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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Evolution of Software Quality Models: Green and Reliability Issues</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Oleksandr Gordieiev</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vyacheslav Kharchenko</string-name>
          <email>V.Kharchenko@khai.edu</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mario Fusani</string-name>
          <email>mario.fusani@isti.cnr.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>ISTI-CNR, System and Software Evaluation Center</institution>
          ,
          <addr-line>Via Moruzzi, 1 56124 Pisa</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Key Terms. Model</institution>
          ,
          <addr-line>Reliability, Requirement, SoftwareSystem</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>National Aerospace University «KhAI»</institution>
          ,
          <addr-line>17 Chkalova Street, Kharkiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>University of Banking of the National Bank of Ukraine</institution>
          ,
          <addr-line>1 Andriivska Street, Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The group of attributes (characteristics, requirements) related to green software is essential part of software quality model. It consists of the two main attributes as a resources (energy) saving and sustainability. Evolution of software quality models is analyzed in context of green and reliability. In particular, well known software quality models beginning from on the first McCall's model (1977) to models described in standards ISO/IEC9126 (2001) and ISO/IEC25010 (2010) are analyzed according with green and reliability issues. Comparing of the software quality models are carried out using a special metrics of complexity and technique considering the number of levels and attributes and their semantics. Prediction of complexity for the next software quality model (2020) is fulfilled and variants of green software attributes inclusion in model are proposed.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>software quality model</kwd>
        <kwd>green software</kwd>
        <kwd>software reliability</kwd>
        <kwd>evolution analysis</kwd>
        <kwd>metrics</kwd>
        <kwd>ISO/IEC9126</kwd>
        <kwd>ISO/IEC25010</kwd>
        <kwd>structure-semantic analysis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>1.1</p>
    </sec>
    <sec id="sec-2">
      <title>Introduction</title>
      <sec id="sec-2-1">
        <title>Motivation and Work Related Analysis</title>
        <p>A set of Software Quality Models (SWQM) has been introduced during evolution
of software engineering [1]. Software quality is a degree to which a software product
satisfies stated and implied needs when used under specified conditions [2]. Software
Quality Model (SWQM) is usually defined as a set of characteristics and relationships
between them which actually provide the basis for specifying the requirements of
quality, evaluating quality and comparing of SWQMs [3-9]. There are a lot of the
models suggested during «software engineering era» [10]. Some of SWQM, described
in IEEE, ISO, IEC standards, became well-known and can be called basic. New
significant SWQM appear just about once in 10 years. The characteristics and
subcharacteristics set and structure (graph-based hierarchy and semantic content) of
such SWQMs are changed [11-14]. Generally, these sets are extended and the next
SWQM becomes more and more complicated. Changing’s of SWQMs are caused by
evolution of technologies, new challenges in software engineering and so on.</p>
        <p>One of the challenges is development of energy-saving (green) information
technologies. It has been caused by appearance of a concept «green software» [15].
Gist of «green software» (GSW) in a broad sense is described by the following words:
«decrease» (energy or other resources consumption), «don't do much harm and
preserve» (energy, resources, environment) and «improve» (make environment more
comfortable and safe). More wide aspects and directions of green and safe/reliable
computing are discussed in [16,17].</p>
        <p>«Green» characteristics for software are resources saving and sustainability, which
were not explicitly defined in well known SWQMs described by standards
ISO/IEC9126 [18], ISO/IEC25010 [2]. Analysis of [3,4,6-8] allowing to conclude that
SWQMs do not include such characteristics in explicit form.</p>
        <p>Taking into consideration the prerequisites for emergence of green characteristics
in future SWQMs in direct form we analyze the evolution of the characteristics
associated with GSW for existing quality models and try to predict their changing.
The analysis will allow defining tendencies of green characteristics and suggesting
variants of including some in future SWQMs.
1.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Goal and Approach</title>
        <p>A goal of the paper is carrying out of analysis of known software quality models
and their development in context of GSW and software reliability. We aim to
investigating SWQMs using metric-based approach to assess “weights” of different
software quality attributes, first of all, green and reliability characteristics, changing
of the weights during evolution of the models and to predict their changing in future.</p>
        <p>Stages of the research are the following:
1. Determination of occurrence rates for different SWQM attributes
(characteristics at the first level of hierarchy and subcharacteristics at the second one)
in different quality models;</p>
        <p>2. Selection and analysis of SWQM characteristics which are implicitly
associated with green software;</p>
        <p>3. Analysis of SWQMs in context green software and reliability by use of
complexity metrics and calculation of corresponding weights for attributes;
4. Research of relationship/dependency between metric values for green
software, reliability and the years of emergence for known basic SWQMs;
5. Calculation of complexity metric for using results of SWQMs
relationship/dependency comparison, described in [11];</p>
        <p>6. Calculation of complexity metric for green and reliability attributes of new
SWQMs using function describing of dependency between metric values and years of
SWQMs emergence;</p>
        <p>7. Analysis of SWQM in use in context of green software and definition of
possible variants of inclusion of green attributes in new models.
2.1
№
1.
2.
3.</p>
        <p>SWQMs
(years)
McCall
(1977)
Boehm
(1978)</p>
        <sec id="sec-2-2-1">
          <title>Carlo Ghezzi (1991)</title>
        </sec>
        <sec id="sec-2-2-2">
          <title>FURPS (1992)</title>
        </sec>
        <sec id="sec-2-2-3">
          <title>IEEE (1993) Dromey (1995)</title>
          <p>ISO
91261 (2001)</p>
          <p>QMOOD
8. (2002)</p>
          <p>Let’s select and analyse SWQM characteristics which can be implicitly associated
with green software and reliability. The results of analysis are shown in Table 1 and
Table 2 for green characteristics and reliability characteristics correspondingly.
Numeration of the characteristics corresponds with their “places” in hierarchy of
SWQMs.</p>
          <p>To assess “weights” of green characteristics the technique of SWQM
structuresemantic analysis (SSA-technique) can be applied [11]. The technique describes
quality models as a facet-hierarchy structure (graph). Nodes corresponds quality
attributes and links take into account hierarchy dependencies. To briefly characterize
the proposed analysis technique, let us introduce some initial terms:
 conceptual model is a model which a model under study is compared with;
 model under study is a model which is compared with a conceptual model;
 characteristic under study is a conceptual model characteristic which is
compared with model under study characteristics.
2.2</p>
        </sec>
      </sec>
      <sec id="sec-2-3">
        <title>Metrics</title>
        <p>SSA-technique is based on comparing a model under study with the conceptual
model, i.e. every SW Quality Model is compared with the conceptual model. So, the
analysis is equivalent to semantic comparing characteristics and subcharacteristics of
a model under study and the conceptual model with regard to their structures.
Selecting a reference model is usually performed by an expert who has relevant
experience and qualifications.</p>
        <p>At the following stage comparison of models among themselves should be
performed. The simplest and most obvious metrics are offered. Hierarchy of these
metrics is presented in Fig. 1. The metrics are used to compare models with reference
model bottom up, i.e. first at the level of subcharacteristics (subcharacteristics
matching metric SMM, cumulative subcharacteristics comparison metric CSCM,
characteristics matching metric CMM), then at the level of characteristics (cumulative
matching characteristics metric CMCM) and finally at the level of models as a whole
(cumulative software quality models comparison metric CSQMCM).</p>
        <sec id="sec-2-3-1">
          <title>CSQMCM</title>
          <p>CMCMi CMCMi+1
...</p>
        </sec>
        <sec id="sec-2-3-2">
          <title>CMMi</title>
        </sec>
        <sec id="sec-2-3-3">
          <title>CSCMi</title>
          <p>SMMj</p>
        </sec>
        <sec id="sec-2-3-4">
          <title>SMMj+1</title>
          <p>...
...</p>
        </sec>
        <sec id="sec-2-3-5">
          <title>SMMm</title>
          <p>Features of the metrics are the following:
– subcharacteristic matching metric (SMMj). Every subcharacteristic match value
is identified as SMMj = 0,5 / number of reference (conceptual) model elements
subcharacteristics of the characteristic under study. Weights of characteristics are not
considered when calculating metrics;</p>
          <p>– cumulative subcharacteristics comparison metric (CSCM) is evaluated as a sum
of SMM:</p>
          <p>k
CSCM i = ∑
j=1</p>
          <p>SMM j ;
(1)
– characteristics matching metric (CMM) takes the value of 0.5 in case of
matching or 0 if the characteristics are different;
– cumulative matching characteristics metric (CMCM) is calculated as a sum of
k
CMM metric and  j1CSCM j :
k
CMCM i = CMM i + ∑
j=1</p>
          <p>CSCM j ;
– cumulative software quality
calculated according to the formula:
models comparison</p>
          <p>metric (CSQMCM) is
n
CSQMCM i = ∑
j=1</p>
          <p>CMCM j</p>
          <p>Let us conduct SW QM analysis and first of all, define the reference (conceptual)
model. SW Quality Model ISO/IEC 25010 will be considered as uppermost and
etalon regarding to all other models. It is the newest introduced model and takes into
account main modern software peculiarities in point of view quality evaluation. This
model is described by international standard of top level.</p>
          <p>According with results of analysis CMCM is calculated for set of characteristics
presented in Table 1. The results of calculation are shown in Table 3 (Сhs –
characteristics, SChs – subcharacteristics) for GSW characteristics and Table 4 for
reliability characteristics.</p>
          <p>The histogram of CMCM values for software quality models is presented on Fig. 2.
An abscissa axis corresponds to years of SWQM emergence. Initial point (year) is
1970 (as a first year after 1968 which is multiple of a ten years).</p>
          <p>CMCM values will be further represented and analysed only for so-called basic
SWQMs [18]. Basic models were selected considering their support by standards, the
international reputation and application. The models of McCall and Boehm are
similar, hence first one was selected. Hence, the models of Boehm, Ghezzi, FURPS,
Dromey, QMOOD were excluded (Fig. 3).</p>
          <p>The analytical dependency between SWQM appearance year (X axis) and CMCM
value (Y axis) for characteristics associated with GSW may be represented by
regressive liner function:
y = ax+b,
(4)
where x – variable, a and b - regression coefficients. For 1970 year variable (x) has
value 0, for 1980 year x=10, for 1990 year x=20, for 2000 year x=30 and for 2010
year x=40.</p>
          <p>Linear subjection was chosen by graphic data analysis (Fig. 3). Satisfiability of
applying linear subjection is confirmed by coefficient of determination (R2) which
equals 0,94.
(2)
(3)</p>
          <p>Fig. 2. CMCM values for GSW and reliability characteristics of SWQMs.</p>
          <p>Fig. 3. CMCM values for GSW and reliability characteristics of basic SWQMs.
The values of parameters a and b can be calculated using Least Square Method:
As a result а = 0.0146, b = 0.4108 and function:</p>
          <p>,
b = i=1
n n
∑yi a∑xi</p>
          <p>i=1
n</p>
          <p>.</p>
          <p>The obtained function may be called a law of increasing of characteristics
associated with GSW for SWQM.</p>
          <p>The similar dependency can be obtained for reliability characteristics. In this case а
= 0.011, b = 0.5 and function:</p>
          <p>Formulas 7 and 8 illustrate a tendency of SWQMs characteristics/
subcharacteristics changes. Analysis of dependencies (Fig.3) allows concluding that
weights of green and reliability characteristics became equal in 2010 (the standard
ISO/IEC 25010). Hence, since first SWQMs the characteristics/ subcharacteristics
related to green attributes have faster dynamics of increasing.
3</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Development of SWQM in Context of Green Software</title>
      <p>We can assume that the next general SWQM will include GSW characteristics in
an explicit form. Let’s analyse SWQM evolution tendency in context GSW as a
whole. CSQMCM for SWQM may be calculated as shown in formula (3). It may be
appeared for future model (2020 year). In compliance with [11] and basing on the
analytical relationship between SWQM appearance year (X axis) and CSQMCM
value (Y axis) the following formula may be obtained:</p>
      <p>y=0,153x+1,363.</p>
      <p>Besides, considering that each new SWQM approved as a standard is received
about once per 10 years, and that the last model was introduced by the standard
ISO/IEC 25010 appeared in 2010 the prediction of the CSQMCM value can be done.
With this in mind:</p>
      <p>CSQMCM = 0,153*50 + 1,363= 9,013.</p>
      <p>CSQMCM values change is illustrated in Fig. 4 as a histogram for the well known
base SWQM as columns of gray and subsequent SWQM 2020 as a column of light
gray column.</p>
      <p>According to the obtained dependence (4) CMCM for
characteristics is calculated for predictable SWQM 2020 (Fig. 5).
green
software
y=0,0146*50+0,4108=1,1408.</p>
      <p>y = 0,011*50+0,5=1,05.</p>
      <p>And CMCM for reliability characteristics is calculated for predictable SWQM
2020 (Fig. 5).
(11)
(12)</p>
      <p>CMCM values of SWQM 2020 for characteristics associated with «green»
software exceed the value of the same metric for SWQM ISO/IEC 25010 by 0.1408.</p>
      <p>CMCM values of SWQM 2020 for reliability characteristics exceed the value of
the same metric for SWQM ISO/IEC 25010 by 0.05.</p>
      <p>Analysis of dependencies (Fig.5) allows predicting that green characteristics
number will increase faster comparing with other more conservative characteristics.
4</p>
      <p>GSW</p>
    </sec>
    <sec id="sec-4">
      <title>Oriented ON Extending of SWQMs</title>
      <p>Taking into account predictable changing of SWQMs let’s analyse how content of
such models may be added including software quality models in use.
4.1</p>
      <sec id="sec-4-1">
        <title>Variants of GSW Characteristics Inclusion in SWQM</title>
        <p>In the following, possible variants are shown of inclusion of GSW characteristics
and its components in a SWQM.</p>
        <p>1. GSW characteristic can be introduced in SWQM as a separated characteristic
with subcharacteristics resources saving and sustainability. It should be noted that
usually resources saving excludes resource utilization from performance efficiency
characteristic (Fig. 6).</p>
        <p>Software quality
Green software</p>
        <p>...</p>
        <p>Resources saving</p>
        <p>Sustainability</p>
        <p>Performance
efficiency</p>
        <p>Resource
utilisation
2. Green software characteristics are not included in SWQM explicitly, but
subcharacteristics can go in to SWQM (Fig. 7). Resources saving goes in to SWQM
as the subcharacteristic in place of resource utilization. Subcharacteristic
sustainability goes in to SWQM as separated characteristic.</p>
        <sec id="sec-4-1-1">
          <title>Performance efficiency</title>
        </sec>
        <sec id="sec-4-1-2">
          <title>Resource</title>
          <p>utilisation</p>
        </sec>
        <sec id="sec-4-1-3">
          <title>Resources saving</title>
          <p>...</p>
          <p>3. GSW characteristic cannot be explicitly included in SWQM, but
subcharacteristics can be explicitly included (Fig. 8). Resources saving is included in
SWQM as subcharacteristic in place of resource utilization. Sustainability is included
in SWQM as subcharacteristic to characteristic security.</p>
          <p>Software quality</p>
        </sec>
        <sec id="sec-4-1-4">
          <title>Performance</title>
          <p>efficiency
...</p>
        </sec>
        <sec id="sec-4-1-5">
          <title>Security</title>
        </sec>
        <sec id="sec-4-1-6">
          <title>Resource</title>
          <p>utilisation</p>
        </sec>
        <sec id="sec-4-1-7">
          <title>Resources saving</title>
        </sec>
        <sec id="sec-4-1-8">
          <title>Sustainability</title>
          <p>The standards ISO/IEC9126 and 25010 describe a separate type of models
software quality models in use (SWQM-U). SWQM-U is a capability of the software
product to enable specified users to achieve specified goals with effectiveness,
productivity, safety and satisfaction in specified contexts of use [18]. The SWQM-Us
include characteristics, which can be associated with GSW subcharacteristics, in
particular resources saving and sustainability:</p>
          <p> for SWQM-U, ISO/IEC 9126: resources saving – productivity; sustainability
– safety. Productivity is a capability of the software product to enable users to expend
appropriate amounts of resources in relation to the effectiveness achieved in a
specified context of use. Safety is a capability of the software product to achieve
acceptable levels of risk of harm to people, business, software, property or the
environment in a specified context of use. Risks are usually a result of deficiencies in
the functionality (including security), reliability, usability or maintainability;
 for SWQM-U, ISO/IEC 25010: resources saving – efficiency; sustainability
– freedom from risk, which include 3 subcharacteristics – economic risk mitigation,
health and safety risk mitigation and environmental risk mitigation. Efficiency is a
ratio of expended resources to the accuracy and completeness with which users
achieve goals. Freedom from risk is a degree to which a product or system mitigates
the potential risk to economic status, human life, health, or the environment.</p>
          <p>Correlation of SWQM-U characteristics for standards ISO/IEC 9126 and 25010,
which are implicitly associated with «green software» and among themselves is
shown in Fig. 9.</p>
          <p>Thus, GSW related characteristics should be taken into account on development of
the next SWQM (SWQM-U) as well.</p>
          <p>«Green software»
characteristics
Resources saving
Sustainability</p>
          <p>ISO/IEC 9126
2. Productivity
3. Safety</p>
          <p>ISO/IEC 25010
2. Efficiency
4. Freedom from risk</p>
          <p>4.1 Economic risk mitigation
4.2 Health and safety risk mitigation
4.3 Environmental risk mitigation
Fig. 9. Correlation of characteristics of SWQM-Us (ISO/IEC 9126 and ISO/IEC 25010) with
GSW characteristics.
5</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusions</title>
      <p>In compliance with SWQM structural and semantic analysis technique we have
analyzed SWQM of standards ISO/IEC 9126 and 25010 in context characteristics
associated with green software. Using SSA-technique, a relationship between the year
of the SWQM appearance and the value of CMCM was obtained and analyzed.
Besides, we have calculated the CMCM values for the green software characteristics
of the next SWQM, the output of which may be expected in 2020.</p>
      <p>It was also obtained the value of metric - CSQMCM for SWQM of 2020, which
exceeds the value of this indicator for SWQM ISO/IEC 25010 (Fig. 4). It may be
explained by possible inclusion of green software characteristics in SWQM explicitly.</p>
      <p>According with results of analysis we can conclude that:
- since first SWQMs the characteristics/ subcharacteristics related to green
attributes have faster dynamics of increasing;</p>
      <p>- weights of green and reliability characteristics became equal in the standard
ISO/IEC 25010;</p>
      <p>- it is predicted faster increasing of number green characteristics comparing with
other more conservative characteristics.</p>
      <p>However, implementation of green characteristics in future quality models should
be harmonized with basic attributes such as reliability.</p>
      <p>In the future we plan to investigate every SWQM characteristic separately. The
data obtained in this case will provide development of a prototype of the new SWQM.
9.
10.
11.
12.
13.
14.
15.
16. Kharchenko V., Sklyar V., Gorbenko A., Phillips C.: Green Computing and
Communications in Critical Application Domains: Challenges and Solutions. Proceedings
of 9th International Conference on Digital Technologies, May, 29-31, 2013, Žilina,
Slovakia, pp. 24--29 (2013)
17. Kharchenko V. (editor): Green IT-Engineering. In 2 volumes. Vol.1. Principles,
Components and Models - 593 p.; Vol. 2. Systems, Industry, Society. - 628 p. Ukraine:
National Aerospace University KhAI (2014)
18. International Standard ISO/IEC9126-1. Software engineering – Product quality – Part 1:
Quality, 32 p. (2001)</p>
    </sec>
  </body>
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