecting Projects, Managing Portfolios and
Maximizing Benefits (2005)
Project Management Institute: The Standard for
Portfolio Management (2006)
Markus Brandsta¨tter: Risk Management in
IT-Projects
http://www.pmiaustria.org/Content.Node/forum-events/archiv/
20070321 PMI Forum Event Brandstaetter.pdf,</p>
    </sec>
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