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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Modeling Complex Software Systems: A Case Study on Sustainable Water Supply Maintenance</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Tihana Galinac Grbac</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dragan Sokolović</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jurica Kovač</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Darko Etinger</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dalibor Fonović</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dario Kukuljan</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Srđan Danijel Simić</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nikola Tanković</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Juraj Dobrila University of Pula</institution>
          ,
          <addr-line>Zagrebačka 30, Pula, HR-52100</addr-line>
          ,
          <country country="HR">Croatia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Smart Aqua d.o.o</institution>
          ,
          <addr-line>Radićeva 27, Pula, HR-52100</addr-line>
          ,
          <country country="HR">Croatia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Digitalization is introducing a virtual representation of the physical world. Such virtual or digital assets, interconnected via global communication network, open unbounded management opportunities that are realized in form of software. Nowadays, digitalization is not a matter of technology change, but is rather perceived as a prerequisite of modern and sustainable operation. Thus, proactive digitalization continuously increases the complexity of globally interconnected software systems and new emerging technologies may bring significant improvements in their management. Management and sustainable goals depend on sound and efective software system engineering solutions. In this paper, we discuss modeling complex software systems within a water supply case study, in which digitalization is introduced to accomplish sustainable goals. Our focus is on water leak report and repair process, for which we open interesting further research and development challenges, based on our previous experiences in modeling complex software systems and in modeling software failure report and repair process.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Modeling complex systems</kwd>
        <kwd>Water Supply System</kwd>
        <kwd>Sustainability</kwd>
        <kwd>Crack report and detection</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The complex software systems are not any more only present in the space mission software
systems, as at the beginning of the software crisis [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. As a result of wide digitalization, networks
evolution, and integration of new technologies, the complex software systems became part
of everyday life of any individual and any institution and in all domains of human activity.
Digital transformation as a response to continuous innovation in digital technologies requires
not only digital assets, but also development of capabilities related to digital agility, digital
networking and big data analytics [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. As a consequence, the appearance of software system
complexity problems are experienced in various sectors. The main purpose of this paper is to
stress the importance of extracting knowledge on modeling complex software systems and
the possible generalization of this knowledge across various domains.
      </p>
      <p>Sustainability is nowadays widely recognized as one of the main drivers for future evolution
of society as a whole. The “sustainable development” has been recognized as the leading goal
for future development and formulated in form of principles in the 2030 Agenda for Sustainable
Development of United Nations, building on the previous strategies since the 1970’s. It is one of
the key priority tasks in all EU strategies, in particular, the latest European Green Deal, thus
reflecting on various sectors (manufacturing, energy systems, tourism, healthcare, agriculture).
Public infrastructure that provides services to individual and industrial users should bring the
main advantage to sustainable societies. Water Management Systems, WMS, the case we study
in this paper, is one of the great examples, in which a coordinated action may bring significant
benefits to global sustainability goals.</p>
      <p>At the Juraj Dobrila University of Pula, Croatia, a group of research and educational
professionals in collaboration with experts from water systems domain is formed aiming to focus
on developing and promoting sustainable goals based on emerging technologies in WMS. The
outcome of this initiative would yield several contributions. Within WMS our research and may
contribute to standards definition by application of new technologies and modeling approaches
in water leakage repair practice. Conclusions regarding complex system practice and
understanding theoretical foundations and generalizations of mathematical and empirical models
in complex systems modeling would be obtained. The last, but not least, the contribution to
the local society would be achieved by educating and engaging local industry, government
and public sector in sustainable solutions development, and thus, enabling their eficient and
efective alignment towards global sustainable goals fulfillment.</p>
      <p>The paper is structured as follows. In Sect. 2 problems of digital transformation are introduced.
The WMS initiative and the focus on the practice for repair of water leakage cracks of concrete
structures is the subject of Sect. 3. In Sect. 4 a literature review on digitalization and application
of new technologies on repair of water leakage cracks in WMS is provided. In Sect. 5 a case
study on digitalization in the largest Croatian water management company is presented. Finally,
Sect. 6 contains the discussion and opens new avenues for future work.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Modeling Complex Systems in Digital Transformation</title>
      <p>
        One of the key prerequisites for the migration towards sustainable society is digitalization. The
term digitalization does not cover only digitization process. It has the broader meaning and
is related to adoption of digital technology by organizations or public [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Digitization is the
process of converting analog information into digital. This means that every information about
any physical artifact has its digital representative that can be managed by software and thus
provide automation possibilities. As a consequence, progressive software service developments
have occurred with appearance of big data challenges that need software processing. Here,
it is important to stress that the way in which the knowledge is extracted and its abstract
representation in the digital world is made, may have significant impact on efectiveness
of digitalization. On the other hand, digitalization itself may not fully explain the complex
mechanisms of a physical system and its underlying processes [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Therefore, additional eforts
are required to examine modeling complex systems while digitalizing various domains, like for
example the case of the WMS. The following list provides the key research and development
topics and problems, which should be addressed during the digital transformation process,
according to [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]:
• Digital phases and digital growth strategies: Any innovation, improvement introduction
into an organization managing a complex software system needs systematical definition of
digital phases, i.e., define how companies go through the phases of digital transformation,
identify digital assets and capabilities. The complexity hinders numerous obstacles
whereas easily can collapse into complex and unpredictable behavior and result in failed
digital transformation [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Systematic digital transformation leadership and organizational
agility positively influence digital transformation [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Therefore, Maturity Model for
Digital Strategy Assessment (MMDSA) has been proposed as a guide and reference
framework for digital transformation management within diferent industries and sectors
[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Furthermore, digital growth strategies should identify potentials for further evolution
and growth, how to evolve existing systems, understand the impact of evolution in relation
to business advantage and system capabilities.
• Digital resources: In view of digitalization anything could be digitalized. However, the
right approach is to digitalize all resources that needs coordinated actions, where there
might occur waste of time, ineficient resource use or serious conflict situation that may
harm quality of service or product delivered. These may include physical resources such
as cables, channels, or routers that are virtualized in the telecommunication network (an
example of virtual resource management platform is OpenStack), or documentation like
for example software failure reports (an example of software failure report management
platform is Bugzilla). The digital resources are the key for development of management
platforms that would further enable future evolution.
• Organizational structure: Digital resources are interconnected and usually form a virtual
view of the organizational structure. Such structure has a significant impact on
management decisions. Therefore, an important aspect is the identification of efective structures
which would best fit agility and sustainability goals. There exist well defined design
principles for managing complex systems such as abstraction, modularity, hierarchy and
layering. These principles are useful for introducing the standardization of procedures
how the complex systems should be built. Therefore, for every new case study
(complex software system, telecommunication network, energy network, water network etc.),
clear structures which enable easier standardization and further management should be
developed.
• Metrics and Goals: Coordinating improvement activities needs systematic methodology
based on set of metrics to guide management decisions by measuring operational
performance and directing towards global goal fulfillment. For example, International Water
Association (IWA) has proposed a performance indication system for water
professionals to enable internal project assessments and metric benchmarking based on standard
metrics [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Water Management System as a Complex System</title>
      <p>The water supply systems, according to some archaeological evidence, existed already around
2500 BC. The people of that time have already discovered the importance of irrigation system
for public and development. An example is the Aflaj Irrigation Systems of Oman, dating back to
AD 500, which is constructed using gravity to channel the water from underground sources or
springs to support public needs such as agriculture and domestic use. The basic idea was to
develop fair and efective distribution system for water share among geographically distributed
groups of people, villages and towns. During the evolution of water supply systems, the
WMS strategies were developed, and many aspects of the WMS services have been recognized.
Similarly as many other complex systems, the WMS can be categorized as a complex system,
because of its numerous users that require services from the common source (natural source
water that is limited), and this common water source is one of the main Earth resources that is
circulating in environment and thus securing the fundamental conditions for all living beings.
It is hard to distinguish boundaries among variety of ecosystems, related groups of interested
parties, companies, countries, etc.</p>
      <p>
        European Commission has established in 2000 a framework for community action in the field
of water policy [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] aiming to define policy for sustainable water management and protection of
freshwater resource. The main objectives of the policy are to protect all forms of water (surface,
ground, inland and transitional), to restore the ecosystems in and around these bodies of water,
pollution reduction, and sustainable water use by individuals and businesses. Furthermore, there
is an established network of water professionals called the International Water Association,
IWS, with the common goal for wise, sustainable and equitable water management. Their
main activities are related to lead and train professionals within the water sector towards
digitalization. Their course of action actually identifies the concrete actions and procedures
within digitalization topics listed in Sect. 2.
      </p>
      <p>
        The focus of this paper is on the leakages in the water distribution system [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. The leaks
formed by the various contributing factors like pipes age, material quality, soil movements,
pressure, etc. can cause significant water-leakage and water waste problems, and damages
to other infrastructure assets like roads, buildings, other installations and in the end also the
interface of the leaking water may be the subject of wetness and thus increase humidity in some
indoor locations or even in some extreme cases may cause health problems to water system
users and contamination of water due to infiltration of dirty water from the pipe surroundings
in moments of pressure drop. Although there are several well defined practices, procedures and
techniques defined for use in such water-leak conditions, these have shown high variation in
results and therefore may not be fully efective in all circumstances. Note that these practices are
dificult to apply and may require well skilled personnel. Furthermore, numerous environmental
conditions in relation to human activity factors in the cracked location may have impact on
results. As a consequence, these may lead to further increased maintenance cost. Standard [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]
aims to trigger standardization practice for selecting appropriate leakage repair materials and
methods for all cases of bursts and leakage due to the diversity of environmental degradation
factors existing in the construction field. Digitalization of WMS with help of new emerging
technologies, but also with meaningful modeling tools and techniques, may bring significant
value to these standardization eforts.
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Literature review on WMS</title>
      <p>
        Recent WMS literature has addressed the problems of finding new and innovative technologies
in water leak detection, digitalization of water leak reports and modeling approaches for better
management of water distribution network and its equipment. Numerous technologies have
been used, and we review them in Table 1 based on [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>Digitalization of WMS involves the use of mobile phones, drones, networked computers
and laptops as sensory devices to collect information used within various applications to
accomplish water management tasks. These devices are controlled and used in interaction
with humans, and human-computer applications have a dominant role. These are, for example,
mobile applications that introduce real time repair reporting documented through images, or
social network applications that enable eficient end user reporting on water leaks, or drone
applications that enable remote leak location investigation, or electronic bill as source of
identification of water leak, etc.</p>
      <p>
        The classical approach to leak detection within water supply distribution system is based
on a continuous water monitoring system, i.e., hourly flow and pressure measurements. The
proposed solutions are implemented on the basis of combined GIS (Geographical Information
System) and SCADA (Supervisory Control and Data Acquisition) systems. GIS system is used
to locate and represent water distribution network within a geographical map. SCADA systems
are used in water distribution networks to measure the pressures and flows of water in the
water pipes and channels and to control network objects like pump stations or reservoirs
based on these data [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. The sensors are implemented across the distribution network and
the data measured from sensors are continuous flows of time series measurements obtained
from various measurement points within a water distribution network. The abnormal state
is represented as significant outliers detected in time series data, and data mining techniques,
like for example Artificial Neural Network, are used to optimize computing time needed to
analyze all time series [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. Various supervised algorithms have been proposed for this purpose
[
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. These solutions are costly to implement due to numerous measurement devices that
need to be installed. Moreover, this classical modeling approach, based on flow and pressure
measurements, is not precisely detecting the location of the leak within the distributed network.
Therefore, a subsequent number of papers have applied the idea of discretization of the water
supply system to predefined areas, district metered areas (DMA) and identification of localized
area within this discrete map [
        <xref ref-type="bibr" rid="ref15 ref16">15, 16</xref>
        ]. The case study in [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] presents the implementation
of the real-time monitoring and data analytical Cloud based tools within two Chilean water
supply systems. They report on the reduction of water losses due to smart selection process for
prioritizing replacement of critical customer meters, better understanding of reported events
and reduction of the response time of those events. Analytical tools used along with real-time
monitoring system are used for categorization of bursts and evaluation of their impact on water
loss volumes. Smart prioritization of repairs and reduced water leaks is obtained in this way.
      </p>
      <p>
        Another approach to leak detection is the use of the hydraulic model and involves simulations
of leaks in all nodes and pipes of the network aiming to match the flows and pressures measured
within the real distributed network. The main drawback of this model is that it is very time
and computing resource consuming process. The third approach presented in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] combines
monitoring system, hydraulic model with neural network classifier, and thus succeeds to reduce
the computing time for simulations.
      </p>
      <p>
        In parallel with SCADA systems, as a closed industrial standard technology, there is a growing
body of research on new models and approaches in WMS systems based on Internet of Things
(IoT). As an open standard technology, it brings much faster innovation cycle and better
integration with other technologies. It is an emerging technology that introduce sensing environment
into communication. A multi layer architecture consists of Perception layer consisting of sensory
devices, Network layer that interconnects distributed sensory devices and enable reliable and
secure communication in IoT using diferent communication methods such as ZigBee, Ethernet,
GSM. At the Service layer numerous services are provided that use sensory network and
provide services to the applications on the top of the layered architecture within the Application
layer where various IoT tools, visualisation tools (e.g. Ubidots), modeling and prediction tools,
etc., may be implemented. This architecture requires development of numerous functions like
sensing, communication, data storage to Cloud, AI for knowledge extraction, etc. For these
functions there is a vast amount of enabling technologies. A recent survey of new emerging
technologies across the IoT architecture is provided in [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. IoT based WMS is combined with
other technologies like GIS, Internet, satellite maps, mobile phones, or human reports to report
on water leaks. A solution for water leak detection based on IoT devices is presented in [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ].
The water distribution system is abstracted and sensors are implemented across the smart home
for water leak detection. Smart building example of real time monitor and control by smart
water meters and data analytic is presented in [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. Furthermore, in [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] an IoT based solution
is presented for waste water management. A solution based on the wireless water pressure
sensors to classify failures based on the pressure values is given in [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ].
      </p>
      <p>
        Digital transformation of water leak report and repair process has recently been addressed
with Digital Twin (DT) technology. The core idea behind digital twin technology is to digitalize
object of management, e.g. water distribution network, and perform real-time interaction
among digital and real world, and thus, allow full integration of these two worlds. Hence,
much more reliable and safer modeling system for prototyping and decision making process
may be achieved. The main diference compared to simulations is that we can have real time
and continuous calibration of the model [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]. The work on implementing digital twin within
water management system is presented in [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. The authors present their experiences while
building a digital twin of the water distribution network of Valencia, Spain, and its metropolitan
area. Derived from their experiences, they report on benefits the technology brings to the
water distribution network and the key leanings on development of such a system. Eforts in
digital twin based digital transformation of water distribution network have been presented in
[
        <xref ref-type="bibr" rid="ref25">25</xref>
        ]. The paper reports on digital water services developed on top of digital twin to support
real-life asset management design intended for analysis and customization of water distribution
networks and for monitoring and leakage reduction through pressure control.
      </p>
      <p>
        Modeling of WMS has largely been discussed in relation to modeling urban growth and
digital transformation. Mainly in the context of cities which are complex systems, adaptive,
selforganized complex structures, and thus interconnecting with various disciplines social, cultural,
technical, ecological, physics and others [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. The work presented is discussing solutions based
on modeling dynamical systems with help of cellular automation. The socio–ecological aspect
by using complex network analysis tools such as motifs and analytical methods such as density,
reciprocity, and centrality are analyzed in [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ]. This study presents how studying socio-technical
relations in networked infrastructure systems may provide promising result in management
such infrastructure.
      </p>
      <p>The reported benefits of use of technologies that may provide real-time measurements are
better and more efective system support in terms of waste management, predictive and efective
system maintenance, long term real time monitor may influence the change of human habits and
behavior by reducing costs. Others also reported benefits such as low energy consumption, easy
installation and easy Cloud integration and data acquisition. All these solutions are reported
for continuous monitoring and control purposes and visualization of such continuous data is
one of the greatest benefits.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Study case</title>
      <sec id="sec-5-1">
        <title>5.1. Case description</title>
        <p>The case study is performed within Vodoopskrba i odvodnja d.o.o. Zagreb, the largest WMS
company in Croatia. It is responsible for maintenance of water supply system, sewerage, water
quality control, and water purification for the city of Zagreb, Samobor, Sveta Nedelja, and the
municipality of Stupnik. The length of the water supply network is approximately 3,500 km,
and about 310,000 m3 of water are pumped daily. The public water supply system covers about
800 km2, which supplies about 900,000 inhabitants with water.</p>
        <p>This project is the first digitization phase of WMS in the Zagreb water utility aiming to
improve water leakage management. Digitalization activities were performed on the process
of leaks repair activities, from reporting until final repair works. The main task undertaken
within this project was conversion of the existing (analog and paper based) water leak report
registration process into a digital system.</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Description of current state</title>
        <p>The maintenance process implemented within Vodopskrba i odvodnja d.o.o. (Zagreb water
utility) consists of Urgent interventions, Water leak detection and maintenance of hygienic
conditions within distributed water supply system and Maintenance of water supply network.
Water distribution network is divided into 12 organizational units that are responsible for
services on distributed network infrastructure. Urgent interventions consist of the call center
and operations field working teams. The processes were heavily based on human and paper
based administration. The process of maintenance is as follows:
• Citizens (customers) and water utility employees reports the water leakage to the central
call center
• Administrative person in the call center make formal written notifications in the “Report
book” and checks location in the existing GIS
• Administrative person contacts by phone field teams for urgent interventions to check
received notification on site
• If possible, urgent team repairs visible leaks. When leak is repaired or not, they call back
personnel in the call center to inform them about the situation and also write down own
report (working order documents)
• In case urgent intervention team was unable to repair the leak, administrative person in
the call center prepares separate written document about the leaks informations collected
and sends it by fax (in urgent cases notifies by phone) to leak detection manager or to the
leaks repairs managers
• Leak detection teams conduct works following received information and at the end of
the day prepare separate documents for each leak located that is later delivered to the
administrative person in the call center
• Leak repair teams perform work orders following received documents from the call center
and prepare their own final document that is later submitted to the call center
• Administrative person in the call center at the end of the procedure for each leak has to
upend information in the “Report book” and also in separate PC Data base.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. Description of new technologies employed</title>
        <p>The implementation of the Smart Aqua solution includes the following technologies:</p>
        <p>1. digitalization of reports from the citizen side to the Vodoopskrba i odvodnja d.o.o, as to
enter the data of the fault report on the digital map in a simple and intuitive way with all
associated information needed to field workers to carry out repairs
2. integration of the information collected from the citizens into central CMS database along
with digital data about the infrastructure (pipelines, valves, hydrants, . . . )
3. development of CMS with list of all internal operations and field working teams, where
each field team sees its assigned tasks with a specification of needs
4. integration of company database CMS with GIS data,
5. introduction of DSS to appoint field workers to the water leak report
6. digitalization of water leak report closure with details about action performed
7. automatic synthesis of data and analytical display of the same on the dashboard in real
time for the needs of managers</p>
        <p>An example of visualization is presented in Figure 1. The paper based documentation is
replaced with digital. The main digital asset introduced is the digital report on water leak. All
communication with field workers is implemented through mobile applications in real time.
Applications developed for urgent interventions have access to the company CMS and use
overview over historical water leak reports in interaction with GIS and field worker data.
Complete improvement process involved a number of training workshops for educating personnel
on improved processes based on technologies use.</p>
      </sec>
      <sec id="sec-5-4">
        <title>5.4. Reported benefits</title>
        <p>The main benefit of this project was increased process eficiency, shorter lead time from report
to problem solution. Also, each field worker becomes an active participant both in the creation
of information and in the use of all available information. Simplicity and intuitiveness in the use
of digital tools, which do not require previous IT experience, are essential. The rapid
implementation of the system enables visible benefits in a short time, which contributes to the process of
acceptance of digital technologies by employees. Furthermore, digitalization of information
from the field operations enable continuous monitor of water leak report and repair process
that improved quality of the whole process, improved coordination among organizational units,
introduced standard reporting procedures that reflected on better monitoring and prediction.
After all, the removal of paper based documents has also positively afected process costs, but
also human need for paper reporting. The biggest benefit has been reported by field workers,
because of simplicity of use with timely reporting procedures.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusion, discussion and future work</title>
      <p>
        Digitalization of public sector is not as easy as one may think. There are numerous obstacles,
from people acceptance to technology change. The structured leadership and improvement
strategies are the primary challenge to address. Digital transformation requires interdisciplinary
approach [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and is not one step process, but stepwise procedure of adoption of new technology,
and in each step the overall increase in entropy should be minimized [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ]. The availability of
adequate training tools may speed up the adaptation process.
      </p>
      <p>
        There has been relatively limited research on advancements that digitalization bring to
sustainable WMS compared to other domains (e.g. health, transport, energy), [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]. The
predictability of system behavior is the most important for sustainable WMS. Modeling WMS
predictability is a complex issue, since it involves numerous factors like geographical
distribution, numerous sensory data, real-time and continuous measurements from various points
across distributed network. Furthermore, the applied new technologies that emerge toward
digital twins solutions may require sophisticated software engineering skills due to progressive
innovation of software services after digitalization, service integration problems, the side efects
of service run-time versus static time compilation and engineering aspects across the system
life-cycle. The similar requirements and problems we study in domain of telecommunication
network and engineering software systems. Therefore, we want to consider how transferable
are empirical knowledge and mathematical models collected from modeling software in
other sectors across the various disciplines. Our research project [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ] aims at understanding
how the system structure afects the global system behavior [
        <xref ref-type="bibr" rid="ref30 ref31 ref32 ref33">30, 31, 32, 33</xref>
        ]. We see correlations
to software structures that are present in complex software systems we have studied so far. We
may transfer the knowledge from software and network management to WMS. More precisely,
our previous study on topology of software structures to predict software smells may contribute
to modeling WMS to predict water leaks.
      </p>
      <p>Finally, the digitalization of WMS could be perceived as just one case study of global
digitalization. There are common pitfalls while digitalizing all sectors. Abstract knowledge from
various case studies can be generalized to form sound theories for further evolution
in computer and network science field with respect of abstraction, structure modeling and
analysis and management in general.</p>
    </sec>
    <sec id="sec-7">
      <title>7. Acknowledgments</title>
      <p>We acknowledge the support of the Croatian Science Foundation research project no.
HRZZ-IP2019-04-4216 and the Erasmus+ Key Action 2 project No. 2020–1–PT01–KA203–078646.</p>
      <p>The case study has been implemented by Smart Aqua d.o.o., Pula, Croatia, and carried out
within Vodoopskrba i odvodnja d.o.o. Zagreb, Croatia.</p>
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