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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Requirements for modeling dynamic function networks for collaborative embedded systems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alexander Ludewig</string-name>
          <email>ludewiga@hsu-hh.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marian Daun</string-name>
          <email>marian.daun@paluno.uni-due.de</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ana Petrovska</string-name>
          <email>petrovsk@in.tum.de</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Wolfgang Böhm</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexander Fay</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Helmut-Schmidt-University Hamburg, Institute of Automation Technology</institution>
          ,
          <addr-line>Holstenhofweg 85, 22043 Hamburg</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Technical University of Munich, Department of Informatics</institution>
          ,
          <addr-line>Boltzmannstr. 3, 85748 Garching by Munich</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>The CrESt project aims at developing a consistent methodology to develop collaborative embedded and cyber-physical systems. It is publicly funded by the German Federal Ministry of Education and Research</institution>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>University of Duisburg-Essen, paluno - The Ruhr Institute for Software Technology</institution>
          ,
          <addr-line>Gerlingstr. 16, 45127 Essen</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1808</year>
      </pub-date>
      <abstract>
        <p>Through advances in information technology embedded systems have the capability to collaborate with one another and to merge into collaborative system groups (CSGs) thereby generating added value that a single system alone could not achieve. In order to be able to realize the development of these collaborative embedded systems (CESs) as well as the actual process of the collaboration, information models are used that describe different functions of the CESs with which they contribute to the CSG. The modeling of the individual functions of the CES and the connections of these different functions in the CSG as a function network forms the basis of the representation and realization of the overall function of the CSG with which the common added value is to be achieved. The aim of this paper is to present existing approaches of describing the functions in different domains and to present the requirements for the modeling of function networks in the context of CES and CSG. The requirements have been collected in close collaboration with industry partners from the CrESt project4.</p>
      </abstract>
      <kwd-group>
        <kwd>function networks</kwd>
        <kwd>functional modelling</kwd>
        <kwd>model based systems engineering</kwd>
        <kwd>collaboration</kwd>
        <kwd>cyber-physical systems</kwd>
        <kwd>embedded systems</kwd>
        <kwd>function centered engineering</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>Nowadays, collaboration within a group of embedded systems allows achieving complex
high-value goals, which the individual systems are not able to achieve on their own.
Consequently, embedded systems do no longer only sense their own environment by
means of sensors and change their context by using actuators, but, furthermore, closely
share information and collaborate with other embedded systems. Those embedded
systems are also referred as collaborative embedded systems (CESs). This holds for
various domains, although the kind of this interaction can vary greatly depending on the
application domain (e.g., [KSL03], [VF13]). Due to the varying application scenarios of
CESs, there is an urgent need for methods to master the complexity of development as
well as the actual process of collaboration at runtime (cf. [BS14], [SP12]).
280 AAlelexxanadnedreLruLduedweiwg,iMg,arian</p>
      <p>MariDanauDn,aAunna, APentaroPvesktrao,vWskoalf,gWanoglfBgöahnmg,BAölehxma n,dAerleFxaaynder Fay
To achieve such common goals by collaboration, the different CESs form a collaborative
system group (CSG). For proper functioning of the CSG and achieving the CSG’s
common goals, it is necessary to describe the contribution of each single CES in that
group with respect to the goals and functionality the CSG shall possess.
As functionality builds the basis of all CESs [ZH13], as well as the CSG’s, it is important
to evolve existing function-centered engineering approaches in such a way that they can
take the needs of developing CESs into account. In this paper, we contribute a study of
current functional modeling and analysis approaches, as well as general requirements for
functional approaches to be used for the engineering of CESs. The requirements have
been elicited by surveying industry needs from the automotive, robotics, automation, and
energy domains.</p>
      <p>The main objective of this paper is to systematically derive general requirements for
function-centered engineering approaches for CESs. Therefore, Section 2 analyzes
existing research approaches that focus on modeling of functions w.r.t. the ability to
document collaboration aspects. Building upon this, we elicit the detailed requirements.
Section 3 defines the methodological approach to requirements elicitation from industry.
Subsequently, Section 4 discusses the results in terms of the final set of common
requirements for functional modeling approaches. Section 5 concludes the paper and
shows how requirements can be used to evolve an existing function-centered engineering
approach.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Functional Approaches – State of the Art</title>
      <p>In this section, we provide insight into current functional approaches and the objective of
extending existing approaches. To do so, Sections 2.1 to 2.3 give a brief introduction to
the foundations of functional modeling and analysis approaches. Thus, we also elaborate
on the different uses of the term “function”. Section 2.4 presents own previous work on
function-centered engineering, which is based on the approaches of Sections 2.1 – 2.3
but does not take the engineering of CESs into account.
2.1</p>
      <sec id="sec-2-1">
        <title>Functions in Systems Engineering and Mechanical Engineering</title>
        <p>The effort to model functions as function networks has emerged as part of a framework
from a model-based development approach [AL16]. This model-based development
approach as part of systems engineering pursues the goal of supporting technically
complex development processes through information models. These models should
seamlessly replace the document-based exchange of information [FMS12].
With increasing technical complexity of the products and in particular their capability of
collaboration, it has proven useful to use central information models already in early
stages of development. This way, subsequent media breaks and redundancies shall be</p>
        <p>Requirements for modeling dynamic function networks for collaborative embedded systems 813
avoided and a common understanding of all actors involved in the development process
as well as the requirements of the customers shall be achieved. In particular, the relevant
depiction of dependencies between system elements is made possible by the use of
models [KBD16]. The development of the model-based systems engineering according
to [WA15] originated from a development approach which is mainly characterized by the
disciplines of software and electrical engineering. The development of mechatronic
systems, on the other hand, covers these disciplines as well, but originated from a
mechanical point of view. Only by the increasing share of software and their influence
on the capabilities of the systems, the development process according to [VDI2206]
changed over time. The capability of communication and collaboration between different
mechatronic systems through the possibilities of information technology has shaped
another term called cybertronic systems (CTS) [ME14]. A clear differentiation between
the terms CES and CTS does not yet exist. However, the demand for model-based
development processes is clearly emphasized again.</p>
        <p>Both within the existing development approaches of mechanical engineering as well as
in the context of software development and systems engineering, the term ‘function’ is
used and has an important role. Before considering function networks, a general
differentiation of the functional concept is therefore necessary. Only with consistent
understanding, a future application of function networks can take place in the different
domains.
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Foundations: Software Engineering</title>
        <p>Across the literature, there are different perspectives when it comes to defining the term
function, mainly coming from different standardized sources, varying between functions
that can be user-centered and goal-centered, and, depending on the concrete context,
considering functions as a part of the system and as a viable segment in many steps of
the software development process. Accordingly to [ISO2476517] a function is a defined
objective, or characteristic action of a system or component. Additionally, a function can
be seen as a software module that performs a specific action, is invoked by the
appearance of its name in an expression, may receive input values, and returns an output.
[ISO2476510] and [ISO26514] give more user-centered function definition, as feature or
capabilities of an application, seen by the user [ISO2476510] and as part of an
application that provides facilities for users to carry out their tasks [ISO26514].
[ISO2476510] defines the term function as an aspect of the intended behavior of the
system. The function’s input and outputs are considered in [ISO2476510], where the
authors define the function as a transformation of inputs to outputs, by means of some
mechanisms, and subject to certain controls, that is identified by a function name and
modelled by a box. Function’s input is defined as data received from an external source,
and as the entered data or the process of entering data into an information processing
system or any of its parts for storage or processing. On the other side, function’s output
is defined as data transmitted to an external destination, and the process by which an
information processing system, or any of its parts, transfer data outside of that system or
part.</p>
        <p>When it comes to considering function as part of the software development process, the
function itself is mostly related to the implementation/development phase of the
development process, since mainly the system’s functionality creation is being done in
this phase. Nevertheless, the function has a deep impact in underpinning other software
development phases. It has been related to the requirements and design phase while
considering the project definition segment of the development process, and contrary,
while focusing on verification segment, the function has been related to the testing
phase. [ISO2476510] relates the function to the requirements phase of the software
development process, and introduces the term, functional requirement, as a requirement
that specifies a function that a system or system component must be able to perform.
Functional design, referred to also as architectural design [ISO2476510] is the process of
defining the working relationships among the components of a system and the result of
that specific process. Functional testing [ISO2476510] can be considered as black-box
testing that ignores the internal mechanism of a system or component and focuses solely
on the outputs generated in response to selected inputs and execution conditions, or as
performance testing that is conducted to evaluate the compliance of a system or
component with specified functional requirements.</p>
        <p>Functional modeling is used to model a wide variety of automated and non-automated
systems. For new systems, it may be used first to define the requirements and specify the
functions and then to design an implementation that meets the requirements and
performs the functions. A functional model is a structured representation of the
functions, activities or processes within the modeled system or subject area. It describes
system functions (i.e. actions, processes, operations), functional relationships, and the
data and objects that support systems analysis and design, enterprise analysis, and
business process re-engineering [ISO2476510] requirements.
2.3</p>
      </sec>
      <sec id="sec-2-3">
        <title>Foundations: Mechanical Engineering</title>
        <p>The term function can also be found in development processes of mechanical
engineering and mechatronic systems. In various guidelines, such as [VDI2221] and
[VDI2222], the function is used differently, among other things as a result of a phase of
development between the concrete definition of requirements or specific problem
description and the finding of fundamental solutions for the system to be developed.
According to [PA07], the main function of the system to be developed is initially set up,
which represents a problem formulation by means of a noun-verb combination on an
abstract level. According to [VDI2206], this problem formulation is also referred to as
the target function for the required behavior under operating conditions. These input
conditions are described as the input of the function by the flow quantities material,
energy and information. The output of the function is represented here by the same flow
variables with changed characteristics. The function can therefore be understood as a</p>
        <p>Requirements for modeling dynamic function networks for collaborative embedded systems 835
black box which is characterized by the ability to produce an output based on an input.
In the further steps of the development, the target function is decomposed into
subfunctions in order to reduce the complexity of the task to be solved. The individual
subfunctions are connected with each other by the respective inputs and outputs, thereby
creating the functional structure. Sub-functions can be further subdivided into basic
functions to a certain degree. The functional structure is detailed so far until action
principles and solution elements can be found to fulfil each basic function. Depending on
the specific application domain, there are different guidelines that suggest appropriate
subdivisions into basic functions. For mechatronic systems, a distinction is made
between controlling, regulating, measuring and other functions. For example, [VDI3813]
divides room automation functions into different classes. The common feature is the
value-free, solution-neutral presentation, which does not indicate with which
mechanisms, types of energy or information the actual implementation takes place.
2.4</p>
      </sec>
      <sec id="sec-2-4">
        <title>Previous Work on Functional Modeling and Analysis of CES</title>
        <p>In modern system development, functions are designed to be shared between the
different embedded systems (e.g., [BP10], [JS00], [PBK07]). Hence, the SPES_XT
modeling framework allows for separation between system functions and context
functions within its extension for defining the functional design (see [AL16]) as well as
within the SPES_XT context modeling framework (see [DA16]). The term system
function refers to a logical function, which is part of the context subject. Context
functions refer to logical functions, which are available to the context subject, but are
part of context objects. The detailed meta model for functional modeling as specified by
SPES_XT is given by Fig. 1. As can be seen, functions are structurally connected and
have a specific function behavior.
684 AAlelexxanadnedreLruLduedweiwg,iMg,arian</p>
        <p>MariDanauDn,aAunna, APentaroPvesktrao,vWskoalf,gWanoglfBgöahnmg,BAölehxma n,dAerleFxaaynder Fay
The SPES_XT functional modeling framework combines concepts from the current state
of the art (see Section 2.1 - 2.3) to allow for continuous function-centered engineering of
embedded systems. For instance, it allows distinguishing between system functions and
context functions, which is, among others, needed to define which functions are in the
scope of the current development project and which preexisting functions are used from
other systems embedded in the same super systems. For example, to allow defining that
an Adaptive Cruise Control makes use of basic functions provided by the Electronic
Stability Control to determine the car’s current speed and for emergency braking to
prevent rear-end collisions. Furthermore, functions can be defined across different
abstraction levels making use of composition and decomposition. In addition, the
engineer is provided with the possibility to define the functions behavior on the
respective level of granularity needed for a certain situation. For example, in early stages
of requirements engineering the basic functional behavior to be implemented is defined,
while in later phases a detailed port behavior of the function can be defined and checked
against the original defined high-level behavior on the requirements level.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Methodological Approach</title>
      <p>To meet the objectives for extending functional modeling approaches for coping with the
collaborative nature of modern CES, we elicited industry’s requirements. To achieve
Requirements for modeling dynamic function networks for collaborative embedded systems</p>
      <p>Requirements for modeling dynamic function networks for collaborative embedded systems 857
this, we relied on a three-step approach involving surveys, workshops and interviews.
This section summarizes the methodological approach by detailing the single steps:


</p>
      <p>First Step. In the first step, requirements for an engineering methodology for
CESs have been defined by industry professionals while being supported by
academia. To ensure wide applicability of the elicited requirements,
requirements were elicited in six categories: flexibility, dynamicity, and
adaptiveness of architectures, as well as openness, uncertainty, and awareness
of context changes. To ensure domain independent applicability of the elicited
requirements, requirements were exemplarily instantiated for four different
industrial engineering examples from the automotive, robotics, industrial
automation, and energy domain. For this first step, we basically rely on
requirements elicitation conducted among industry and academic partners of the
CrESt project. The elicitation was mainly conducted in several workshops for
each of the six categories.</p>
      <p>Second Step. After general requirements for the engineering of CESs had been
defined in Step 1, we inspected these requirements in a second step, identifying
requirements that to, at least, some extend impact functional modeling and
analysis approaches. Identification was conducted by the authors. Therefore,
specified requirements of the six categories were reviewed and all requirements
potentially relevant were identified. Subsequently, these requirements were
discussed among the authors to achieve agreement on inclusion or exclusion.
The final decision of inclusion and exclusion of requirements to the function
relevant set of requirements was made after a further discussion, where cases of
doubt have been explicitly discussed in more detail.</p>
      <p>Third Step. Based on the identified set of requirements that was relevant for
defining a function-centered engineering methodology, function-specific
requirements were derived by the authors, neglecting the not-relevant parts of
the requirements. These requirements were grouped and aligned to avoid
duplicates and redundancies. Again, agreement among the authors was
achieved by various discussions. In discussions, for instance, the question how
fine-grained requirements shall be defined, for trading off between the easy
understandability of overall requirements and the threat to include non-function
related parts within the requirements, was considered. For example, when it
comes to collaborating systems the CSG commonly exhibits a varying
functional behavior, depending on the current members of the CSG. However,
in single systems engineering there are far more reasons for variability. The
first impression to exclude such common variability as out of scope was
rejected after identifying the further need to also consider variability-intensive
CES partaking in a CSG.</p>
      <p>Thus, the final set of requirements for extending the function-centered engineering
methodology from Section 2.4 was defined, which will be introduced in Section 4.</p>
    </sec>
    <sec id="sec-4">
      <title>Requirements</title>
      <p>In the following chapter, the mentioned groups, into which the requirements have been
divided, will now be discussed in more detail. The groups claim to be as general as
possible for all considered domains and are therefore general in their description. By this
representation, misinterpretations shall be avoided.</p>
      <p>The first group of requirements R1 includes the aspect of modeling the overall function.
When different CESs collaborate, they contribute their individual functions, and a higher
overall function can emerge. For modeling aspects, these distribution needs to be taken
into account as well as the overall function that results from the interplay. Depending on
the domain, a certain type of orchestration is required to make this overall function
manageable. One possible way is to use a central instance that performs the orchestration
tasks. Since this central instance must be assumed to be dynamic and not constant,
depending on the application scenario, there is a need to appoint a CSG leader in the
context of the collaboration. If the process of determining the leader is understood as a
function, this functionality must be taken into account within the modeling. In general,
the capabilities of influence that individual systems have on each other should be able to
be mapped.</p>
      <p>The subject of collaboration between individual systems involves the possibility that the
CESs automate just this collaboration. To carry out the collaboration, the information
exchange between the individual systems is required. R2, therefore, includes the
requirements associated with the communication of functions between CESs. The
function describes the specific contribution which the individual CES can provide within
the framework of the collaboration. For this, the ability to formally communicate this
unique function, as well as its boundaries, is required. This furthermore requires a
semantically correct description of all the functions of the CESs.</p>
      <p>The next group of requirements R3 includes the requirements arising from the dynamic
and open connections between the CESs. The number of CESs within the CSG may vary
over time. CESs can leave and join the CSG. These changes in the composition of the
CSG must be taken into account in the modeling, as well as the influence of the variable
composition of the overall function. It should also be kept in mind that the CES within
the CSG may be subject to change. Among other things, these changes may be due to the
fact that the CES changes due to variability. Since the topic of variability has a large
scope, it should not be considered here. It should be noted, however, that not only the
overall functions of the CSG can change due to the varying number of CESs, but also on
different levels, the CES itself.</p>
      <p>Collaboration between individual CESs serves to achieve a common goal that the single
system alone could not achieve. The exercise of functions of CESs serves to achieve the
goals. Depending on the application domain, there may also be different conflicting
goals during the collaboration. In the fourth group R4, therefore, relationships between
functions and goals in the modeling have to be considered. In particular, the mapping of</p>
      <p>Requirements for modeling dynamic function networks for collaborative embedded systems 879
priorities of individual CES as well as the relation of priorities to the overall function
must be taken into account.</p>
      <p>The fifth group of requirements R5 includes various aspects for modeling errors and
failures in relation to function. Among other things, it requires the execution of different
functionality to compensate for errors and failures. Corresponding functionalities have to
be considered for future realization in the modeling. A simple example at this point is the
unplanned failure of a function of a CES within the CSG. If this failure affects the
overall function of the CSG, then a compensation is required. Among other things, this
can be that another CES, which can also provide this function, compensates for the
failure.</p>
      <p>In group R6, requirements have been compiled concerning the compatibility between
functions of individual CESs as well as requirements for the correctness of the execution
of functions during collaboration. In order to be able to assess the reliability of the
overall function of the CSG and the correctness through appropriate functionality, a
modeling is required which represents both the respective contributions to the overall
functions as well as planned and unplanned emergent effects.</p>
      <p>In the last group R7, modeling requirements have been collected concerning the
functionalities of the restructuring of the CSG. While requirements for modeling variable
functional structures at different levels have been collected in R3, R7 includes the
concrete modeling of the functionality to perform these changes. An explicit modeling of
this function is necessary to implement corresponding dynamic structures of the CSG at
runtime.
5</p>
    </sec>
    <sec id="sec-5">
      <title>Outlook</title>
      <p>The capability of embedded systems to collaborate can only be achieved if the various
requirements directed to these capabilities are taken into account in the early stages of
development. Model-based development approaches can be used as a basis for formally
unambiguously describing and interlinking all required information. Due to the early
modeling of required functional properties of the systems to be developed, these
functional properties can be verified already at very early stages of development. The
modeling of functions during the development of the CES can find crucial application
beyond this development process at runtime. The basis of the collaboration is that the
capabilities and limitations of CESs are formally described as having a unified
understanding of system functions and context functions within the CSG. Not only does
this constitute the essential condition for the provision of a higher added value which the
CSG seeks to achieve, but it can also be used to carry out appropriate analyses on the
adequacy of the functions performed on the basis of function networks. In addition to the
analysis of desired functions, unwanted functional interactions can be detected. Fulfilling
the mentioned requirements presented in Chapter 4 is an essential aspect of developing
future CES. For this purpose, appropriate methods are being researched in the project
CrESt.</p>
      <p>Acknowledgements. This research has partially been funded by the German Federal
Ministry of Education and Research under the grants no. 01IS16043A, 01IS16043U, and
01IS16043V.
6
[Al16]</p>
      <p>Requirements for modeling dynamic function networks for collaborative embedded systems 8191</p>
    </sec>
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